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authorAlasdair2019-04-27 00:20:37 +0100
committerAlasdair2019-04-27 00:40:56 +0100
commit0c99f19b012205f1be1d4ae18b722ecbdd80e3d4 (patch)
tree55f796f9bdf270064bfe87bdf275b93ffcdc1fb2 /lib
parentbf240119e43cb4e3b5f5746b5ef21f19a8fac2d2 (diff)
parent094c8e254abde44d45097aca7a36203704fe2ef4 (diff)
Merge branch 'sail2' into smt_experiments
Diffstat (limited to 'lib')
-rw-r--r--lib/arith.sail29
-rw-r--r--lib/coq/Makefile2
-rw-r--r--lib/coq/Sail2_instr_kinds.v15
-rw-r--r--lib/coq/Sail2_operators_mwords.v2
-rw-r--r--lib/coq/Sail2_prompt.v38
-rw-r--r--lib/coq/Sail2_prompt_monad.v300
-rw-r--r--lib/coq/Sail2_state.v129
-rw-r--r--lib/coq/Sail2_state_lifting.v61
-rw-r--r--lib/coq/Sail2_state_monad.v422
-rw-r--r--lib/coq/Sail2_values.v75
-rw-r--r--lib/elf.sail2
-rw-r--r--lib/flow.sail4
-rw-r--r--lib/hol/sail2_prompt_monad.lem2
-rw-r--r--lib/instr_kinds.sail28
-rw-r--r--lib/isabelle/Sail2_state_lemmas.thy6
-rw-r--r--lib/isabelle/output/document/Sail2_operators_bitlists.tex1810
-rw-r--r--lib/regfp.sail30
-rw-r--r--lib/rts.c54
-rw-r--r--lib/rts.h19
-rw-r--r--lib/sail.h1
-rw-r--r--lib/smt.sail3
-rw-r--r--lib/vector_dec.sail29
-rw-r--r--lib/vector_inc.sail14
23 files changed, 2695 insertions, 380 deletions
diff --git a/lib/arith.sail b/lib/arith.sail
index 798bde12..1950080a 100644
--- a/lib/arith.sail
+++ b/lib/arith.sail
@@ -5,19 +5,19 @@ $include <flow.sail>
// ***** Addition *****
-val add_atom = {ocaml: "add_int", lem: "integerAdd", c: "add_int", coq: "Z.add"} : forall 'n 'm.
+val add_atom = {ocaml: "add_int", interpreter: "add_int", lem: "integerAdd", c: "add_int", coq: "Z.add"} : forall 'n 'm.
(int('n), int('m)) -> int('n + 'm)
-val add_int = {ocaml: "add_int", lem: "integerAdd", c: "add_int", coq: "Z.add"} : (int, int) -> int
+val add_int = {ocaml: "add_int", interpreter: "add_int", lem: "integerAdd", c: "add_int", coq: "Z.add"} : (int, int) -> int
overload operator + = {add_atom, add_int}
// ***** Subtraction *****
-val sub_atom = {ocaml: "sub_int", lem: "integerMinus", c: "sub_int", coq: "Z.sub"} : forall 'n 'm.
+val sub_atom = {ocaml: "sub_int", interpreter: "sub_int", lem: "integerMinus", c: "sub_int", coq: "Z.sub"} : forall 'n 'm.
(int('n), int('m)) -> int('n - 'm)
-val sub_int = {ocaml: "sub_int", lem: "integerMinus", c: "sub_int", coq: "Z.sub"} : (int, int) -> int
+val sub_int = {ocaml: "sub_int", interpreter: "sub_int", lem: "integerMinus", c: "sub_int", coq: "Z.sub"} : (int, int) -> int
overload operator - = {sub_atom, sub_int}
@@ -29,18 +29,18 @@ val sub_nat = {
// ***** Negation *****
-val negate_atom = {ocaml: "negate", lem: "integerNegate", c: "neg_int", coq: "Z.opp"} : forall 'n. int('n) -> int(- 'n)
+val negate_atom = {ocaml: "negate", interpreter: "negate", lem: "integerNegate", c: "neg_int", coq: "Z.opp"} : forall 'n. int('n) -> int(- 'n)
-val negate_int = {ocaml: "negate", lem: "integerNegate", c: "neg_int", coq: "Z.opp"} : int -> int
+val negate_int = {ocaml: "negate", interpreter: "negate", lem: "integerNegate", c: "neg_int", coq: "Z.opp"} : int -> int
overload negate = {negate_atom, negate_int}
// ***** Multiplication *****
-val mult_atom = {ocaml: "mult", lem: "integerMult", c: "mult_int", coq: "Z.mul"} : forall 'n 'm.
+val mult_atom = {ocaml: "mult", interpreter: "mult", lem: "integerMult", c: "mult_int", coq: "Z.mul"} : forall 'n 'm.
(int('n), int('m)) -> int('n * 'm)
-val mult_int = {ocaml: "mult", lem: "integerMult", c: "mult_int", coq: "Z.mul"} : (int, int) -> int
+val mult_int = {ocaml: "mult", interpreter: "mult", lem: "integerMult", c: "mult_int", coq: "Z.mul"} : (int, int) -> int
overload operator * = {mult_atom, mult_int}
@@ -57,13 +57,13 @@ let elsize = shl_int(8, UInt(size))
```
THIS ensures that in this case the typechecker knows that the end result will be a value in the set `{8, 16, 32, 64}`
*/
-val _shl8 = {c: "shl_mach_int", _: "shl_int"} :
+val _shl8 = {c: "shl_mach_int", coq: "shl_int_8", _: "shl_int"} :
forall 'n, 0 <= 'n <= 3. (int(8), int('n)) -> {'m, 'm in {8, 16, 32, 64}. int('m)}
/*!
Similarly, we can shift 32 by either 0 or 1 to get a value in `{32, 64}`
*/
-val _shl32 = {c: "shl_mach_int", _: "shl_int"} :
+val _shl32 = {c: "shl_mach_int", coq: "shl_int_32", _: "shl_int"} :
forall 'n, 'n in {0, 1}. (int(32), int('n)) -> {'m, 'm in {32, 64}. int('m)}
val _shl_int = "shl_int" : (int, int) -> int
@@ -81,20 +81,25 @@ overload shr_int = {_shr32, _shr_int}
/*! Truncating division (rounds towards zero) */
val tdiv_int = {
ocaml: "tdiv_int",
+ interpreter: "tdiv_int",
lem: "integerDiv_t",
- c: "tdiv_int"
+ c: "tdiv_int",
+ coq: "Z.quot"
} : (int, int) -> int
/*! Remainder for truncating division (has sign of dividend) */
val tmod_int = {
ocaml: "tmod_int",
+ interpreter: "tmod_int",
lem: "integerMod_t",
- c: "tmod_int"
+ c: "tmod_int",
+ coq: "Z.rem"
} : (int, int) -> nat
val abs_int = {
smt : "abs",
ocaml: "abs_int",
+ interpreter: "abs_int",
lem: "abs_int",
c: "abs_int",
coq: "Z.abs"
diff --git a/lib/coq/Makefile b/lib/coq/Makefile
index 6dd962d1..f763db6f 100644
--- a/lib/coq/Makefile
+++ b/lib/coq/Makefile
@@ -1,6 +1,6 @@
BBV_DIR?=../../../bbv
-SRC=Sail2_prompt_monad.v Sail2_prompt.v Sail2_impl_base.v Sail2_instr_kinds.v Sail2_operators_bitlists.v Sail2_operators_mwords.v Sail2_operators.v Sail2_values.v Sail2_state_monad.v Sail2_state.v Sail2_string.v Sail2_real.v
+SRC=Sail2_prompt_monad.v Sail2_prompt.v Sail2_impl_base.v Sail2_instr_kinds.v Sail2_operators_bitlists.v Sail2_operators_mwords.v Sail2_operators.v Sail2_values.v Sail2_state_monad.v Sail2_state.v Sail2_state_lifting.v Sail2_string.v Sail2_real.v
COQ_LIBS = -R . Sail -R "$(BBV_DIR)/theories" bbv
diff --git a/lib/coq/Sail2_instr_kinds.v b/lib/coq/Sail2_instr_kinds.v
index c6fb866b..338bf10b 100644
--- a/lib/coq/Sail2_instr_kinds.v
+++ b/lib/coq/Sail2_instr_kinds.v
@@ -48,14 +48,13 @@
(* SUCH DAMAGE. *)
(*========================================================================*)
+Require Import DecidableClass.
-(*
-
-class ( EnumerationType 'a )
- val toNat : 'a -> nat
-end
-
+Class EnumerationType (A : Type) := {
+ toNat : A -> nat
+}.
+(*
val enumeration_typeCompare : forall 'a. EnumerationType 'a => 'a -> 'a -> ordering
let ~{ocaml} enumeration_typeCompare e1 e2 :=
compare (toNat e1) (toNat e2)
@@ -89,6 +88,7 @@ Inductive read_kind :=
(* x86 reads *)
| Read_X86_locked (* the read part of a lock'd instruction (rmw) *)
.
+Scheme Equality for read_kind.
(*
instance (Show read_kind)
let show := function
@@ -121,6 +121,7 @@ Inductive write_kind :=
(* x86 writes *)
| Write_X86_locked (* the write part of a lock'd instruction (rmw) *)
.
+Scheme Equality for write_kind.
(*
instance (Show write_kind)
let show := function
@@ -161,6 +162,7 @@ Inductive barrier_kind :=
| Barrier_RISCV_i
(* X86 *)
| Barrier_x86_MFENCE.
+Scheme Equality for barrier_kind.
(*
instance (Show barrier_kind)
@@ -196,6 +198,7 @@ end*)
Inductive trans_kind :=
(* AArch64 *)
| Transaction_start | Transaction_commit | Transaction_abort.
+Scheme Equality for trans_kind.
(*
instance (Show trans_kind)
let show := function
diff --git a/lib/coq/Sail2_operators_mwords.v b/lib/coq/Sail2_operators_mwords.v
index ebab269f..5a5f130c 100644
--- a/lib/coq/Sail2_operators_mwords.v
+++ b/lib/coq/Sail2_operators_mwords.v
@@ -485,7 +485,7 @@ Definition reverse_endianness {n} (bits : mword n) := with_word (P := id) revers
Definition get_slice_int {a} `{ArithFact (a >= 0)} : Z -> Z -> Z -> mword a := get_slice_int_bv.
Definition set_slice n m (v : mword n) x (w : mword m) : mword n :=
- update_subrange_vec_dec v (x + m - 1) x v.
+ update_subrange_vec_dec v (x + m - 1) x w.
Definition set_slice_int len n lo (v : mword len) : Z :=
let hi := lo + len - 1 in
diff --git a/lib/coq/Sail2_prompt.v b/lib/coq/Sail2_prompt.v
index 8efd66f0..5ab93cbc 100644
--- a/lib/coq/Sail2_prompt.v
+++ b/lib/coq/Sail2_prompt.v
@@ -136,19 +136,29 @@ Definition Zwf_guarded (z:Z) : Acc (Zwf 0) z :=
end).
(*val whileM : forall 'rv 'vars 'e. 'vars -> ('vars -> monad 'rv bool 'e) ->
- ('vars -> monad 'rv 'vars 'e) -> monad 'rv 'vars 'e
-let rec whileM vars cond body =
- cond vars >>= fun cond_val ->
- if cond_val then
- body vars >>= fun vars -> whileM vars cond body
- else return vars
-
-val untilM : forall 'rv 'vars 'e. 'vars -> ('vars -> monad 'rv bool 'e) ->
- ('vars -> monad 'rv 'vars 'e) -> monad 'rv 'vars 'e
-let rec untilM vars cond body =
- body vars >>= fun vars ->
- cond vars >>= fun cond_val ->
- if cond_val then return vars else untilM vars cond body
+ ('vars -> monad 'rv 'vars 'e) -> monad 'rv 'vars 'e*)
+Fixpoint whileMT' {RV Vars E} limit (vars : Vars) (cond : Vars -> monad RV bool E) (body : Vars -> monad RV Vars E) (acc : Acc (Zwf 0) limit) : monad RV Vars E :=
+ if Z_ge_dec limit 0 then
+ cond vars >>= fun cond_val =>
+ if cond_val then
+ body vars >>= fun vars => whileMT' (limit - 1) vars cond body (_limit_reduces acc)
+ else returnm vars
+ else Fail "Termination limit reached".
+
+Definition whileMT {RV Vars E} limit (vars : Vars) (cond : Vars -> monad RV bool E) (body : Vars -> monad RV Vars E) : monad RV Vars E :=
+ whileMT' limit vars cond body (Zwf_guarded limit).
+
+(*val untilM : forall 'rv 'vars 'e. 'vars -> ('vars -> monad 'rv bool 'e) ->
+ ('vars -> monad 'rv 'vars 'e) -> monad 'rv 'vars 'e*)
+Fixpoint untilMT' {RV Vars E} limit (vars : Vars) (cond : Vars -> monad RV bool E) (body : Vars -> monad RV Vars E) (acc : Acc (Zwf 0) limit) : monad RV Vars E :=
+ if Z_ge_dec limit 0 then
+ body vars >>= fun vars =>
+ cond vars >>= fun cond_val =>
+ if cond_val then returnm vars else untilMT' (limit - 1) vars cond body (_limit_reduces acc)
+ else Fail "Termination limit reached".
+
+Definition untilMT {RV Vars E} limit (vars : Vars) (cond : Vars -> monad RV bool E) (body : Vars -> monad RV Vars E) : monad RV Vars E :=
+ untilMT' limit vars cond body (Zwf_guarded limit).
(*let write_two_regs r1 r2 vec =
let is_inc =
@@ -171,8 +181,6 @@ let rec untilM vars cond body =
else slice vec (start_vec - size_r1) (start_vec - size_vec) in
write_reg r1 r1_v >> write_reg r2 r2_v*)
-*)
-
(* If we need to build an existential after a monadic operation, assume that
we can do it entirely from the type. *)
diff --git a/lib/coq/Sail2_prompt_monad.v b/lib/coq/Sail2_prompt_monad.v
index 2715b5e7..f95e4b6c 100644
--- a/lib/coq/Sail2_prompt_monad.v
+++ b/lib/coq/Sail2_prompt_monad.v
@@ -2,27 +2,28 @@ Require Import String.
(*Require Import Sail_impl_base*)
Require Import Sail2_instr_kinds.
Require Import Sail2_values.
-
-
+Require bbv.Word.
+Import ListNotations.
Definition register_name := string.
Definition address := list bitU.
Inductive monad regval a e :=
| Done : a -> monad regval a e
- (* Read a number : bytes from memory, returned in little endian order *)
- | Read_mem : read_kind -> address -> nat -> (list memory_byte -> monad regval a e) -> monad regval a e
- (* Read the tag : a memory address *)
- | Read_tag : address -> (bitU -> monad regval a e) -> monad regval a e
- (* Tell the system a write is imminent, at address lifted, : size nat *)
- | Write_ea : write_kind -> address -> nat -> monad regval a e -> monad regval a e
+ (* Read a number of bytes from memory, returned in little endian order,
+ with or without a tag. The first nat specifies the address, the second
+ the number of bytes. *)
+ | Read_mem : read_kind -> nat -> nat -> (list memory_byte -> monad regval a e) -> monad regval a e
+ | Read_memt : read_kind -> nat -> nat -> ((list memory_byte * bitU) -> monad regval a e) -> monad regval a e
+ (* Tell the system a write is imminent, at the given address and with the
+ given size. *)
+ | Write_ea : write_kind -> nat -> nat -> monad regval a e -> monad regval a e
(* Request the result : store-exclusive *)
| Excl_res : (bool -> monad regval a e) -> monad regval a e
- (* Request to write memory at last signalled address. Memory value should be 8
- times the size given in ea signal, given in little endian order *)
- | Write_memv : list memory_byte -> (bool -> monad regval a e) -> monad regval a e
- (* Request to write the tag at last signalled address. *)
- | Write_tag : address -> bitU -> (bool -> monad regval a e) -> monad regval a e
+ (* Request to write a memory value of the given size at the given address,
+ with or without a tag. *)
+ | Write_mem : write_kind -> nat -> nat -> list memory_byte -> (bool -> monad regval a e) -> monad regval a e
+ | Write_memt : write_kind -> nat -> nat -> list memory_byte -> bitU -> (bool -> monad regval a e) -> monad regval a e
(* Tell the system to dynamically recalculate dependency footprint *)
| Footprint : monad regval a e -> monad regval a e
(* Request a memory barrier *)
@@ -31,50 +32,70 @@ Inductive monad regval a e :=
| Read_reg : register_name -> (regval -> monad regval a e) -> monad regval a e
(* Request to write register *)
| Write_reg : register_name -> regval -> monad regval a e -> monad regval a e
- | Undefined : (bool -> monad regval a e) -> monad regval a e
- (*Result : a failed assert with possible error message to report*)
+ (* Request to choose a Boolean, e.g. to resolve an undefined bit. The string
+ argument may be used to provide information to the system about what the
+ Boolean is going to be used for. *)
+ | Choose : string -> (bool -> monad regval a e) -> monad regval a e
+ (* Print debugging or tracing information *)
+ | Print : string -> monad regval a e -> monad regval a e
+ (*Result of a failed assert with possible error message to report*)
| Fail : string -> monad regval a e
- | Error : string -> monad regval a e
- (* Exception : type e *)
+ (* Exception of type e *)
| Exception : e -> monad regval a e.
- (* TODO: Reading/writing tags *)
Arguments Done [_ _ _].
Arguments Read_mem [_ _ _].
-Arguments Read_tag [_ _ _].
+Arguments Read_memt [_ _ _].
Arguments Write_ea [_ _ _].
Arguments Excl_res [_ _ _].
-Arguments Write_memv [_ _ _].
-Arguments Write_tag [_ _ _].
+Arguments Write_mem [_ _ _].
+Arguments Write_memt [_ _ _].
Arguments Footprint [_ _ _].
Arguments Barrier [_ _ _].
Arguments Read_reg [_ _ _].
Arguments Write_reg [_ _ _].
-Arguments Undefined [_ _ _].
+Arguments Choose [_ _ _].
+Arguments Print [_ _ _].
Arguments Fail [_ _ _].
-Arguments Error [_ _ _].
Arguments Exception [_ _ _].
+Inductive event {regval} :=
+ | E_read_mem : read_kind -> nat -> nat -> list memory_byte -> event
+ | E_read_memt : read_kind -> nat -> nat -> (list memory_byte * bitU) -> event
+ | E_write_mem : write_kind -> nat -> nat -> list memory_byte -> bool -> event
+ | E_write_memt : write_kind -> nat -> nat -> list memory_byte -> bitU -> bool -> event
+ | E_write_ea : write_kind -> nat -> nat -> event
+ | E_excl_res : bool -> event
+ | E_barrier : barrier_kind -> event
+ | E_footprint : event
+ | E_read_reg : register_name -> regval -> event
+ | E_write_reg : register_name -> regval -> event
+ | E_choose : string -> bool -> event
+ | E_print : string -> event.
+Arguments event : clear implicits.
+
+Definition trace regval := list (event regval).
+
(*val return : forall rv a e. a -> monad rv a e*)
Definition returnm {rv A E} (a : A) : monad rv A E := Done a.
(*val bind : forall rv a b e. monad rv a e -> (a -> monad rv b e) -> monad rv b e*)
Fixpoint bind {rv A B E} (m : monad rv A E) (f : A -> monad rv B E) := match m with
| Done a => f a
- | Read_mem rk a sz k => Read_mem rk a sz (fun v => bind (k v) f)
- | Read_tag a k => Read_tag a (fun v => bind (k v) f)
- | Write_memv descr k => Write_memv descr (fun v => bind (k v) f)
- | Write_tag a t k => Write_tag a t (fun v => bind (k v) f)
- | Read_reg descr k => Read_reg descr (fun v => bind (k v) f)
- | Excl_res k => Excl_res (fun v => bind (k v) f)
- | Undefined k => Undefined (fun v => bind (k v) f)
- | Write_ea wk a sz k => Write_ea wk a sz (bind k f)
- | Footprint k => Footprint (bind k f)
- | Barrier bk k => Barrier bk (bind k f)
- | Write_reg r v k => Write_reg r v (bind k f)
- | Fail descr => Fail descr
- | Error descr => Error descr
- | Exception e => Exception e
+ | Read_mem rk a sz k => Read_mem rk a sz (fun v => bind (k v) f)
+ | Read_memt rk a sz k => Read_memt rk a sz (fun v => bind (k v) f)
+ | Write_mem wk a sz v k => Write_mem wk a sz v (fun v => bind (k v) f)
+ | Write_memt wk a sz v t k => Write_memt wk a sz v t (fun v => bind (k v) f)
+ | Read_reg descr k => Read_reg descr (fun v => bind (k v) f)
+ | Excl_res k => Excl_res (fun v => bind (k v) f)
+ | Choose descr k => Choose descr (fun v => bind (k v) f)
+ | Write_ea wk a sz k => Write_ea wk a sz (bind k f)
+ | Footprint k => Footprint (bind k f)
+ | Barrier bk k => Barrier bk (bind k f)
+ | Write_reg r v k => Write_reg r v (bind k f)
+ | Print msg k => Print msg (bind k f)
+ | Fail descr => Fail descr
+ | Exception e => Exception e
end.
Notation "m >>= f" := (bind m f) (at level 50, left associativity).
@@ -86,8 +107,11 @@ Notation "m >> n" := (bind0 m n) (at level 50, left associativity).
(*val exit : forall rv a e. unit -> monad rv a e*)
Definition exit {rv A E} (_ : unit) : monad rv A E := Fail "exit".
+(*val choose_bool : forall 'rv 'e. string -> monad 'rv bool 'e*)
+Definition choose_bool {rv E} descr : monad rv bool E := Choose descr returnm.
+
(*val undefined_bool : forall 'rv 'e. unit -> monad 'rv bool 'e*)
-Definition undefined_bool {rv e} (_:unit) : monad rv bool e := Undefined returnm.
+Definition undefined_bool {rv e} (_:unit) : monad rv bool e := choose_bool "undefined_bool".
(*val assert_exp : forall rv e. bool -> string -> monad rv unit e*)
Definition assert_exp {rv E} (exp :bool) msg : monad rv unit E :=
@@ -104,21 +128,21 @@ Definition throw {rv A E} e : monad rv A E := Exception e.
(*val try_catch : forall rv a e1 e2. monad rv a e1 -> (e1 -> monad rv a e2) -> monad rv a e2*)
Fixpoint try_catch {rv A E1 E2} (m : monad rv A E1) (h : E1 -> monad rv A E2) := match m with
- | Done a => Done a
- | Read_mem rk a sz k => Read_mem rk a sz (fun v => try_catch (k v) h)
- | Read_tag a k => Read_tag a (fun v => try_catch (k v) h)
- | Write_memv descr k => Write_memv descr (fun v => try_catch (k v) h)
- | Write_tag a t k => Write_tag a t (fun v => try_catch (k v) h)
- | Read_reg descr k => Read_reg descr (fun v => try_catch (k v) h)
- | Excl_res k => Excl_res (fun v => try_catch (k v) h)
- | Undefined k => Undefined (fun v => try_catch (k v) h)
- | Write_ea wk a sz k => Write_ea wk a sz (try_catch k h)
- | Footprint k => Footprint (try_catch k h)
- | Barrier bk k => Barrier bk (try_catch k h)
- | Write_reg r v k => Write_reg r v (try_catch k h)
- | Fail descr => Fail descr
- | Error descr => Error descr
- | Exception e => h e
+ | Done a => Done a
+ | Read_mem rk a sz k => Read_mem rk a sz (fun v => try_catch (k v) h)
+ | Read_memt rk a sz k => Read_memt rk a sz (fun v => try_catch (k v) h)
+ | Write_mem wk a sz v k => Write_mem wk a sz v (fun v => try_catch (k v) h)
+ | Write_memt wk a sz v t k => Write_memt wk a sz v t (fun v => try_catch (k v) h)
+ | Read_reg descr k => Read_reg descr (fun v => try_catch (k v) h)
+ | Excl_res k => Excl_res (fun v => try_catch (k v) h)
+ | Choose descr k => Choose descr (fun v => try_catch (k v) h)
+ | Write_ea wk a sz k => Write_ea wk a sz (try_catch k h)
+ | Footprint k => Footprint (try_catch k h)
+ | Barrier bk k => Barrier bk (try_catch k h)
+ | Write_reg r v k => Write_reg r v (try_catch k h)
+ | Print msg k => Print msg (try_catch k h)
+ | Fail descr => Fail descr
+ | Exception e => h e
end.
(* For early return, we abuse exceptions by throwing and catching
@@ -158,61 +182,81 @@ match x with
| None => Fail msg
end.
+(*val read_memt_bytes : forall 'rv 'a 'b 'e. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monad 'rv (list memory_byte * bitU) 'e*)
+Definition read_memt_bytes {rv A E} rk (addr : mword A) sz : monad rv (list memory_byte * bitU) E :=
+ Read_memt rk (Word.wordToNat (get_word addr)) (Z.to_nat sz) returnm.
+
+(*val read_memt : forall 'rv 'a 'b 'e. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monad 'rv ('b * bitU) 'e*)
+Definition read_memt {rv A B E} `{ArithFact (B >= 0)} rk (addr : mword A) sz : monad rv (mword B * bitU) E :=
+ bind
+ (read_memt_bytes rk addr sz)
+ (fun '(bytes, tag) =>
+ match of_bits (bits_of_mem_bytes bytes) with
+ | Some v => returnm (v, tag)
+ | None => Fail "bits_of_mem_bytes"
+ end).
+
(*val read_mem_bytes : forall 'rv 'a 'b 'e. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monad 'rv (list memory_byte) 'e*)
Definition read_mem_bytes {rv A E} rk (addr : mword A) sz : monad rv (list memory_byte) E :=
- Read_mem rk (bits_of addr) (Z.to_nat sz) returnm.
+ Read_mem rk (Word.wordToNat (get_word addr)) (Z.to_nat sz) returnm.
(*val read_mem : forall 'rv 'a 'b 'e. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monad 'rv 'b 'e*)
-Definition read_mem {rv A B E} `{ArithFact (B >= 0)} rk (addr : mword A) sz : monad rv (mword B) E :=
+Definition read_mem {rv A B E} `{ArithFact (B >= 0)} rk (addrsz : Z) (addr : mword A) sz : monad rv (mword B) E :=
bind
(read_mem_bytes rk addr sz)
(fun bytes =>
maybe_fail "bits_of_mem_bytes" (of_bits (bits_of_mem_bytes bytes))).
-(*val read_tag : forall rv a e. Bitvector a => a -> monad rv bitU e*)
-Definition read_tag {rv a e} `{Bitvector a} (addr : a) : monad rv bitU e :=
- Read_tag (bits_of addr) returnm.
-
(*val excl_result : forall rv e. unit -> monad rv bool e*)
Definition excl_result {rv e} (_:unit) : monad rv bool e :=
let k successful := (returnm successful) in
Excl_res k.
-Definition write_mem_ea {rv a E} `{Bitvector a} wk (addr: a) sz : monad rv unit E :=
- Write_ea wk (bits_of addr) (Z.to_nat sz) (Done tt).
-
-Definition write_mem_val {rv a e} `{Bitvector a} (v : a) : monad rv bool e := match mem_bytes_of_bits v with
- | Some v => Write_memv v returnm
- | None => Fail "write_mem_val"
-end.
-
-(*val write_tag : forall rv a e. Bitvector 'a => 'a -> bitU -> monad rv bool e*)
-Definition write_tag {rv a e} (addr : mword a) (b : bitU) : monad rv bool e := Write_tag (bits_of addr) b returnm.
+Definition write_mem_ea {rv a E} wk (addrsz : Z) (addr: mword a) sz : monad rv unit E :=
+ Write_ea wk (Word.wordToNat (get_word addr)) (Z.to_nat sz) (Done tt).
+
+(*val write_mem : forall 'rv 'a 'b 'e. Bitvector 'a, Bitvector 'b =>
+ write_kind -> integer -> 'a -> integer -> 'b -> monad 'rv bool 'e*)
+Definition write_mem {rv a b E} wk (addrsz : Z) (addr : mword a) sz (v : mword b) : monad rv bool E :=
+ match (mem_bytes_of_bits v, Word.wordToNat (get_word addr)) with
+ | (Some v, addr) =>
+ Write_mem wk addr (Z.to_nat sz) v returnm
+ | _ => Fail "write_mem"
+ end.
+
+(*val write_memt : forall 'rv 'a 'b 'e. Bitvector 'a, Bitvector 'b =>
+ write_kind -> 'a -> integer -> 'b -> bitU -> monad 'rv bool 'e*)
+Definition write_memt {rv a b E} wk (addr : mword a) sz (v : mword b) tag : monad rv bool E :=
+ match (mem_bytes_of_bits v, Word.wordToNat (get_word addr)) with
+ | (Some v, addr) =>
+ Write_memt wk addr (Z.to_nat sz) v tag returnm
+ | _ => Fail "write_mem"
+ end.
Definition read_reg {s rv a e} (reg : register_ref s rv a) : monad rv a e :=
let k v :=
match reg.(of_regval) v with
| Some v => Done v
- | None => Error "read_reg: unrecognised value"
+ | None => Fail "read_reg: unrecognised value"
end
in
Read_reg reg.(name) k.
(* TODO
-val read_reg_range : forall s r rv a e. Bitvector a => register_ref s rv r -> integer -> integer -> monad rv a e
-Definition read_reg_range reg i j :=
- read_reg_aux of_bits (external_reg_slice reg (natFromInteger i,natFromInteger j))
+val read_reg_range : forall 's 'r 'rv 'a 'e. Bitvector 'a => register_ref 's 'rv 'r -> integer -> integer -> monad 'rv 'a 'e
+let read_reg_range reg i j =
+ read_reg_aux of_bits (external_reg_slice reg (nat_of_int i,nat_of_int j))
-Definition read_reg_bit reg i :=
- read_reg_aux (fun v -> v) (external_reg_slice reg (natFromInteger i,natFromInteger i)) >>= fun v ->
- returnm (extract_only_element v)
+let read_reg_bit reg i =
+ read_reg_aux (fun v -> v) (external_reg_slice reg (nat_of_int i,nat_of_int i)) >>= fun v ->
+ return (extract_only_element v)
-Definition read_reg_field reg regfield :=
+let read_reg_field reg regfield =
read_reg_aux (external_reg_field_whole reg regfield)
-Definition read_reg_bitfield reg regfield :=
+let read_reg_bitfield reg regfield =
read_reg_aux (external_reg_field_whole reg regfield) >>= fun v ->
- returnm (extract_only_element v)*)
+ return (extract_only_element v)*)
Definition reg_deref {s rv a e} := @read_reg s rv a e.
@@ -221,27 +265,101 @@ Definition write_reg {s rv a e} (reg : register_ref s rv a) (v : a) : monad rv u
Write_reg reg.(name) (reg.(regval_of) v) (Done tt).
(* TODO
-Definition write_reg reg v :=
+let write_reg reg v =
write_reg_aux (external_reg_whole reg) v
-Definition write_reg_range reg i j v :=
- write_reg_aux (external_reg_slice reg (natFromInteger i,natFromInteger j)) v
-Definition write_reg_pos reg i v :=
- let iN := natFromInteger i in
+let write_reg_range reg i j v =
+ write_reg_aux (external_reg_slice reg (nat_of_int i,nat_of_int j)) v
+let write_reg_pos reg i v =
+ let iN = nat_of_int i in
write_reg_aux (external_reg_slice reg (iN,iN)) [v]
-Definition write_reg_bit := write_reg_pos
-Definition write_reg_field reg regfield v :=
+let write_reg_bit = write_reg_pos
+let write_reg_field reg regfield v =
write_reg_aux (external_reg_field_whole reg regfield.field_name) v
-Definition write_reg_field_bit reg regfield bit :=
+let write_reg_field_bit reg regfield bit =
write_reg_aux (external_reg_field_whole reg regfield.field_name)
(Vector [bit] 0 (is_inc_of_reg reg))
-Definition write_reg_field_range reg regfield i j v :=
- write_reg_aux (external_reg_field_slice reg regfield.field_name (natFromInteger i,natFromInteger j)) v
-Definition write_reg_field_pos reg regfield i v :=
+let write_reg_field_range reg regfield i j v =
+ write_reg_aux (external_reg_field_slice reg regfield.field_name (nat_of_int i,nat_of_int j)) v
+let write_reg_field_pos reg regfield i v =
write_reg_field_range reg regfield i i [v]
-Definition write_reg_field_bit := write_reg_field_pos*)
+let write_reg_field_bit = write_reg_field_pos*)
(*val barrier : forall rv e. barrier_kind -> monad rv unit e*)
Definition barrier {rv e} bk : monad rv unit e := Barrier bk (Done tt).
(*val footprint : forall rv e. unit -> monad rv unit e*)
Definition footprint {rv e} (_ : unit) : monad rv unit e := Footprint (Done tt).
+
+(* Event traces *)
+
+Local Open Scope bool_scope.
+
+(*val emitEvent : forall 'regval 'a 'e. Eq 'regval => monad 'regval 'a 'e -> event 'regval -> maybe (monad 'regval 'a 'e)*)
+Definition emitEvent {Regval A E} `{forall (x y : Regval), Decidable (x = y)} (m : monad Regval A E) (e : event Regval) : option (monad Regval A E) :=
+ match (e, m) with
+ | (E_read_mem rk a sz v, Read_mem rk' a' sz' k) =>
+ if read_kind_beq rk' rk && Nat.eqb a' a && Nat.eqb sz' sz then Some (k v) else None
+ | (E_read_memt rk a sz vt, Read_memt rk' a' sz' k) =>
+ if read_kind_beq rk' rk && Nat.eqb a' a && Nat.eqb sz' sz then Some (k vt) else None
+ | (E_write_mem wk a sz v r, Write_mem wk' a' sz' v' k) =>
+ if write_kind_beq wk' wk && Nat.eqb a' a && Nat.eqb sz' sz && generic_eq v' v then Some (k r) else None
+ | (E_write_memt wk a sz v tag r, Write_memt wk' a' sz' v' tag' k) =>
+ if write_kind_beq wk' wk && Nat.eqb a' a && Nat.eqb sz' sz && generic_eq v' v && generic_eq tag' tag then Some (k r) else None
+ | (E_read_reg r v, Read_reg r' k) =>
+ if generic_eq r' r then Some (k v) else None
+ | (E_write_reg r v, Write_reg r' v' k) =>
+ if generic_eq r' r && generic_eq v' v then Some k else None
+ | (E_write_ea wk a sz, Write_ea wk' a' sz' k) =>
+ if write_kind_beq wk' wk && Nat.eqb a' a && Nat.eqb sz' sz then Some k else None
+ | (E_barrier bk, Barrier bk' k) =>
+ if barrier_kind_beq bk' bk then Some k else None
+ | (E_print m, Print m' k) =>
+ if generic_eq m' m then Some k else None
+ | (E_excl_res v, Excl_res k) => Some (k v)
+ | (E_choose descr v, Choose descr' k) => if generic_eq descr' descr then Some (k v) else None
+ | (E_footprint, Footprint k) => Some k
+ | _ => None
+end.
+
+Definition option_bind {A B : Type} (a : option A) (f : A -> option B) : option B :=
+match a with
+| Some x => f x
+| None => None
+end.
+
+(*val runTrace : forall 'regval 'a 'e. Eq 'regval => trace 'regval -> monad 'regval 'a 'e -> maybe (monad 'regval 'a 'e)*)
+Fixpoint runTrace {Regval A E} `{forall (x y : Regval), Decidable (x = y)} (t : trace Regval) (m : monad Regval A E) : option (monad Regval A E) :=
+match t with
+ | [] => Some m
+ | e :: t' => option_bind (emitEvent m e) (runTrace t')
+end.
+
+(*val final : forall 'regval 'a 'e. monad 'regval 'a 'e -> bool*)
+Definition final {Regval A E} (m : monad Regval A E) : bool :=
+match m with
+ | Done _ => true
+ | Fail _ => true
+ | Exception _ => true
+ | _ => false
+end.
+
+(*val hasTrace : forall 'regval 'a 'e. Eq 'regval => trace 'regval -> monad 'regval 'a 'e -> bool*)
+Definition hasTrace {Regval A E} `{forall (x y : Regval), Decidable (x = y)} (t : trace Regval) (m : monad Regval A E) : bool :=
+match runTrace t m with
+ | Some m => final m
+ | None => false
+end.
+
+(*val hasException : forall 'regval 'a 'e. Eq 'regval => trace 'regval -> monad 'regval 'a 'e -> bool*)
+Definition hasException {Regval A E} `{forall (x y : Regval), Decidable (x = y)} (t : trace Regval) (m : monad Regval A E) :=
+match runTrace t m with
+ | Some (Exception _) => true
+ | _ => false
+end.
+
+(*val hasFailure : forall 'regval 'a 'e. Eq 'regval => trace 'regval -> monad 'regval 'a 'e -> bool*)
+Definition hasFailure {Regval A E} `{forall (x y : Regval), Decidable (x = y)} (t : trace Regval) (m : monad Regval A E) :=
+match runTrace t m with
+ | Some (Fail _) => true
+ | _ => false
+end.
diff --git a/lib/coq/Sail2_state.v b/lib/coq/Sail2_state.v
index 1d5cb342..b73d5013 100644
--- a/lib/coq/Sail2_state.v
+++ b/lib/coq/Sail2_state.v
@@ -3,53 +3,82 @@ Require Import Sail2_values.
Require Import Sail2_prompt_monad.
Require Import Sail2_prompt.
Require Import Sail2_state_monad.
-(*
-(* State monad wrapper around prompt monad *)
-
-val liftState : forall 'regval 'regs 'a 'e. register_accessors 'regs 'regval -> monad 'regval 'a 'e -> monadS 'regs 'a 'e
-let rec liftState ra s = match s with
- | (Done a) -> returnS a
- | (Read_mem rk a sz k) -> bindS (read_mem_bytesS rk a sz) (fun v -> liftState ra (k v))
- | (Read_tag t k) -> bindS (read_tagS t) (fun v -> liftState ra (k v))
- | (Write_memv a k) -> bindS (write_mem_bytesS a) (fun v -> liftState ra (k v))
- | (Write_tagv t k) -> bindS (write_tagS t) (fun v -> liftState ra (k v))
- | (Read_reg r k) -> bindS (read_regvalS ra r) (fun v -> liftState ra (k v))
- | (Excl_res k) -> bindS (excl_resultS ()) (fun v -> liftState ra (k v))
- | (Undefined k) -> bindS (undefined_boolS ()) (fun v -> liftState ra (k v))
- | (Write_ea wk a sz k) -> seqS (write_mem_eaS wk a sz) (liftState ra k)
- | (Write_reg r v k) -> seqS (write_regvalS ra r v) (liftState ra k)
- | (Footprint k) -> liftState ra k
- | (Barrier _ k) -> liftState ra k
- | (Fail descr) -> failS descr
- | (Error descr) -> failS descr
- | (Exception e) -> throwS e
-end
-
-
-val iterS_aux : forall 'rv 'a 'e. integer -> (integer -> 'a -> monadS 'rv unit 'e) -> list 'a -> monadS 'rv unit 'e
-let rec iterS_aux i f xs = match xs with
- | x :: xs -> f i x >>$ iterS_aux (i + 1) f xs
- | [] -> returnS ()
- end
+Import ListNotations.
-declare {isabelle} termination_argument iterS_aux = automatic
+(*val iterS_aux : forall 'rv 'a 'e. integer -> (integer -> 'a -> monadS 'rv unit 'e) -> list 'a -> monadS 'rv unit 'e*)
+Fixpoint iterS_aux {RV A E} i (f : Z -> A -> monadS RV unit E) (xs : list A) :=
+ match xs with
+ | x :: xs => f i x >>$ iterS_aux (i + 1) f xs
+ | [] => returnS tt
+ end.
-val iteriS : forall 'rv 'a 'e. (integer -> 'a -> monadS 'rv unit 'e) -> list 'a -> monadS 'rv unit 'e
-let iteriS f xs = iterS_aux 0 f xs
+(*val iteriS : forall 'rv 'a 'e. (integer -> 'a -> monadS 'rv unit 'e) -> list 'a -> monadS 'rv unit 'e*)
+Definition iteriS {RV A E} (f : Z -> A -> monadS RV unit E) (xs : list A) : monadS RV unit E :=
+ iterS_aux 0 f xs.
-val iterS : forall 'rv 'a 'e. ('a -> monadS 'rv unit 'e) -> list 'a -> monadS 'rv unit 'e
-let iterS f xs = iteriS (fun _ x -> f x) xs
+(*val iterS : forall 'rv 'a 'e. ('a -> monadS 'rv unit 'e) -> list 'a -> monadS 'rv unit 'e*)
+Definition iterS {RV A E} (f : A -> monadS RV unit E) (xs : list A) : monadS RV unit E :=
+ iteriS (fun _ x => f x) xs.
-val foreachS : forall 'a 'rv 'vars 'e.
- list 'a -> 'vars -> ('a -> 'vars -> monadS 'rv 'vars 'e) -> monadS 'rv 'vars 'e
-let rec foreachS xs vars body = match xs with
- | [] -> returnS vars
- | x :: xs ->
- body x vars >>$= fun vars ->
+(*val foreachS : forall 'a 'rv 'vars 'e.
+ list 'a -> 'vars -> ('a -> 'vars -> monadS 'rv 'vars 'e) -> monadS 'rv 'vars 'e*)
+Fixpoint foreachS {A RV Vars E} (xs : list A) (vars : Vars) (body : A -> Vars -> monadS RV Vars E) : monadS RV Vars E :=
+ match xs with
+ | [] => returnS vars
+ | x :: xs =>
+ body x vars >>$= fun vars =>
foreachS xs vars body
-end
+end.
+
+(*val genlistS : forall 'a 'rv 'e. (nat -> monadS 'rv 'a 'e) -> nat -> monadS 'rv (list 'a) 'e*)
+Definition genlistS {A RV E} (f : nat -> monadS RV A E) n : monadS RV (list A) E :=
+ let indices := genlist (fun n => n) n in
+ foreachS indices [] (fun n xs => (f n >>$= (fun x => returnS (xs ++ [x])))).
+
+(*val and_boolS : forall 'rv 'e. monadS 'rv bool 'e -> monadS 'rv bool 'e -> monadS 'rv bool 'e*)
+Definition and_boolS {RV E} (l r : monadS RV bool E) : monadS RV bool E :=
+ l >>$= (fun l => if l then r else returnS false).
+
+(*val or_boolS : forall 'rv 'e. monadS 'rv bool 'e -> monadS 'rv bool 'e -> monadS 'rv bool 'e*)
+Definition or_boolS {RV E} (l r : monadS RV bool E) : monadS RV bool E :=
+ l >>$= (fun l => if l then returnS true else r).
+
+(*val bool_of_bitU_fail : forall 'rv 'e. bitU -> monadS 'rv bool 'e*)
+Definition bool_of_bitU_fail {RV E} (b : bitU) : monadS RV bool E :=
+match b with
+ | B0 => returnS false
+ | B1 => returnS true
+ | BU => failS "bool_of_bitU"
+end.
+
+(*val bool_of_bitU_nondetS : forall 'rv 'e. bitU -> monadS 'rv bool 'e*)
+Definition bool_of_bitU_nondetS {RV E} (b : bitU) : monadS RV bool E :=
+match b with
+ | B0 => returnS false
+ | B1 => returnS true
+ | BU => undefined_boolS tt
+end.
+
+(*val bools_of_bits_nondetS : forall 'rv 'e. list bitU -> monadS 'rv (list bool) 'e*)
+Definition bools_of_bits_nondetS {RV E} bits : monadS RV (list bool) E :=
+ foreachS bits []
+ (fun b bools =>
+ bool_of_bitU_nondetS b >>$= (fun b =>
+ returnS (bools ++ [b]))).
-declare {isabelle} termination_argument foreachS = automatic
+(*val of_bits_nondetS : forall 'rv 'a 'e. Bitvector 'a => list bitU -> monadS 'rv 'a 'e*)
+Definition of_bits_nondetS {RV A E} bits `{ArithFact (A >= 0)} : monadS RV (mword A) E :=
+ bools_of_bits_nondetS bits >>$= (fun bs =>
+ returnS (of_bools bs)).
+
+(*val of_bits_failS : forall 'rv 'a 'e. Bitvector 'a => list bitU -> monadS 'rv 'a 'e*)
+Definition of_bits_failS {RV A E} bits `{ArithFact (A >= 0)} : monadS RV (mword A) E :=
+ maybe_failS "of_bits" (of_bits bits).
+
+(*val mword_nondetS : forall 'rv 'a 'e. Size 'a => unit -> monadS 'rv (mword 'a) 'e
+let mword_nondetS () =
+ bools_of_bits_nondetS (repeat [BU] (integerFromNat size)) >>$= (fun bs ->
+ returnS (wordFromBitlist bs))
val whileS : forall 'rv 'vars 'e. 'vars -> ('vars -> monadS 'rv bool 'e) ->
@@ -67,3 +96,21 @@ let rec untilS vars cond body s =
(cond vars >>$= (fun cond_val s'' ->
if cond_val then returnS vars s'' else untilS vars cond body s'')) s')) s
*)
+(*val choose_boolsS : forall 'rv 'e. nat -> monadS 'rv (list bool) 'e*)
+Definition choose_boolsS {RV E} n : monadS RV (list bool) E :=
+ genlistS (fun _ => choose_boolS tt) n.
+
+(* TODO: Replace by chooseS and prove equivalence to prompt monad version *)
+(*val internal_pickS : forall 'rv 'a 'e. list 'a -> monadS 'rv 'a 'e
+let internal_pickS xs =
+ (* Use sufficiently many nondeterministically chosen bits and convert into an
+ index into the list *)
+ choose_boolsS (List.length xs) >>$= fun bs ->
+ let idx = (natFromNatural (nat_of_bools bs)) mod List.length xs in
+ match index xs idx with
+ | Just x -> returnS x
+ | Nothing -> failS "choose internal_pick"
+ end
+
+
+*)
diff --git a/lib/coq/Sail2_state_lifting.v b/lib/coq/Sail2_state_lifting.v
new file mode 100644
index 00000000..633c0ef7
--- /dev/null
+++ b/lib/coq/Sail2_state_lifting.v
@@ -0,0 +1,61 @@
+Require Import Sail2_values.
+Require Import Sail2_prompt_monad.
+Require Import Sail2_prompt.
+Require Import Sail2_state_monad.
+Import ListNotations.
+
+(* Lifting from prompt monad to state monad *)
+(*val liftState : forall 'regval 'regs 'a 'e. register_accessors 'regs 'regval -> monad 'regval 'a 'e -> monadS 'regs 'a 'e*)
+Fixpoint liftState {Regval Regs A E} (ra : register_accessors Regs Regval) (m : monad Regval A E) : monadS Regs A E :=
+ match m with
+ | (Done a) => returnS a
+ | (Read_mem rk a sz k) => bindS (read_mem_bytesS rk a sz) (fun v => liftState ra (k v))
+ | (Read_memt rk a sz k) => bindS (read_memt_bytesS rk a sz) (fun v => liftState ra (k v))
+ | (Write_mem wk a sz v k) => bindS (write_mem_bytesS wk a sz v) (fun v => liftState ra (k v))
+ | (Write_memt wk a sz v t k) => bindS (write_memt_bytesS wk a sz v t) (fun v => liftState ra (k v))
+ | (Read_reg r k) => bindS (read_regvalS ra r) (fun v => liftState ra (k v))
+ | (Excl_res k) => bindS (excl_resultS tt) (fun v => liftState ra (k v))
+ | (Choose _ k) => bindS (choose_boolS tt) (fun v => liftState ra (k v))
+ | (Write_reg r v k) => seqS (write_regvalS ra r v) (liftState ra k)
+ | (Write_ea _ _ _ k) => liftState ra k
+ | (Footprint k) => liftState ra k
+ | (Barrier _ k) => liftState ra k
+ | (Print _ k) => liftState ra k (* TODO *)
+ | (Fail descr) => failS descr
+ | (Exception e) => throwS e
+end.
+
+Local Open Scope bool_scope.
+
+(*val emitEventS : forall 'regval 'regs 'a 'e. Eq 'regval => register_accessors 'regs 'regval -> event 'regval -> sequential_state 'regs -> maybe (sequential_state 'regs)*)
+Definition emitEventS {Regval Regs} `{forall (x y : Regval), Decidable (x = y)} (ra : register_accessors Regs Regval) (e : event Regval) (s : sequential_state Regs) : option (sequential_state Regs) :=
+match e with
+ | E_read_mem _ addr sz v =>
+ option_bind (get_mem_bytes addr sz s) (fun '(v', _) =>
+ if generic_eq v' v then Some s else None)
+ | E_read_memt _ addr sz (v, tag) =>
+ option_bind (get_mem_bytes addr sz s) (fun '(v', tag') =>
+ if generic_eq v' v && generic_eq tag' tag then Some s else None)
+ | E_write_mem _ addr sz v success =>
+ if success then Some (put_mem_bytes addr sz v B0 s) else None
+ | E_write_memt _ addr sz v tag success =>
+ if success then Some (put_mem_bytes addr sz v tag s) else None
+ | E_read_reg r v =>
+ let (read_reg, _) := ra in
+ option_bind (read_reg r s.(regstate)) (fun v' =>
+ if generic_eq v' v then Some s else None)
+ | E_write_reg r v =>
+ let (_, write_reg) := ra in
+ option_bind (write_reg r v s.(regstate)) (fun rs' =>
+ Some {| regstate := rs'; memstate := s.(memstate); tagstate := s.(tagstate) |})
+ | _ => Some s
+end.
+
+Local Close Scope bool_scope.
+
+(*val runTraceS : forall 'regval 'regs 'a 'e. Eq 'regval => register_accessors 'regs 'regval -> trace 'regval -> sequential_state 'regs -> maybe (sequential_state 'regs)*)
+Fixpoint runTraceS {Regval Regs} `{forall (x y : Regval), Decidable (x = y)} (ra : register_accessors Regs Regval) (t : trace Regval) (s : sequential_state Regs) : option (sequential_state Regs) :=
+match t with
+ | [] => Some s
+ | e :: t' => option_bind (emitEventS ra e s) (runTraceS ra t')
+end.
diff --git a/lib/coq/Sail2_state_monad.v b/lib/coq/Sail2_state_monad.v
index c48db31b..235e4b9e 100644
--- a/lib/coq/Sail2_state_monad.v
+++ b/lib/coq/Sail2_state_monad.v
@@ -1,184 +1,237 @@
Require Import Sail2_instr_kinds.
Require Import Sail2_values.
-(*
-(* 'a is result type *)
-
-type memstate = map integer memory_byte
-type tagstate = map integer bitU
+Require FMapList.
+Require Import OrderedType.
+Require OrderedTypeEx.
+Require Import List.
+Require bbv.Word.
+Import ListNotations.
+
+(* TODO: revisit choice of FMapList *)
+Module NatMap := FMapList.Make(OrderedTypeEx.Nat_as_OT).
+
+Definition Memstate : Type := NatMap.t memory_byte.
+Definition Tagstate : Type := NatMap.t bitU.
(* type regstate = map string (vector bitU) *)
-type sequential_state 'regs =
- <| regstate : 'regs;
- memstate : memstate;
- tagstate : tagstate;
- write_ea : maybe (write_kind * integer * integer);
- last_exclusive_operation_was_load : bool|>
-
-val init_state : forall 'regs. 'regs -> sequential_state 'regs
-let init_state regs =
- <| regstate = regs;
- memstate = Map.empty;
- tagstate = Map.empty;
- write_ea = Nothing;
- last_exclusive_operation_was_load = false |>
-
-type ex 'e =
- | Failure of string
- | Throw of 'e
-
-type result 'a 'e =
- | Value of 'a
- | Ex of (ex 'e)
+Record sequential_state {Regs} :=
+ { regstate : Regs;
+ memstate : Memstate;
+ tagstate : Tagstate }.
+Arguments sequential_state : clear implicits.
+
+(*val init_state : forall 'regs. 'regs -> sequential_state 'regs*)
+Definition init_state {Regs} regs : sequential_state Regs :=
+ {| regstate := regs;
+ memstate := NatMap.empty _;
+ tagstate := NatMap.empty _ |}.
+
+Inductive ex E :=
+ | Failure : string -> ex E
+ | Throw : E -> ex E.
+Arguments Failure {E} _.
+Arguments Throw {E} _.
+
+Inductive result A E :=
+ | Value : A -> result A E
+ | Ex : ex E -> result A E.
+Arguments Value {A} {E} _.
+Arguments Ex {A} {E} _.
(* State, nondeterminism and exception monad with result value type 'a
and exception type 'e. *)
-type monadS 'regs 'a 'e = sequential_state 'regs -> list (result 'a 'e * sequential_state 'regs)
-
-val returnS : forall 'regs 'a 'e. 'a -> monadS 'regs 'a 'e
-let returnS a s = [(Value a,s)]
-
-val bindS : forall 'regs 'a 'b 'e. monadS 'regs 'a 'e -> ('a -> monadS 'regs 'b 'e) -> monadS 'regs 'b 'e
-let bindS m f (s : sequential_state 'regs) =
- List.concatMap (function
- | (Value a, s') -> f a s'
- | (Ex e, s') -> [(Ex e, s')]
- end) (m s)
-
-val seqS: forall 'regs 'b 'e. monadS 'regs unit 'e -> monadS 'regs 'b 'e -> monadS 'regs 'b 'e
-let seqS m n = bindS m (fun (_ : unit) -> n)
-
+(* TODO: the list was originally a set, can we reasonably go back to a set? *)
+Definition monadS Regs a e : Type :=
+ sequential_state Regs -> list (result a e * sequential_state Regs).
+
+(*val returnS : forall 'regs 'a 'e. 'a -> monadS 'regs 'a 'e*)
+Definition returnS {Regs A E} (a:A) : monadS Regs A E := fun s => [(Value a,s)].
+
+(*val bindS : forall 'regs 'a 'b 'e. monadS 'regs 'a 'e -> ('a -> monadS 'regs 'b 'e) -> monadS 'regs 'b 'e*)
+Definition bindS {Regs A B E} (m : monadS Regs A E) (f : A -> monadS Regs B E) : monadS Regs B E :=
+ fun (s : sequential_state Regs) =>
+ List.concat (List.map (fun v => match v with
+ | (Value a, s') => f a s'
+ | (Ex e, s') => [(Ex e, s')]
+ end) (m s)).
+
+(*val seqS: forall 'regs 'b 'e. monadS 'regs unit 'e -> monadS 'regs 'b 'e -> monadS 'regs 'b 'e*)
+Definition seqS {Regs B E} (m : monadS Regs unit E) (n : monadS Regs B E) : monadS Regs B E :=
+ bindS m (fun (_ : unit) => n).
+(*
let inline (>>$=) = bindS
let inline (>>$) = seqS
-
-val chooseS : forall 'regs 'a 'e. list 'a -> monadS 'regs 'a 'e
-let chooseS xs s = List.map (fun x -> (Value x, s)) xs
-
-val readS : forall 'regs 'a 'e. (sequential_state 'regs -> 'a) -> monadS 'regs 'a 'e
-let readS f = (fun s -> returnS (f s) s)
-
-val updateS : forall 'regs 'e. (sequential_state 'regs -> sequential_state 'regs) -> monadS 'regs unit 'e
-let updateS f = (fun s -> returnS () (f s))
-
-val failS : forall 'regs 'a 'e. string -> monadS 'regs 'a 'e
-let failS msg s = [(Ex (Failure msg), s)]
-
-val exitS : forall 'regs 'e 'a. unit -> monadS 'regs 'a 'e
-let exitS () = failS "exit"
-
-val throwS : forall 'regs 'a 'e. 'e -> monadS 'regs 'a 'e
-let throwS e s = [(Ex (Throw e), s)]
-
-val try_catchS : forall 'regs 'a 'e1 'e2. monadS 'regs 'a 'e1 -> ('e1 -> monadS 'regs 'a 'e2) -> monadS 'regs 'a 'e2
-let try_catchS m h s =
- List.concatMap (function
- | (Value a, s') -> returnS a s'
- | (Ex (Throw e), s') -> h e s'
- | (Ex (Failure msg), s') -> [(Ex (Failure msg), s')]
- end) (m s)
-
-val assert_expS : forall 'regs 'e. bool -> string -> monadS 'regs unit 'e
-let assert_expS exp msg = if exp then returnS () else failS msg
+*)
+Notation "m >>$= f" := (bindS m f) (at level 50, left associativity).
+Notation "m >>$ n" := (seqS m n) (at level 50, left associativity).
+
+(*val chooseS : forall 'regs 'a 'e. SetType 'a => list 'a -> monadS 'regs 'a 'e*)
+Definition chooseS {Regs A E} (xs : list A) : monadS Regs A E :=
+ fun s => (List.map (fun x => (Value x, s)) xs).
+
+(*val readS : forall 'regs 'a 'e. (sequential_state 'regs -> 'a) -> monadS 'regs 'a 'e*)
+Definition readS {Regs A E} (f : sequential_state Regs -> A) : monadS Regs A E :=
+ (fun s => returnS (f s) s).
+
+(*val updateS : forall 'regs 'e. (sequential_state 'regs -> sequential_state 'regs) -> monadS 'regs unit 'e*)
+Definition updateS {Regs E} (f : sequential_state Regs -> sequential_state Regs) : monadS Regs unit E :=
+ (fun s => returnS tt (f s)).
+
+(*val failS : forall 'regs 'a 'e. string -> monadS 'regs 'a 'e*)
+Definition failS {Regs A E} msg : monadS Regs A E :=
+ fun s => [(Ex (Failure msg), s)].
+
+(*val choose_boolS : forall 'regval 'regs 'a 'e. unit -> monadS 'regs bool 'e*)
+Definition choose_boolS {Regs E} (_:unit) : monadS Regs bool E :=
+ chooseS [false; true].
+Definition undefined_boolS {Regs E} := @choose_boolS Regs E.
+
+(*val exitS : forall 'regs 'e 'a. unit -> monadS 'regs 'a 'e*)
+Definition exitS {Regs A E} (_:unit) : monadS Regs A E := failS "exit".
+
+(*val throwS : forall 'regs 'a 'e. 'e -> monadS 'regs 'a 'e*)
+Definition throwS {Regs A E} (e : E) :monadS Regs A E :=
+ fun s => [(Ex (Throw e), s)].
+
+(*val try_catchS : forall 'regs 'a 'e1 'e2. monadS 'regs 'a 'e1 -> ('e1 -> monadS 'regs 'a 'e2) -> monadS 'regs 'a 'e2*)
+Definition try_catchS {Regs A E1 E2} (m : monadS Regs A E1) (h : E1 -> monadS Regs A E2) : monadS Regs A E2 :=
+fun s =>
+ List.concat (List.map (fun v => match v with
+ | (Value a, s') => returnS a s'
+ | (Ex (Throw e), s') => h e s'
+ | (Ex (Failure msg), s') => [(Ex (Failure msg), s')]
+ end) (m s)).
+
+(*val assert_expS : forall 'regs 'e. bool -> string -> monadS 'regs unit 'e*)
+Definition assert_expS {Regs E} (exp : bool) (msg : string) : monadS Regs unit E :=
+ if exp then returnS tt else failS msg.
(* For early return, we abuse exceptions by throwing and catching
the return value. The exception type is "either 'r 'e", where "Right e"
represents a proper exception and "Left r" an early return of value "r". *)
-type monadSR 'regs 'a 'r 'e = monadS 'regs 'a (either 'r 'e)
+Definition monadRS Regs A R E := monadS Regs A (sum R E).
-val early_returnS : forall 'regs 'a 'r 'e. 'r -> monadSR 'regs 'a 'r 'e
-let early_returnS r = throwS (Left r)
+(*val early_returnS : forall 'regs 'a 'r 'e. 'r -> monadRS 'regs 'a 'r 'e*)
+Definition early_returnS {Regs A R E} (r : R) : monadRS Regs A R E := throwS (inl r).
-val catch_early_returnS : forall 'regs 'a 'e. monadSR 'regs 'a 'a 'e -> monadS 'regs 'a 'e
-let catch_early_returnS m =
+(*val catch_early_returnS : forall 'regs 'a 'e. monadRS 'regs 'a 'a 'e -> monadS 'regs 'a 'e*)
+Definition catch_early_returnS {Regs A E} (m : monadRS Regs A A E) : monadS Regs A E :=
try_catchS m
- (function
- | Left a -> returnS a
- | Right e -> throwS e
- end)
+ (fun v => match v with
+ | inl a => returnS a
+ | inr e => throwS e
+ end).
(* Lift to monad with early return by wrapping exceptions *)
-val liftSR : forall 'a 'r 'regs 'e. monadS 'regs 'a 'e -> monadSR 'regs 'a 'r 'e
-let liftSR m = try_catchS m (fun e -> throwS (Right e))
+(*val liftRS : forall 'a 'r 'regs 'e. monadS 'regs 'a 'e -> monadRS 'regs 'a 'r 'e*)
+Definition liftRS {A R Regs E} (m : monadS Regs A E) : monadRS Regs A R E :=
+ try_catchS m (fun e => throwS (inr e)).
(* Catch exceptions in the presence of early returns *)
-val try_catchSR : forall 'regs 'a 'r 'e1 'e2. monadSR 'regs 'a 'r 'e1 -> ('e1 -> monadSR 'regs 'a 'r 'e2) -> monadSR 'regs 'a 'r 'e2
-let try_catchSR m h =
+(*val try_catchRS : forall 'regs 'a 'r 'e1 'e2. monadRS 'regs 'a 'r 'e1 -> ('e1 -> monadRS 'regs 'a 'r 'e2) -> monadRS 'regs 'a 'r 'e2*)
+Definition try_catchRS {Regs A R E1 E2} (m : monadRS Regs A R E1) (h : E1 -> monadRS Regs A R E2) : monadRS Regs A R E2 :=
try_catchS m
- (function
- | Left r -> throwS (Left r)
- | Right e -> h e
- end)
+ (fun v => match v with
+ | inl r => throwS (inl r)
+ | inr e => h e
+ end).
+
+(*val maybe_failS : forall 'regs 'a 'e. string -> maybe 'a -> monadS 'regs 'a 'e*)
+Definition maybe_failS {Regs A E} msg (v : option A) : monadS Regs A E :=
+match v with
+ | Some a => returnS a
+ | None => failS msg
+end.
+
+(*val read_tagS : forall 'regs 'a 'e. Bitvector 'a => 'a -> monadS 'regs bitU 'e*)
+Definition read_tagS {Regs A E} (addr : mword A) : monadS Regs bitU E :=
+ let addr := Word.wordToNat (get_word addr) in
+ readS (fun s => opt_def B0 (NatMap.find addr s.(tagstate))).
+
+Fixpoint genlist_acc {A:Type} (f : nat -> A) n acc : list A :=
+ match n with
+ | O => acc
+ | S n' => genlist_acc f n' (f n' :: acc)
+ end.
+Definition genlist {A} f n := @genlist_acc A f n [].
-val read_tagS : forall 'regs 'a 'e. Bitvector 'a => 'a -> monadS 'regs bitU 'e
-let read_tagS addr =
- readS (fun s -> fromMaybe B0 (Map.lookup (unsigned addr) s.tagstate))
(* Read bytes from memory and return in little endian order *)
-val read_mem_bytesS : forall 'regs 'e 'a. Bitvector 'a => read_kind -> 'a -> nat -> monadS 'regs (list memory_byte) 'e
-let read_mem_bytesS read_kind addr sz =
- let addr = unsigned addr in
- let sz = integerFromNat sz in
- let addrs = index_list addr (addr+sz-1) 1 in
- let read_byte s addr = Map.lookup addr s.memstate in
- readS (fun s -> just_list (List.map (read_byte s) addrs)) >>$= (function
- | Just mem_val ->
- updateS (fun s ->
- if read_is_exclusive read_kind
- then <| s with last_exclusive_operation_was_load = true |>
- else s) >>$
- returnS mem_val
- | Nothing -> failS "read_memS"
- end)
-
-val read_memS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monadS 'regs 'b 'e
-let read_memS rk a sz =
- read_mem_bytesS rk a (natFromInteger sz) >>$= (fun bytes ->
- returnS (bits_of_mem_bytes bytes))
-
-val excl_resultS : forall 'regs 'e. unit -> monadS 'regs bool 'e
-let excl_resultS () =
- readS (fun s -> s.last_exclusive_operation_was_load) >>$= (fun excl_load ->
- updateS (fun s -> <| s with last_exclusive_operation_was_load = false |>) >>$
- chooseS (if excl_load then [false; true] else [false]))
-
-val write_mem_eaS : forall 'regs 'e 'a. Bitvector 'a => write_kind -> 'a -> nat -> monadS 'regs unit 'e
-let write_mem_eaS write_kind addr sz =
- let addr = unsigned addr in
- let sz = integerFromNat sz in
- updateS (fun s -> <| s with write_ea = Just (write_kind, addr, sz) |>)
-
-(* Write little-endian list of bytes to previously announced address *)
-val write_mem_bytesS : forall 'regs 'e. list memory_byte -> monadS 'regs bool 'e
-let write_mem_bytesS v =
- readS (fun s -> s.write_ea) >>$= (function
- | Nothing -> failS "write ea has not been announced yet"
- | Just (_, addr, sz) ->
- let addrs = index_list addr (addr+sz-1) 1 in
- (*let v = external_mem_value (bits_of v) in*)
- let a_v = List.zip addrs v in
- let write_byte mem (addr, v) = Map.insert addr v mem in
- updateS (fun s ->
- <| s with memstate = List.foldl write_byte s.memstate a_v |>) >>$
- returnS true
- end)
-
-val write_mem_valS : forall 'regs 'e 'a. Bitvector 'a => 'a -> monadS 'regs bool 'e
-let write_mem_valS v = match mem_bytes_of_bits v with
- | Just v -> write_mem_bytesS v
- | Nothing -> failS "write_mem_val"
-end
-
-val write_tagS : forall 'regs 'e. bitU -> monadS 'regs bool 'e
-let write_tagS t =
- readS (fun s -> s.write_ea) >>$= (function
- | Nothing -> failS "write ea has not been announced yet"
- | Just (_, addr, _) ->
- (*let taddr = addr / cap_alignment in*)
- updateS (fun s -> <| s with tagstate = Map.insert addr t s.tagstate |>) >>$
- returnS true
- end)
-
-val read_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> monadS 'regs 'a 'e
-let read_regS reg = readS (fun s -> reg.read_from s.regstate)
+(*val get_mem_bytes : forall 'regs. nat -> nat -> sequential_state 'regs -> maybe (list memory_byte * bitU)*)
+Definition get_mem_bytes {Regs} addr sz (s : sequential_state Regs) : option (list memory_byte * bitU) :=
+ let addrs := genlist (fun n => addr + n)%nat sz in
+ let read_byte s addr := NatMap.find addr s.(memstate) in
+ let read_tag s addr := opt_def B0 (NatMap.find addr s.(tagstate)) in
+ option_map
+ (fun mem_val => (mem_val, List.fold_left and_bit (List.map (read_tag s) addrs) B1))
+ (just_list (List.map (read_byte s) addrs)).
+
+(*val read_memt_bytesS : forall 'regs 'e. read_kind -> nat -> nat -> monadS 'regs (list memory_byte * bitU) 'e*)
+Definition read_memt_bytesS {Regs E} (_ : read_kind) addr sz : monadS Regs (list memory_byte * bitU) E :=
+ readS (get_mem_bytes addr sz) >>$=
+ maybe_failS "read_memS".
+
+(*val read_mem_bytesS : forall 'regs 'e. read_kind -> nat -> nat -> monadS 'regs (list memory_byte) 'e*)
+Definition read_mem_bytesS {Regs E} (rk : read_kind) addr sz : monadS Regs (list memory_byte) E :=
+ read_memt_bytesS rk addr sz >>$= (fun '(bytes, _) =>
+ returnS bytes).
+
+(*val read_memtS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monadS 'regs ('b * bitU) 'e*)
+Definition read_memtS {Regs E A B} (rk : read_kind) (a : mword A) sz `{ArithFact (B >= 0)} : monadS Regs (mword B * bitU) E :=
+ let a := Word.wordToNat (get_word a) in
+ read_memt_bytesS rk a (Z.to_nat sz) >>$= (fun '(bytes, tag) =>
+ maybe_failS "bits_of_mem_bytes" (of_bits (bits_of_mem_bytes bytes)) >>$= (fun mem_val =>
+ returnS (mem_val, tag))).
+
+(*val read_memS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monadS 'regs 'b 'e*)
+Definition read_memS {Regs E A B} rk (a : mword A) sz `{ArithFact (B >= 0)} : monadS Regs (mword B) E :=
+ read_memtS rk a sz >>$= (fun '(bytes, _) =>
+ returnS bytes).
+
+(*val excl_resultS : forall 'regs 'e. unit -> monadS 'regs bool 'e*)
+Definition excl_resultS {Regs E} : unit -> monadS Regs bool E :=
+ (* TODO: This used to be more deterministic, checking a flag in the state
+ whether an exclusive load has occurred before. However, this does not
+ seem very precise; it might be safer to overapproximate the possible
+ behaviours by always making a nondeterministic choice. *)
+ @undefined_boolS Regs E.
+
+(* Write little-endian list of bytes to given address *)
+(*val put_mem_bytes : forall 'regs. nat -> nat -> list memory_byte -> bitU -> sequential_state 'regs -> sequential_state 'regs*)
+Definition put_mem_bytes {Regs} addr sz (v : list memory_byte) (tag : bitU) (s : sequential_state Regs) : sequential_state Regs :=
+ let addrs := genlist (fun n => addr + n)%nat sz in
+ let a_v := List.combine addrs v in
+ let write_byte mem '(addr, v) := NatMap.add addr v mem in
+ let write_tag mem addr := NatMap.add addr tag mem in
+ {| regstate := s.(regstate);
+ memstate := List.fold_left write_byte a_v s.(memstate);
+ tagstate := List.fold_left write_tag addrs s.(tagstate) |}.
+
+(*val write_memt_bytesS : forall 'regs 'e. write_kind -> nat -> nat -> list memory_byte -> bitU -> monadS 'regs bool 'e*)
+Definition write_memt_bytesS {Regs E} (_ : write_kind) addr sz (v : list memory_byte) (t : bitU) : monadS Regs bool E :=
+ updateS (put_mem_bytes addr sz v t) >>$
+ returnS true.
+
+(*val write_mem_bytesS : forall 'regs 'e. write_kind -> nat -> nat -> list memory_byte -> monadS 'regs bool 'e*)
+Definition write_mem_bytesS {Regs E} wk addr sz (v : list memory_byte) : monadS Regs bool E :=
+ write_memt_bytesS wk addr sz v B0.
+
+(*val write_memtS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b =>
+ write_kind -> 'a -> integer -> 'b -> bitU -> monadS 'regs bool 'e*)
+Definition write_memtS {Regs E A B} wk (addr : mword A) sz (v : mword B) (t : bitU) : monadS Regs bool E :=
+ match (Word.wordToNat (get_word addr), mem_bytes_of_bits v) with
+ | (addr, Some v) => write_memt_bytesS wk addr (Z.to_nat sz) v t
+ | _ => failS "write_mem"
+ end.
+
+(*val write_memS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b =>
+ write_kind -> 'a -> integer -> 'b -> monadS 'regs bool 'e*)
+Definition write_memS {Regs E A B} wk (addr : mword A) sz (v : mword B) : monadS Regs bool E :=
+ write_memtS wk addr sz v B0.
+
+(*val read_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> monadS 'regs 'a 'e*)
+Definition read_regS {Regs RV A E} (reg : register_ref Regs RV A) : monadS Regs A E :=
+ readS (fun s => reg.(read_from) s.(regstate)).
(* TODO
let read_reg_range reg i j state =
@@ -194,25 +247,27 @@ let read_reg_bitfield reg regfield =
let (i,_) = register_field_indices reg regfield in
read_reg_bit reg i *)
-val read_regvalS : forall 'regs 'rv 'e.
- register_accessors 'regs 'rv -> string -> monadS 'regs 'rv 'e
-let read_regvalS (read, _) reg =
- readS (fun s -> read reg s.regstate) >>$= (function
- | Just v -> returnS v
- | Nothing -> failS ("read_regvalS " ^ reg)
- end)
-
-val write_regvalS : forall 'regs 'rv 'e.
- register_accessors 'regs 'rv -> string -> 'rv -> monadS 'regs unit 'e
-let write_regvalS (_, write) reg v =
- readS (fun s -> write reg v s.regstate) >>$= (function
- | Just rs' -> updateS (fun s -> <| s with regstate = rs' |>)
- | Nothing -> failS ("write_regvalS " ^ reg)
- end)
-
-val write_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> 'a -> monadS 'regs unit 'e
-let write_regS reg v =
- updateS (fun s -> <| s with regstate = reg.write_to v s.regstate |>)
+(*val read_regvalS : forall 'regs 'rv 'e.
+ register_accessors 'regs 'rv -> string -> monadS 'regs 'rv 'e*)
+Definition read_regvalS {Regs RV E} (acc : register_accessors Regs RV) reg : monadS Regs RV E :=
+ let '(read, _) := acc in
+ readS (fun s => read reg s.(regstate)) >>$= (fun v => match v with
+ | Some v => returnS v
+ | None => failS ("read_regvalS " ++ reg)
+ end).
+
+(*val write_regvalS : forall 'regs 'rv 'e.
+ register_accessors 'regs 'rv -> string -> 'rv -> monadS 'regs unit 'e*)
+Definition write_regvalS {Regs RV E} (acc : register_accessors Regs RV) reg (v : RV) : monadS Regs unit E :=
+ let '(_, write) := acc in
+ readS (fun s => write reg v s.(regstate)) >>$= (fun x => match x with
+ | Some rs' => updateS (fun s => {| regstate := rs'; memstate := s.(memstate); tagstate := s.(tagstate) |})
+ | None => failS ("write_regvalS " ++ reg)
+ end).
+
+(*val write_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> 'a -> monadS 'regs unit 'e*)
+Definition write_regS {Regs RV A E} (reg : register_ref Regs RV A) (v:A) : monadS Regs unit E :=
+ updateS (fun s => {| regstate := reg.(write_to) v s.(regstate); memstate := s.(memstate); tagstate := s.(tagstate) |}).
(* TODO
val update_reg : forall 'regs 'rv 'a 'b 'e. register_ref 'regs 'rv 'a -> ('a -> 'b -> 'a) -> 'b -> monadS 'regs unit 'e
@@ -250,4 +305,17 @@ let update_reg_field_bit regfield i reg_val bit =
let new_field_value = set_bit (regfield.field_is_inc) current_field_value i (to_bitU bit) in
regfield.set_field reg_val new_field_value
let write_reg_field_bit reg regfield i = update_reg reg (update_reg_field_bit regfield i)*)
-*)
+
+(* TODO Add Show typeclass for value and exception type *)
+(*val show_result : forall 'a 'e. result 'a 'e -> string*)
+Definition show_result {A E} (x : result A E) : string := match x with
+ | Value _ => "Value ()"
+ | Ex (Failure msg) => "Failure " ++ msg
+ | Ex (Throw _) => "Throw"
+end.
+
+(*val prerr_results : forall 'a 'e 's. SetType 's => set (result 'a 'e * 's) -> unit*)
+Definition prerr_results {A E S} (rs : list (result A E * S)) : unit := tt.
+(* let _ = Set.map (fun (r, _) -> let _ = prerr_endline (show_result r) in ()) rs in
+ ()*)
+
diff --git a/lib/coq/Sail2_values.v b/lib/coq/Sail2_values.v
index 7edc8843..8c9c40a3 100644
--- a/lib/coq/Sail2_values.v
+++ b/lib/coq/Sail2_values.v
@@ -110,6 +110,9 @@ refine ((if Decidable_witness as b return (b = true <-> x = y -> _) then fun H'
* right. intuition.
Defined.
+Instance Decidable_eq_list {A : Type} `(D : forall x y : A, Decidable (x = y)) : forall (x y : list A), Decidable (x = y) :=
+ Decidable_eq_from_dec (list_eq_dec (fun x y => generic_dec x y)).
+
(* Used by generated code that builds Decidable equality instances for records. *)
Ltac cmp_record_field x y :=
let H := fresh "H" in
@@ -457,19 +460,23 @@ Definition binop_bit op x y :=
match (x, y) with
| (BU,_) => BU (*Do we want to do this or to respect | of I and & of B0 rules?*)
| (_,BU) => BU (*Do we want to do this or to respect | of I and & of B0 rules?*)
- | (x,y) => bitU_of_bool (op (bool_of_bitU x) (bool_of_bitU y))
+(* | (x,y) => bitU_of_bool (op (bool_of_bitU x) (bool_of_bitU y))*)
+ | (B0,B0) => bitU_of_bool (op false false)
+ | (B0,B1) => bitU_of_bool (op false true)
+ | (B1,B0) => bitU_of_bool (op true false)
+ | (B1,B1) => bitU_of_bool (op true true)
end.
-(*val and_bit : bitU -> bitU -> bitU
-Definition and_bit := binop_bit (&&)
+(*val and_bit : bitU -> bitU -> bitU*)
+Definition and_bit := binop_bit andb.
-val or_bit : bitU -> bitU -> bitU
-Definition or_bit := binop_bit (||)
+(*val or_bit : bitU -> bitU -> bitU*)
+Definition or_bit := binop_bit orb.
-val xor_bit : bitU -> bitU -> bitU
-Definition xor_bit := binop_bit xor
+(*val xor_bit : bitU -> bitU -> bitU*)
+Definition xor_bit := binop_bit xorb.
-val (&.) : bitU -> bitU -> bitU
+(*val (&.) : bitU -> bitU -> bitU
Definition inline (&.) x y := and_bit x y
val (|.) : bitU -> bitU -> bitU
@@ -546,15 +553,23 @@ end.
Definition add_one_bool_ignore_overflow bits :=
List.rev (add_one_bool_ignore_overflow_aux (List.rev bits)).
-(*let bool_list_of_int n =
- let bs_abs = false :: bools_of_nat (naturalFromInteger (abs n)) in
- if n >= (0 : integer) then bs_abs
- else add_one_bool_ignore_overflow (List.map not bs_abs)
-let bools_of_int len n = exts_bools len (bool_list_of_int n)*)
+(* Ported from Lem, bad for large n.
Definition bools_of_int len n :=
let bs_abs := bools_of_nat len (Z.abs_nat n) in
if n >=? 0 then bs_abs
else add_one_bool_ignore_overflow (List.map negb bs_abs).
+*)
+Fixpoint bitlistFromWord_rev {n} w :=
+match w with
+| WO => []
+| WS b w => b :: bitlistFromWord_rev w
+end.
+Definition bitlistFromWord {n} w :=
+ List.rev (@bitlistFromWord_rev n w).
+
+Definition bools_of_int len n :=
+ let w := Word.ZToWord (Z.to_nat len) n in
+ bitlistFromWord w.
(*** Bit lists ***)
@@ -963,14 +978,6 @@ val make_the_value : forall n. Z -> itself n
Definition inline make_the_value x := the_value
*)
-Fixpoint bitlistFromWord_rev {n} w :=
-match w with
-| WO => []
-| WS b w => b :: bitlistFromWord_rev w
-end.
-Definition bitlistFromWord {n} w :=
- List.rev (@bitlistFromWord_rev n w).
-
Fixpoint wordFromBitlist_rev l : word (length l) :=
match l with
| [] => WO
@@ -1218,9 +1225,10 @@ Ltac prepare_for_solver :=
unfold_In; (* after unbool_comparisons to deal with && and || *)
reduce_list_lengths;
reduce_pow;
- (* omega doesn't cope well with extra "True"s in the goal *)
- repeat setoid_rewrite True_left;
- repeat setoid_rewrite True_right.
+ (* omega doesn't cope well with extra "True"s in the goal.
+ Check that they actually appear because setoid_rewrite can fill in evars. *)
+ repeat match goal with |- context[True /\ _] => setoid_rewrite True_left end;
+ repeat match goal with |- context[_ /\ True] => setoid_rewrite True_right end.
Lemma trivial_range {x : Z} : ArithFact (x <= x /\ x <= x).
constructor.
@@ -1285,7 +1293,7 @@ prepare_for_solver;
constructor;
repeat match goal with |- and _ _ => split end;
solve
- [ match goal with |- (?x _) => is_evar x; idtac "Warning: unknown constraint"; exact (I : (fun _ => True) _) end
+ [ match goal with |- (?x ?y) => is_evar x; idtac "Warning: unknown constraint"; exact (I : (fun _ => True) y) end
| apply ArithFact_mword; assumption
| omega with Z
(* Try sail hints before dropping the existential *)
@@ -1941,3 +1949,20 @@ Definition min_nat (x : Z) `{ArithFact (x >= 0)} (y : Z) `{ArithFact (y >= 0)} :
Definition max_nat (x : Z) `{ArithFact (x >= 0)} (y : Z) `{ArithFact (y >= 0)} :
{z : Z & ArithFact (z >= 0)} :=
build_ex (Z.max x y).
+
+Definition shl_int_8 (x y : Z) `{HE:ArithFact (x = 8)} `{HR:ArithFact (0 <= y <= 3)}: {z : Z & ArithFact (In z [8;16;32;64])}.
+refine (existT _ (shl_int x y) _).
+destruct HE as [HE].
+destruct HR as [HR].
+assert (H : y = 0 \/ y = 1 \/ y = 2 \/ y = 3) by omega.
+constructor.
+intuition (subst; compute; auto).
+Defined.
+
+Definition shl_int_32 (x y : Z) `{HE:ArithFact (x = 32)} `{HR:ArithFact (In y [0;1])}: {z : Z & ArithFact (In z [32;64])}.
+refine (existT _ (shl_int x y) _).
+destruct HE as [HE].
+destruct HR as [[HR1 | [HR2 | []]]];
+subst; compute;
+auto using Build_ArithFact.
+Defined.
diff --git a/lib/elf.sail b/lib/elf.sail
index 2d799d4d..6ea5de19 100644
--- a/lib/elf.sail
+++ b/lib/elf.sail
@@ -3,12 +3,14 @@ $define _ELF
val elf_entry = {
ocaml: "Elf_loader.elf_entry",
+ interpreter: "Elf_loader.elf_entry",
lem: "elf_entry",
c: "elf_entry"
} : unit -> int
val elf_tohost = {
ocaml: "Elf_loader.elf_tohost",
+ interpreter: "Elf_loader.elf_tohost",
lem: "elf_tohost",
c: "elf_tohost"
} : unit -> int
diff --git a/lib/flow.sail b/lib/flow.sail
index e6fe7fc0..5c69a128 100644
--- a/lib/flow.sail
+++ b/lib/flow.sail
@@ -25,9 +25,9 @@ val and_bool_no_flow = {coq: "andb", _: "and_bool"} : (bool, bool) -> bool
val or_bool = {coq: "orb", _: "or_bool"} : forall ('p : Bool) ('q : Bool). (bool('p), bool('q)) -> bool('p | 'q)
-val eq_int = {ocaml: "eq_int", lem: "eq", c: "eq_int", coq: "Z.eqb"} : forall 'n 'm. (int('n), int('m)) -> bool('n == 'm)
+val eq_int = {ocaml: "eq_int", interpreter: "eq_int", lem: "eq", c: "eq_int", coq: "Z.eqb"} : forall 'n 'm. (int('n), int('m)) -> bool('n == 'm)
-val eq_bool = {ocaml: "eq_bool", lem: "eq", c: "eq_bool", coq: "Bool.eqb"} : (bool, bool) -> bool
+val eq_bool = {ocaml: "eq_bool", interpreter: "eq_bool", lem: "eq", c: "eq_bool", coq: "Bool.eqb"} : (bool, bool) -> bool
val neq_int = {lem: "neq"} : forall 'n 'm. (int('n), int('m)) -> bool('n != 'm)
function neq_int (x, y) = not_bool(eq_int(x, y))
diff --git a/lib/hol/sail2_prompt_monad.lem b/lib/hol/sail2_prompt_monad.lem
index ade12347..896c1a9c 100644
--- a/lib/hol/sail2_prompt_monad.lem
+++ b/lib/hol/sail2_prompt_monad.lem
@@ -44,7 +44,7 @@ let inline read_memt = read_memtS
let inline read_mem = read_memS
let inline excl_result = excl_resultS
let inline write_reg = write_regS
-let inline write_mem_ea wk addr sz = return ()
+let inline write_mem_ea wk addrsize addr sz = return ()
let inline write_memt = write_memtS
let inline write_mem = write_memS
let barrier _ = return ()
diff --git a/lib/instr_kinds.sail b/lib/instr_kinds.sail
new file mode 100644
index 00000000..66ef90c6
--- /dev/null
+++ b/lib/instr_kinds.sail
@@ -0,0 +1,28 @@
+union read_kind = {
+ Read_plain : unit,
+ Read_reserve : unit,
+ Read_acquire : unit,
+ Read_exclusive : unit,
+ Read_exclusive_acquire : unit,
+ Read_stream : unit,
+ Read_RISCV_acquire : unit,
+ Read_RISCV_strong_acquire : unit,
+ Read_RISCV_reserved : unit,
+ Read_RISCV_reserved_acquire : unit,
+ Read_RISCV_reserved_strong_acquire : unit,
+ Read_X86_locked : unit
+}
+
+union write_kind = {
+ Write_plain : unit
+ Write_conditional : unit
+ Write_release : unit
+ Write_exclusive : unit
+ Write_exclusive_release : unit
+ Write_RISCV_release : unit
+ Write_RISCV_strong_release : unit
+ Write_RISCV_conditional : unit
+ Write_RISCV_conditional_release : unit
+ Write_RISCV_conditional_strong_release : unit
+ Write_X86_locked : unit
+} \ No newline at end of file
diff --git a/lib/isabelle/Sail2_state_lemmas.thy b/lib/isabelle/Sail2_state_lemmas.thy
index 8b189f7a..e8148597 100644
--- a/lib/isabelle/Sail2_state_lemmas.thy
+++ b/lib/isabelle/Sail2_state_lemmas.thy
@@ -91,7 +91,7 @@ lemma liftState_read_memt[liftState_simp]:
split: option.splits intro: bindS_cong)
lemma liftState_read_mem[liftState_simp]:
- shows "liftState r (read_mem BCa BCb rk a sz) = read_memS BCa BCb rk a sz"
+ shows "liftState r (read_mem BCa BCb rk asz a sz) = read_memS BCa BCb rk a sz"
by (auto simp: read_mem_def read_mem_bytes_def read_memS_def read_mem_bytesS_def maybe_failS_def
read_memtS_def
prod.case_distrib option.case_distrib[where h = "liftState r"]
@@ -100,7 +100,7 @@ lemma liftState_read_mem[liftState_simp]:
lemma liftState_write_mem_ea_BC:
assumes "unsigned_method BCa a = Some a'"
- shows "liftState r (write_mem_ea BCa rk a sz) = returnS ()"
+ shows "liftState r (write_mem_ea BCa rk asz a sz) = returnS ()"
using assms by (auto simp: write_mem_ea_def nat_of_bv_def maybe_fail_def)
(*lemma liftState_write_mem_ea[liftState_simp]:
@@ -118,7 +118,7 @@ lemma liftState_write_memt[liftState_simp]:
by (auto simp: write_memt_def write_memtS_def liftState_simp split: option.splits)
lemma liftState_write_mem[liftState_simp]:
- "liftState r (write_mem BCa BCv wk addr sz v) = write_memS BCa BCv wk addr sz v"
+ "liftState r (write_mem BCa BCv wk addrsize addr sz v) = write_memS BCa BCv wk addr sz v"
by (auto simp: write_mem_def write_memS_def write_memtS_def write_mem_bytesS_def liftState_simp
split: option.splits)
diff --git a/lib/isabelle/output/document/Sail2_operators_bitlists.tex b/lib/isabelle/output/document/Sail2_operators_bitlists.tex
new file mode 100644
index 00000000..a676b7bf
--- /dev/null
+++ b/lib/isabelle/output/document/Sail2_operators_bitlists.tex
@@ -0,0 +1,1810 @@
+%
+\begin{isabellebody}%
+\setisabellecontext{Sail{\isadigit{2}}{\isacharunderscore}operators{\isacharunderscore}bitlists}%
+%
+\isadelimdocument
+%
+\endisadelimdocument
+%
+\isatagdocument
+%
+\isamarkupchapter{Generated by Lem from \isa{{\isachardot}{\isachardot}{\isacharslash}{\isachardot}{\isachardot}{\isacharslash}src{\isacharslash}gen{\isacharunderscore}lib{\isacharslash}sail{\isadigit{2}}{\isacharunderscore}operators{\isacharunderscore}bitlists{\isachardot}lem}.%
+}
+\isamarkuptrue%
+%
+\endisatagdocument
+{\isafolddocument}%
+%
+\isadelimdocument
+%
+\endisadelimdocument
+%
+\isadelimtheory
+%
+\endisadelimtheory
+%
+\isatagtheory
+\isacommand{theory}\isamarkupfalse%
+\ {\isachardoublequoteopen}Sail{\isadigit{2}}{\isacharunderscore}operators{\isacharunderscore}bitlists{\isachardoublequoteclose}\ \isanewline
+\isanewline
+\isakeyword{imports}\isanewline
+\ \ Main\isanewline
+\ \ {\isachardoublequoteopen}LEM{\isachardot}Lem{\isacharunderscore}pervasives{\isacharunderscore}extra{\isachardoublequoteclose}\isanewline
+\ \ {\isachardoublequoteopen}LEM{\isachardot}Lem{\isacharunderscore}machine{\isacharunderscore}word{\isachardoublequoteclose}\isanewline
+\ \ {\isachardoublequoteopen}Sail{\isadigit{2}}{\isacharunderscore}values{\isachardoublequoteclose}\isanewline
+\ \ {\isachardoublequoteopen}Sail{\isadigit{2}}{\isacharunderscore}operators{\isachardoublequoteclose}\isanewline
+\ \ {\isachardoublequoteopen}Sail{\isadigit{2}}{\isacharunderscore}prompt{\isacharunderscore}monad{\isachardoublequoteclose}\isanewline
+\ \ {\isachardoublequoteopen}Sail{\isadigit{2}}{\isacharunderscore}prompt{\isachardoublequoteclose}\isanewline
+\isanewline
+\isakeyword{begin}\ \isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{open\ import\ Pervasives{\isacharunderscore}extra}%
+}\isanewline
+%
+\isamarkupcmt{\isa{open\ import\ Machine{\isacharunderscore}word}%
+}\isanewline
+%
+\isamarkupcmt{\isa{open\ import\ Sail{\isadigit{2}}{\isacharunderscore}values}%
+}\isanewline
+%
+\isamarkupcmt{\isa{open\ import\ Sail{\isadigit{2}}{\isacharunderscore}operators}%
+}\isanewline
+%
+\isamarkupcmt{\isa{open\ import\ Sail{\isadigit{2}}{\isacharunderscore}prompt{\isacharunderscore}monad}%
+}\isanewline
+%
+\isamarkupcmt{\isa{open\ import\ Sail{\isadigit{2}}{\isacharunderscore}prompt}%
+}\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{Specialisation\ of\ operators\ to\ bit\ lists}%
+}\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ uint{\isacharunderscore}maybe\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ integer}%
+}%
+\endisatagtheory
+{\isafoldtheory}%
+%
+\isadelimtheory
+\isanewline
+%
+\endisadelimtheory
+\isacommand{definition}\isamarkupfalse%
+\ uint{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}int{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ uint{\isacharunderscore}maybe\ v\ {\isacharequal}\ {\isacharparenleft}\ unsigned{\isacharunderscore}of{\isacharunderscore}bits\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ uint{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}c{\isacharcomma}{\isacharparenleft}int{\isacharparenright}{\isacharcomma}{\isacharprime}b{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ uint{\isacharunderscore}fail\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ v\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}uint{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}\isanewline
+\ \ {\isacharparenleft}unsigned{\isacharunderscore}method\ \ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a{\isacharparenright}\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ uint{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}int{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ uint{\isacharunderscore}nondet\ v\ {\isacharequal}\ {\isacharparenleft}\isanewline
+\ \ bools{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}nondet\ v\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ bs\ {\isachardot}\ \isanewline
+\ \ return\ {\isacharparenleft}int{\isacharunderscore}of{\isacharunderscore}bools\ False\ bs{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ uint\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ uint\ v\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}failwith\ {\isacharparenleft}uint{\isacharunderscore}maybe\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ sint{\isacharunderscore}maybe\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ integer}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sint{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}int{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sint{\isacharunderscore}maybe\ v\ {\isacharequal}\ {\isacharparenleft}\ signed{\isacharunderscore}of{\isacharunderscore}bits\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sint{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}c{\isacharcomma}{\isacharparenleft}int{\isacharparenright}{\isacharcomma}{\isacharprime}b{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sint{\isacharunderscore}fail\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ v\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}sint{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}\isanewline
+\ \ {\isacharparenleft}signed{\isacharunderscore}method\ \ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a{\isacharparenright}\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sint{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}int{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sint{\isacharunderscore}nondet\ v\ {\isacharequal}\ {\isacharparenleft}\isanewline
+\ \ bools{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}nondet\ v\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ bs\ {\isachardot}\ \isanewline
+\ \ return\ {\isacharparenleft}int{\isacharunderscore}of{\isacharunderscore}bools\ True\ bs{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sint\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sint\ v\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}failwith\ {\isacharparenleft}sint{\isacharunderscore}maybe\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ extz{\isacharunderscore}vec\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ extz{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ extz{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ extz{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ exts{\isacharunderscore}vec\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ exts{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ exts{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ exts{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ zero{\isacharunderscore}extend\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ zero{\isacharunderscore}extend\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ zero{\isacharunderscore}extend\ bits\ len\ {\isacharequal}\ {\isacharparenleft}\ extz{\isacharunderscore}bits\ len\ bits\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ sign{\isacharunderscore}extend\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sign{\isacharunderscore}extend\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sign{\isacharunderscore}extend\ bits\ len\ {\isacharequal}\ {\isacharparenleft}\ exts{\isacharunderscore}bits\ len\ bits\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ zeros\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ zeros\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ zeros\ len\ {\isacharequal}\ {\isacharparenleft}\ repeat\ {\isacharbrackleft}B{\isadigit{0}}{\isacharbrackright}\ len\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ vector{\isacharunderscore}truncate\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ vector{\isacharunderscore}truncate\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ vector{\isacharunderscore}truncate\ bs\ len\ {\isacharequal}\ {\isacharparenleft}\ extz{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ len\ bs\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ vec{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}maybe\ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ {\isacharparenleft}list\ bitU{\isacharparenright}}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ vec{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}fail\ \ \ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ vec{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}nondet\ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ vec{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}failwith\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ vec{\isacharunderscore}of{\isacharunderscore}bits\ \ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ access{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ access{\isacharunderscore}vec{\isacharunderscore}inc\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ access{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ access{\isacharunderscore}bv{\isacharunderscore}inc\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ access{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ access{\isacharunderscore}vec{\isacharunderscore}dec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ access{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ access{\isacharunderscore}bv{\isacharunderscore}dec\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ update{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}inc\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ update{\isacharunderscore}bv{\isacharunderscore}inc\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}inc{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}inc{\isacharunderscore}maybe\ v\ i\ b\ {\isacharequal}\ {\isacharparenleft}\ Some\ {\isacharparenleft}update{\isacharunderscore}vec{\isacharunderscore}inc\ v\ i\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}inc{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}inc{\isacharunderscore}fail\ v\ i\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}update{\isacharunderscore}vec{\isacharunderscore}inc\ v\ i\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}inc{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}inc{\isacharunderscore}nondet\ v\ i\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}update{\isacharunderscore}vec{\isacharunderscore}inc\ v\ i\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ update{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}dec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ update{\isacharunderscore}bv{\isacharunderscore}dec\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}dec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}dec{\isacharunderscore}maybe\ v\ i\ b\ {\isacharequal}\ {\isacharparenleft}\ Some\ {\isacharparenleft}update{\isacharunderscore}vec{\isacharunderscore}dec\ v\ i\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}dec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}dec{\isacharunderscore}fail\ v\ i\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}update{\isacharunderscore}vec{\isacharunderscore}dec\ v\ i\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}vec{\isacharunderscore}dec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}vec{\isacharunderscore}dec{\isacharunderscore}nondet\ v\ i\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}update{\isacharunderscore}vec{\isacharunderscore}dec\ v\ i\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ subrange{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subrange{\isacharunderscore}vec{\isacharunderscore}inc\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subrange{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ subrange{\isacharunderscore}bv{\isacharunderscore}inc\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ subrange{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subrange{\isacharunderscore}vec{\isacharunderscore}dec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subrange{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ subrange{\isacharunderscore}bv{\isacharunderscore}dec\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}inc\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}inc\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ update{\isacharunderscore}subrange{\isacharunderscore}bv{\isacharunderscore}inc\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}dec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}dec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ update{\isacharunderscore}subrange{\isacharunderscore}bv{\isacharunderscore}dec\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ concat{\isacharunderscore}vec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ concat{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ concat{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ concat{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ cons{\isacharunderscore}vec\ {\isacharcolon}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cons{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cons{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ cons{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cons{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cons{\isacharunderscore}vec{\isacharunderscore}maybe\ b\ v\ {\isacharequal}\ {\isacharparenleft}\ Some\ {\isacharparenleft}cons{\isacharunderscore}vec\ b\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cons{\isacharunderscore}vec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cons{\isacharunderscore}vec{\isacharunderscore}fail\ b\ v\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}cons{\isacharunderscore}vec\ b\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cons{\isacharunderscore}vec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cons{\isacharunderscore}vec{\isacharunderscore}nondet\ b\ v\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}cons{\isacharunderscore}vec\ b\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ cast{\isacharunderscore}unit{\isacharunderscore}vec\ {\isacharcolon}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cast{\isacharunderscore}unit{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cast{\isacharunderscore}unit{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ cast{\isacharunderscore}unit{\isacharunderscore}bv\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cast{\isacharunderscore}unit{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cast{\isacharunderscore}unit{\isacharunderscore}vec{\isacharunderscore}maybe\ b\ {\isacharequal}\ {\isacharparenleft}\ Some\ {\isacharparenleft}cast{\isacharunderscore}unit{\isacharunderscore}vec\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cast{\isacharunderscore}unit{\isacharunderscore}vec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cast{\isacharunderscore}unit{\isacharunderscore}vec{\isacharunderscore}fail\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}cast{\isacharunderscore}unit{\isacharunderscore}vec\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ cast{\isacharunderscore}unit{\isacharunderscore}vec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ cast{\isacharunderscore}unit{\isacharunderscore}vec{\isacharunderscore}nondet\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}cast{\isacharunderscore}unit{\isacharunderscore}vec\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ vec{\isacharunderscore}of{\isacharunderscore}bit\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ vec{\isacharunderscore}of{\isacharunderscore}bit\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ vec{\isacharunderscore}of{\isacharunderscore}bit\ {\isacharequal}\ {\isacharparenleft}\ bv{\isacharunderscore}of{\isacharunderscore}bit\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ vec{\isacharunderscore}of{\isacharunderscore}bit{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ vec{\isacharunderscore}of{\isacharunderscore}bit{\isacharunderscore}maybe\ len\ b\ {\isacharequal}\ {\isacharparenleft}\ Some\ {\isacharparenleft}vec{\isacharunderscore}of{\isacharunderscore}bit\ len\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ vec{\isacharunderscore}of{\isacharunderscore}bit{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ vec{\isacharunderscore}of{\isacharunderscore}bit{\isacharunderscore}fail\ len\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}vec{\isacharunderscore}of{\isacharunderscore}bit\ len\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ vec{\isacharunderscore}of{\isacharunderscore}bit{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ vec{\isacharunderscore}of{\isacharunderscore}bit{\isacharunderscore}nondet\ len\ b\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}vec{\isacharunderscore}of{\isacharunderscore}bit\ len\ b{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ msb\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ msb\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bitU\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ msb\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ most{\isacharunderscore}significant\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}maybe\ {\isacharcolon}\ bool\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ integer}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bool\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}int{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}maybe\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ int{\isacharunderscore}of{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bool\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}int{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}fail\ sign\ v\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}int{\isacharunderscore}of{\isacharunderscore}vec{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}maybe\ sign\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bool\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}int{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}nondet\ sign\ v\ {\isacharequal}\ {\isacharparenleft}\ bools{\isacharunderscore}of{\isacharunderscore}bits{\isacharunderscore}nondet\ v\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ v\ {\isachardot}\ \ return\ {\isacharparenleft}int{\isacharunderscore}of{\isacharunderscore}bools\ sign\ v{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ int{\isacharunderscore}of{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bool\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ int{\isacharunderscore}of{\isacharunderscore}vec\ sign\ v\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}failwith\ {\isacharparenleft}int{\isacharunderscore}of{\isacharunderscore}vec{\isacharunderscore}maybe\ sign\ v{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ string{\isacharunderscore}of{\isacharunderscore}bits\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ string}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ string{\isacharunderscore}of{\isacharunderscore}bits\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ string\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ string{\isacharunderscore}of{\isacharunderscore}bits\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ string{\isacharunderscore}of{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ decimal{\isacharunderscore}string{\isacharunderscore}of{\isacharunderscore}bits\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ string}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ decimal{\isacharunderscore}string{\isacharunderscore}of{\isacharunderscore}bits\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ string\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ decimal{\isacharunderscore}string{\isacharunderscore}of{\isacharunderscore}bits\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ decimal{\isacharunderscore}string{\isacharunderscore}of{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ and{\isacharunderscore}vec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ or{\isacharunderscore}vec\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ xor{\isacharunderscore}vec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ not{\isacharunderscore}vec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ and{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ and{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ binop{\isacharunderscore}list\ and{\isacharunderscore}bit\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ or{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ or{\isacharunderscore}vec\ \ {\isacharequal}\ {\isacharparenleft}\ binop{\isacharunderscore}list\ or{\isacharunderscore}bit\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ xor{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ xor{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ binop{\isacharunderscore}list\ xor{\isacharunderscore}bit\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ not{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ not{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ List{\isachardot}map\ not{\isacharunderscore}bit\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ {\isacharcolon}\ forall\ {\isacharprime}a\ {\isacharprime}b{\isachardot}\ Bitvector\ {\isacharprime}a\ {\isacharequal}{\isachargreater}\ {\isacharparenleft}integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer{\isacharparenright}\ {\isacharminus}{\isachargreater}\ bool\ {\isacharminus}{\isachargreater}\ {\isacharprime}a\ {\isacharminus}{\isachargreater}\ {\isacharprime}a\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}{\isacharparenleft}int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int{\isacharparenright}{\isasymRightarrow}\ bool\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ op{\isadigit{1}}\ sign\ l\ r\ {\isacharequal}\ {\isacharparenleft}\isanewline
+\ \ {\isacharparenleft}let\ len\ {\isacharequal}{\isacharparenleft}{\isacharparenleft}\ {\isadigit{2}}\ {\isacharcolon}{\isacharcolon}\ int{\isacharparenright}\ {\isacharasterisk}\isanewline
+\ \ {\isacharparenleft}length{\isacharunderscore}method\ \ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a{\isacharparenright}\ l{\isacharparenright}\ in\isanewline
+\ \ {\isacharparenleft}let\ l{\isacharprime}\ {\isacharequal}\ {\isacharparenleft}if\ sign\ then\ exts{\isacharunderscore}bv\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ len\ l\ else\ extz{\isacharunderscore}bv\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ len\ l{\isacharparenright}\ in\isanewline
+\ \ {\isacharparenleft}let\ r{\isacharprime}\ {\isacharequal}\ {\isacharparenleft}if\ sign\ then\ exts{\isacharunderscore}bv\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ len\ r\ else\ extz{\isacharunderscore}bv\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ len\ r{\isacharparenright}\ in\isanewline
+\ \ List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}arith{\isacharunderscore}op{\isacharunderscore}bits\ op{\isadigit{1}}\ sign\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ l{\isacharprime}{\isacharparenright}\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ r{\isacharprime}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ add{\isacharunderscore}vec\ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ adds{\isacharunderscore}vec\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ sub{\isacharunderscore}vec\ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ subs{\isacharunderscore}vec\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mult{\isacharunderscore}vec\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mults{\isacharunderscore}vec\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec\ \ \ {\isacharequal}\ {\isacharparenleft}\ {\isacharparenleft}{\isasymlambda}\ l\ r{\isachardot}\ List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}arith{\isacharunderscore}op{\isacharunderscore}bits\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ False\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ l{\isacharparenright}\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ adds{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ adds{\isacharunderscore}vec\ \ {\isacharequal}\ {\isacharparenleft}\ {\isacharparenleft}{\isasymlambda}\ l\ r{\isachardot}\ List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}arith{\isacharunderscore}op{\isacharunderscore}bits\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ True\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ l{\isacharparenright}\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec\ \ \ {\isacharequal}\ {\isacharparenleft}\ {\isacharparenleft}{\isasymlambda}\ l\ r{\isachardot}\ List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}arith{\isacharunderscore}op{\isacharunderscore}bits\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ False\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ l{\isacharparenright}\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subs{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subs{\isacharunderscore}vec\ \ {\isacharequal}\ {\isacharparenleft}\ {\isacharparenleft}{\isasymlambda}\ l\ r{\isachardot}\ List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}arith{\isacharunderscore}op{\isacharunderscore}bits\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ True\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ l{\isacharparenright}\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mult{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mult{\isacharunderscore}vec\ \ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}\ {\isacharasterisk}\ {\isacharparenright}\ False\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mults{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mults{\isacharunderscore}vec\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}\ {\isacharasterisk}\ {\isacharparenright}\ True\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ add{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ sub{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mult{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec{\isacharunderscore}int\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec{\isacharunderscore}int\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mult{\isacharunderscore}vec{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mult{\isacharunderscore}vec{\isacharunderscore}int\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}\ {\isacharasterisk}\ {\isacharparenright}\ False\ l\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}bits{\isacharunderscore}of{\isacharunderscore}int\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ add{\isacharunderscore}int{\isacharunderscore}vec\ \ \ \ \ \ \ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ sub{\isacharunderscore}int{\isacharunderscore}vec\ \ \ \ \ \ \ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mult{\isacharunderscore}int{\isacharunderscore}vec\ \ \ \ \ \ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}int{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}int{\isacharunderscore}vec\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}int{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}int{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}int{\isacharunderscore}vec\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}int{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mult{\isacharunderscore}int{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mult{\isacharunderscore}int{\isacharunderscore}vec\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}double{\isacharunderscore}bl\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}\ {\isacharasterisk}\ {\isacharparenright}\ False\ {\isacharparenleft}List{\isachardot}map\ {\isacharparenleft}{\isasymlambda}\ b{\isachardot}\ b{\isacharparenright}\ {\isacharparenleft}bits{\isacharunderscore}of{\isacharunderscore}int\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ r{\isacharparenright}{\isacharparenright}\ l{\isacharparenright}{\isacharparenright}\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ add{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ adds{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ sub{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ subs{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec{\isacharunderscore}bool\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bool\ {\isasymRightarrow}\ {\isacharprime}a\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec{\isacharunderscore}bool\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}\ {\isacharprime}a\ option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bit\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ bool{\isacharunderscore}of{\isacharunderscore}bitU{\isacharunderscore}nondet\ r\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ r\ {\isachardot}\ \ return\ {\isacharparenleft}add{\isacharunderscore}vec{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ add{\isacharunderscore}vec{\isacharunderscore}bit\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ add{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}add{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ adds{\isacharunderscore}vec{\isacharunderscore}bool\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bool\ {\isasymRightarrow}\ {\isacharprime}a\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ adds{\isacharunderscore}vec{\isacharunderscore}bool\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ True\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}\ {\isacharprime}a\ option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bit\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharplus}{\isacharparenright}\ True\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ bool{\isacharunderscore}of{\isacharunderscore}bitU{\isacharunderscore}nondet\ r\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ r\ {\isachardot}\ \ return\ {\isacharparenleft}adds{\isacharunderscore}vec{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ adds{\isacharunderscore}vec{\isacharunderscore}bit\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ adds{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}adds{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec{\isacharunderscore}bool\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bool\ {\isasymRightarrow}\ {\isacharprime}a\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec{\isacharunderscore}bool\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}\ {\isacharprime}a\ option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bit\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ False\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ bool{\isacharunderscore}of{\isacharunderscore}bitU{\isacharunderscore}nondet\ r\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ r\ {\isachardot}\ \ return\ {\isacharparenleft}sub{\isacharunderscore}vec{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ sub{\isacharunderscore}vec{\isacharunderscore}bit\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ sub{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subs{\isacharunderscore}vec{\isacharunderscore}bool\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bool\ {\isasymRightarrow}\ {\isacharprime}a\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subs{\isacharunderscore}vec{\isacharunderscore}bool\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ True\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}\ {\isacharprime}a\ option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ arith{\isacharunderscore}op{\isacharunderscore}bv{\isacharunderscore}bit\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ {\isacharparenleft}{\isacharminus}{\isacharparenright}\ True\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}fail\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}sub{\isacharunderscore}vec{\isacharunderscore}bit{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ {\isacharprime}a\ Bitvector{\isacharunderscore}class\ {\isasymRightarrow}\ {\isacharprime}a\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}d{\isacharcomma}{\isacharprime}a{\isacharcomma}{\isacharprime}c{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}nondet\ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ bool{\isacharunderscore}of{\isacharunderscore}bitU{\isacharunderscore}nondet\ r\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ r\ {\isachardot}\ \ return\ {\isacharparenleft}subs{\isacharunderscore}vec{\isacharunderscore}bool\ \isanewline
+\ \ dict{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}a\ l\ r{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ subs{\isacharunderscore}vec{\isacharunderscore}bit\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bitU\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ subs{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}subs{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}maybe\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ add{\isacharunderscore}overflow{\isacharunderscore}vec\ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ add{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}signed\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ sub{\isacharunderscore}overflow{\isacharunderscore}vec\ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ sub{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}signed\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ mult{\isacharunderscore}overflow{\isacharunderscore}vec\ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ mult{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}signed\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ let\ add{\isacharunderscore}overflow{\isacharunderscore}vec\ \ \ \ \ \ \ \ \ {\isacharequal}\ add{\isacharunderscore}overflow{\isacharunderscore}bv\ let\ add{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}signed\ \ {\isacharequal}\ add{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}signed\ let\ sub{\isacharunderscore}overflow{\isacharunderscore}vec\ \ \ \ \ \ \ \ \ {\isacharequal}\ sub{\isacharunderscore}overflow{\isacharunderscore}bv\ let\ sub{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}signed\ \ {\isacharequal}\ sub{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}signed\ let\ mult{\isacharunderscore}overflow{\isacharunderscore}vec\ \ \ \ \ \ \ \ {\isacharequal}\ mult{\isacharunderscore}overflow{\isacharunderscore}bv\ let\ mult{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}signed\ {\isacharequal}\ mult{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}signed\ \ val\ add{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ add{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}signed\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ sub{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ val\ sub{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}signed\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bitU\ {\isacharminus}{\isachargreater}\ {\isacharparenleft}list\ bitU\ {\isacharasterisk}\ bitU\ {\isacharasterisk}\ bitU{\isacharparenright}\ let\ add{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ \ {\isacharequal}\ add{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}bit\ let\ add{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}signed\ \ {\isacharequal}\ add{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}bit{\isacharunderscore}signed\ let\ sub{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit\ \ \ \ \ \ \ \ \ {\isacharequal}\ sub{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}bit\ let\ sub{\isacharunderscore}overflow{\isacharunderscore}vec{\isacharunderscore}bit{\isacharunderscore}signed\ \ {\isacharequal}\ sub{\isacharunderscore}overflow{\isacharunderscore}bv{\isacharunderscore}bit{\isacharunderscore}signed}%
+}\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ shiftl\ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ shiftr\ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ arith{\isacharunderscore}shiftr\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ rotl\ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ rotr\ \ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ shiftl\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \ \ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ shiftl\ \ \ \ \ \ \ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ shiftl{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ shiftr\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \ \ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ shiftr\ \ \ \ \ \ \ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ shiftr{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ arith{\isacharunderscore}shiftr\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ arith{\isacharunderscore}shiftr\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ arith{\isacharunderscore}shiftr{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ rotl\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \ \ \ \ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ rotl\ \ \ \ \ \ \ \ \ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ rotl{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ rotr\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \ \ \ \ \ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ rotr\ \ \ \ \ \ \ \ \ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ rotr{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec\ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ {\isacharparenleft}list\ bitU{\isacharparenright}}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}fail\ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}nondet\ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}mod{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}maybe\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ mod{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}fail\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}mod{\isacharunderscore}vec{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}mod{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}nondet\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ of{\isacharunderscore}bits{\isacharunderscore}nondet\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}mod{\isacharunderscore}vec\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec\ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ {\isacharparenleft}list\ bitU{\isacharparenright}}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}fail\ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}nondet\ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}quot{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}maybe\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ quot{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}fail\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}quot{\isacharunderscore}vec{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}quot{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}nondet\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ of{\isacharunderscore}bits{\isacharunderscore}nondet\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}quot{\isacharunderscore}vec\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ quots{\isacharunderscore}vec\ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quots{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ maybe\ {\isacharparenleft}list\ bitU{\isacharparenright}}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quots{\isacharunderscore}vec{\isacharunderscore}fail\ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quots{\isacharunderscore}vec{\isacharunderscore}nondet\ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quots{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quots{\isacharunderscore}vec\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}quots{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quots{\isacharunderscore}vec{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quots{\isacharunderscore}vec{\isacharunderscore}maybe\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ quots{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quots{\isacharunderscore}vec{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quots{\isacharunderscore}vec{\isacharunderscore}fail\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}quots{\isacharunderscore}vec{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}quots{\isacharunderscore}bv\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quots{\isacharunderscore}vec{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quots{\isacharunderscore}vec{\isacharunderscore}nondet\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ of{\isacharunderscore}bits{\isacharunderscore}nondet\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}quots{\isacharunderscore}vec\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}maybe\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ maybe\ {\isacharparenleft}list\ bitU{\isacharparenright}}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}fail\ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}nondet\ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}mod{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}maybe\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ mod{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}fail\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}mod{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ mod{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}nondet\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ of{\isacharunderscore}bits{\isacharunderscore}nondet\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}mod{\isacharunderscore}vec{\isacharunderscore}int\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}maybe\ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ maybe\ {\isacharparenleft}list\ bitU{\isacharparenright}}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}fail\ \ \ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}nondet\ {\isacharcolon}\ forall\ {\isacharprime}rv\ {\isacharprime}e{\isachardot}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ monad\ {\isacharprime}rv\ {\isacharparenleft}list\ bitU{\isacharparenright}\ {\isacharprime}e}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}int\ \ \ \ \ \ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ case{\isacharunderscore}option\ {\isacharparenleft}repeat\ {\isacharbrackleft}BU{\isacharbrackright}\ {\isacharparenleft}int\ {\isacharparenleft}List{\isachardot}length\ l{\isacharparenright}{\isacharparenright}{\isacharparenright}\ id\ {\isacharparenleft}quot{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}maybe\ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ quot{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}fail\ \ \ l\ r\ {\isacharequal}\ {\isacharparenleft}\ maybe{\isacharunderscore}fail\ {\isacharparenleft}{\isacharprime}{\isacharprime}quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharprime}{\isacharprime}{\isacharparenright}\ {\isacharparenleft}quot{\isacharunderscore}bv{\isacharunderscore}int\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}rv{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}e{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ quot{\isacharunderscore}vec{\isacharunderscore}int{\isacharunderscore}nondet\ l\ r\ {\isacharequal}\ {\isacharparenleft}\ of{\isacharunderscore}bits{\isacharunderscore}nondet\ \isanewline
+\ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenleft}quot{\isacharunderscore}vec{\isacharunderscore}int\ l\ r{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ replicate{\isacharunderscore}bits\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ replicate{\isacharunderscore}bits\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ replicate{\isacharunderscore}bits\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ replicate{\isacharunderscore}bits{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ duplicate\ {\isacharcolon}\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ duplicate\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ duplicate\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ duplicate{\isacharunderscore}bit{\isacharunderscore}bv\ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ duplicate{\isacharunderscore}maybe\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}option\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ duplicate{\isacharunderscore}maybe\ b\ n\ {\isacharequal}\ {\isacharparenleft}\ Some\ {\isacharparenleft}duplicate\ b\ n{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ duplicate{\isacharunderscore}fail\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ duplicate{\isacharunderscore}fail\ b\ n\ {\isacharequal}\ {\isacharparenleft}\ return\ {\isacharparenleft}duplicate\ b\ n{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ duplicate{\isacharunderscore}nondet\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ bitU\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}{\isacharprime}b{\isacharcomma}{\isacharparenleft}{\isacharparenleft}bitU{\isacharparenright}list{\isacharparenright}{\isacharcomma}{\isacharprime}a{\isacharparenright}monad\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ duplicate{\isacharunderscore}nondet\ b\ n\ {\isacharequal}\ {\isacharparenleft}\isanewline
+\ \ bool{\isacharunderscore}of{\isacharunderscore}bitU{\isacharunderscore}nondet\ b\ {\isasymbind}\ {\isacharparenleft}{\isasymlambda}\ b\ {\isachardot}\ \isanewline
+\ \ return\ {\isacharparenleft}duplicate\ {\isacharparenleft}bitU{\isacharunderscore}of{\isacharunderscore}bool\ b{\isacharparenright}\ n{\isacharparenright}{\isacharparenright}{\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ reverse{\isacharunderscore}endianness\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ reverse{\isacharunderscore}endianness\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ reverse{\isacharunderscore}endianness\ v\ {\isacharequal}\ {\isacharparenleft}\ reverse{\isacharunderscore}endianness{\isacharunderscore}list\ v\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ get{\isacharunderscore}slice{\isacharunderscore}int\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ get{\isacharunderscore}slice{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ get{\isacharunderscore}slice{\isacharunderscore}int\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ get{\isacharunderscore}slice{\isacharunderscore}int{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ set{\isacharunderscore}slice{\isacharunderscore}int\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ set{\isacharunderscore}slice{\isacharunderscore}int\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ set{\isacharunderscore}slice{\isacharunderscore}int\ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ set{\isacharunderscore}slice{\isacharunderscore}int{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ slice\ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ slice\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ slice\ v\ lo\ len\ {\isacharequal}\ {\isacharparenleft}\isanewline
+\ \ subrange{\isacharunderscore}vec{\isacharunderscore}dec\ v\ {\isacharparenleft}{\isacharparenleft}lo\ {\isacharplus}\ len{\isacharparenright}\ {\isacharminus}{\isacharparenleft}\ {\isadigit{1}}\ {\isacharcolon}{\isacharcolon}\ int{\isacharparenright}{\isacharparenright}\ lo\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ set{\isacharunderscore}slice\ {\isacharcolon}\ integer\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ integer\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ set{\isacharunderscore}slice\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}\ int\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ int\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isachardoublequoteclose}\ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ set{\isacharunderscore}slice\ {\isacharparenleft}out{\isacharunderscore}len{\isacharcolon}{\isacharcolon}ii{\isacharparenright}\ {\isacharparenleft}slice{\isacharunderscore}len{\isacharcolon}{\isacharcolon}ii{\isacharparenright}\ out\ {\isacharparenleft}n{\isacharcolon}{\isacharcolon}ii{\isacharparenright}\ v\ {\isacharequal}\ {\isacharparenleft}\isanewline
+\ \ update{\isacharunderscore}subrange{\isacharunderscore}vec{\isacharunderscore}dec\ out\ {\isacharparenleft}{\isacharparenleft}n\ {\isacharplus}\ slice{\isacharunderscore}len{\isacharparenright}\ {\isacharminus}{\isacharparenleft}\ {\isadigit{1}}\ {\isacharcolon}{\isacharcolon}\ int{\isacharparenright}{\isacharparenright}\ n\ v\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isanewline
+%
+\isamarkupcmt{\isa{val\ eq{\isacharunderscore}vec\ \ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bool}%
+}\isanewline
+%
+\isamarkupcmt{\isa{val\ neq{\isacharunderscore}vec\ \ \ {\isacharcolon}\ list\ bitU\ {\isacharminus}{\isachargreater}\ list\ bitU\ {\isacharminus}{\isachargreater}\ bool}%
+}\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ eq{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bool\ {\isachardoublequoteclose}\ \ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ eq{\isacharunderscore}vec\ \ \ \ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ eq{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+\isanewline
+\isacommand{definition}\isamarkupfalse%
+\ neq{\isacharunderscore}vec\ \ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}{\isacharparenleft}bitU{\isacharparenright}list\ {\isasymRightarrow}\ bool\ {\isachardoublequoteclose}\ \ \ \ \isakeyword{where}\ \isanewline
+\ \ \ \ \ {\isachardoublequoteopen}\ neq{\isacharunderscore}vec\ \ \ {\isacharequal}\ {\isacharparenleft}\ \isanewline
+\ \ neq{\isacharunderscore}bv\isanewline
+\ \ \ \ {\isacharparenleft}instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}Bitvector{\isacharunderscore}list{\isacharunderscore}dict\isanewline
+\ \ \ \ \ \ \ instance{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}BitU{\isacharunderscore}Sail{\isadigit{2}}{\isacharunderscore}values{\isacharunderscore}bitU{\isacharunderscore}dict{\isacharparenright}\ {\isacharparenright}{\isachardoublequoteclose}\isanewline
+%
+\isadelimtheory
+\isanewline
+%
+\endisadelimtheory
+%
+\isatagtheory
+\isacommand{end}\isamarkupfalse%
+%
+\endisatagtheory
+{\isafoldtheory}%
+%
+\isadelimtheory
+%
+\endisadelimtheory
+%
+\end{isabellebody}%
+\endinput
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+%:%962=673%:%
+%:%963=674%:%
+%:%964=674%:%
+%:%965=675%:%
+%:%968=678%:%
+%:%969=679%:%
+%:%970=680%:%
+%:%973=681%:%
+%:%974=682%:%
+%:%975=682%:%
+%:%976=683%:%
+%:%977=684%:%
+%:%978=685%:%
+%:%979=686%:%
+%:%980=686%:%
+%:%981=687%:%
+%:%982=688%:%
+%:%983=689%:%
+%:%984=689%:%
+%:%985=690%:%
+%:%986=691%:%
+%:%987=692%:%
+%:%988=692%:%
+%:%989=693%:%
+%:%991=695%:%
+%:%992=696%:%
+%:%993=697%:%
+%:%996=698%:%
+%:%997=699%:%
+%:%998=699%:%
+%:%999=700%:%
+%:%1000=701%:%
+%:%1001=702%:%
+%:%1004=703%:%
+%:%1005=704%:%
+%:%1006=704%:%
+%:%1007=705%:%
+%:%1010=708%:%
+%:%1011=709%:%
+%:%1012=710%:%
+%:%1015=711%:%
+%:%1016=712%:%
+%:%1017=712%:%
+%:%1018=713%:%
+%:%1021=716%:%
+%:%1022=717%:%
+%:%1023=718%:%
+%:%1026=719%:%
+%:%1027=720%:%
+%:%1028=720%:%
+%:%1029=721%:%
+%:%1030=722%:%
+%:%1031=723%:%
+%:%1032=724%:%
+%:%1035=725%:%
+%:%1036=726%:%
+%:%1037=726%:%
+%:%1038=727%:%
+%:%1039=728%:%
+%:%1040=729%:%
+%:%1041=730%:%
+%:%1044=731%:%
+%:%1047=732%:%
+%:%1048=733%:%
+%:%1049=733%:%
+%:%1050=734%:%
+%:%1053=737%:%
+%:%1054=738%:%
+%:%1055=739%:%
+%:%1056=739%:%
+%:%1057=740%:%
+%:%1060=743%:%
+%:%1063=744%:%
+%:%1068=745%:% \ No newline at end of file
diff --git a/lib/regfp.sail b/lib/regfp.sail
index 6044e1cc..ce361cd6 100644
--- a/lib/regfp.sail
+++ b/lib/regfp.sail
@@ -1,3 +1,6 @@
+$ifndef _REGFP
+$define _REGFP
+
/* iR : input registers,
* oR : output registers,
* aR : registers feeding into the memory address */
@@ -110,3 +113,30 @@ union instruction_kind = {
IK_simple : unit,
IK_cache_op : cache_op_kind
}
+
+val __read_mem
+ = { ocaml: "Platform.read_mem", c: "platform_read_mem", _: "read_mem" }
+ : forall 'n 'addrsize, 'n > 0 & 'addrsize in {32, 64}. (read_kind, int('addrsize), bits('addrsize), int('n)) -> bits(8 * 'n) effect {rmem}
+val __write_mem_ea
+ = { ocaml: "Platform.write_mem_ea", c: "platform_write_mem_ea", _: "write_mem_ea" }
+ : forall 'n 'addrsize, 'n > 0 & 'addrsize in {32, 64}. (write_kind, int('addrsize), bits('addrsize), int('n)) -> unit effect {eamem}
+val __write_mem
+ = { ocaml: "Platform.write_mem", c: "platform_write_mem", _: "write_mem" }
+ : forall 'n 'addrsize, 'n > 0 & 'addrsize in {32, 64}. (write_kind, int('addrsize), bits('addrsize), int('n), bits(8 * 'n)) -> bool effect {wmv}
+val __excl_res
+ = { ocaml: "Platform.excl_res", c: "platform_excl_res", _: "excl_res" }
+ : unit -> bool effect {exmem}
+val __barrier
+ = { ocaml: "Platform.barrier", c: "platform_barrier", _: "barrier" }
+ : barrier_kind -> unit effect {barr}
+
+
+/*
+val __write : forall 'n, 'n > 0. (write_kind, bits(64), int('n), bits(8 * 'n)) -> bool effect {eamem,wmv}
+function __write (wk, addr, len, value) = {
+ __write_mem_ea(wk, addr, len);
+ __write_mem(wk, addr, len, value)
+}
+*/
+
+$endif
diff --git a/lib/rts.c b/lib/rts.c
index fea3588d..dfb2ba5a 100644
--- a/lib/rts.c
+++ b/lib/rts.c
@@ -277,6 +277,60 @@ void read_ram(lbits *data,
mpz_clear(byte);
}
+void platform_read_mem(lbits *data,
+ const int read_kind,
+ const uint64_t addr_size,
+ const sbits addr,
+ const mpz_t n)
+{
+ mpz_t mpz_addr_size;
+ mpz_init(mpz_addr_size);
+ mpz_set_ui(mpz_addr_size, addr_size);
+ mpz_t addr_bv;
+ mpz_init(addr_bv);
+ mpz_set_ui(addr_bv, addr.bits);
+ read_ram(data, mpz_addr_size, n, (lbits){.len=0, .bits=NULL}, (lbits){.len=addr.len, .bits=&addr_bv});
+ mpz_clear(mpz_addr_size);
+ mpz_clear(addr_bv);
+}
+
+unit platform_write_mem_ea(const int write_kind,
+ const uint64_t addr_size,
+ const sbits addr,
+ const mpz_t n)
+{
+ return UNIT;
+}
+
+bool platform_write_mem(const int write_kind,
+ const uint64_t addr_size,
+ const sbits addr,
+ const mpz_t n,
+ const lbits data)
+{
+ mpz_t mpz_addr_size;
+ mpz_init(mpz_addr_size);
+ mpz_set_ui(mpz_addr_size, addr_size);
+ mpz_t addr_bv;
+ mpz_init(addr_bv);
+ mpz_set_ui(addr_bv, addr.bits);
+ bool res = write_ram(mpz_addr_size, n, (lbits){.len=0, .bits=NULL}, (lbits){.len=addr.len, .bits=&addr_bv}, data);
+ mpz_clear(mpz_addr_size);
+ mpz_clear(addr_bv);
+ return res;
+}
+
+bool platform_excl_res(const unit unit)
+{
+ return true;
+}
+
+unit platform_barrier(const int barrier_kind)
+{
+ return UNIT;
+}
+
+
unit load_raw(fbits addr, const sail_string file)
{
FILE *fp = fopen(file, "r");
diff --git a/lib/rts.h b/lib/rts.h
index c7c1259f..2c0722a6 100644
--- a/lib/rts.h
+++ b/lib/rts.h
@@ -71,6 +71,25 @@ sbits fast_read_ram(const int64_t data_size,
unit write_tag_bool(const fbits, const bool);
bool read_tag_bool(const fbits);
+void platform_read_mem(lbits *data,
+ const int read_kind,
+ const uint64_t addr_size,
+ const sbits addr,
+ const mpz_t n);
+unit platform_write_mem_ea(const int write_kind,
+ const uint64_t addr_size,
+ const sbits addr,
+ const mpz_t n);
+bool platform_write_mem(const int write_kind,
+ const uint64_t addr_size,
+ const sbits addr,
+ const mpz_t n,
+ const lbits data);
+bool platform_excl_res(const unit unit);
+unit platform_barrier(const int barrier_kind);
+
+
+
unit load_raw(fbits addr, const sail_string file);
void load_image(char *);
diff --git a/lib/sail.h b/lib/sail.h
index dd3431f3..05c65027 100644
--- a/lib/sail.h
+++ b/lib/sail.h
@@ -381,6 +381,7 @@ void string_length(sail_int *len, sail_string s);
void string_drop(sail_string *dst, sail_string s, sail_int len);
void string_take(sail_string *dst, sail_string s, sail_int len);
+
/* ***** Printing ***** */
void string_of_int(sail_string *str, const sail_int i);
diff --git a/lib/smt.sail b/lib/smt.sail
index 4d250bef..f58c008f 100644
--- a/lib/smt.sail
+++ b/lib/smt.sail
@@ -6,6 +6,7 @@ $define _SMT
/*! Euclidean division */
val ediv_int = {
ocaml: "quotient",
+ interpreter: "quotient",
lem: "integerDiv",
c: "ediv_int",
coq: "ediv_with_eq"
@@ -13,6 +14,7 @@ val ediv_int = {
val emod_int = {
ocaml: "modulus",
+ interpreter: "modulus",
lem: "integerMod",
c: "emod_int",
coq: "emod_with_eq"
@@ -20,6 +22,7 @@ val emod_int = {
val abs_int = {
ocaml: "abs_int",
+ interpreter: "abs_int",
lem: "abs_int",
c: "abs_int",
coq: "abs_with_eq"
diff --git a/lib/vector_dec.sail b/lib/vector_dec.sail
index 746d29c6..ee84087e 100644
--- a/lib/vector_dec.sail
+++ b/lib/vector_dec.sail
@@ -7,6 +7,7 @@ type bits ('n : Int) = vector('n, dec, bit)
val eq_bits = {
ocaml: "eq_list",
+ interpreter: "eq_list",
lem: "eq_vec",
c: "eq_bits",
coq: "eq_vec"
@@ -28,6 +29,7 @@ val bitvector_length = {coq: "length_mword", _:"length"} : forall 'n. bits('n) -
val vector_length = {
ocaml: "length",
+ interpreter: "length",
lem: "length_list",
c: "length",
coq: "vec_length"
@@ -48,6 +50,7 @@ THIS`(v, n)` truncates `v`, keeping only the _least_ significant `n` bits.
*/
val truncate = {
ocaml: "vector_truncate",
+ interpreter: "vector_truncate",
lem: "vector_truncate",
coq: "vector_truncate",
c: "sail_truncate"
@@ -69,7 +72,7 @@ function sail_mask(len, v) = if len <= length(v) then truncate(v, len) else sail
overload operator ^ = {sail_mask}
-val bitvector_concat = {ocaml: "append", lem: "concat_vec", c: "append", coq: "concat_vec"} : forall ('n : Int) ('m : Int).
+val bitvector_concat = {ocaml: "append", interpreter: "append", lem: "concat_vec", c: "append", coq: "concat_vec"} : forall ('n : Int) ('m : Int).
(bits('n), bits('m)) -> bits('n + 'm)
overload append = {bitvector_concat}
@@ -79,6 +82,7 @@ val "append_64" : forall 'n. (bits('n), bits(64)) -> bits('n + 64)
val bitvector_access = {
ocaml: "access",
+ interpreter: "access",
lem: "access_vec_dec",
coq: "access_vec_dec",
c: "vector_access"
@@ -86,6 +90,7 @@ val bitvector_access = {
val plain_vector_access = {
ocaml: "access",
+ interpreter: "access",
lem: "access_list_dec",
coq: "vec_access_dec",
c: "vector_access"
@@ -95,6 +100,7 @@ overload vector_access = {bitvector_access, plain_vector_access}
val bitvector_update = {
ocaml: "update",
+ interpreter: "update",
lem: "update_vec_dec",
coq: "update_vec_dec",
c: "vector_update"
@@ -102,6 +108,7 @@ val bitvector_update = {
val plain_vector_update = {
ocaml: "update",
+ interpreter: "update",
lem: "update_list_dec",
coq: "vec_update_dec",
c: "vector_update"
@@ -111,6 +118,7 @@ overload vector_update = {bitvector_update, plain_vector_update}
val add_bits = {
ocaml: "add_vec",
+ interpreter: "add_vec",
lem: "add_vec",
c: "add_bits",
coq: "add_vec"
@@ -118,6 +126,7 @@ val add_bits = {
val add_bits_int = {
ocaml: "add_vec_int",
+ interpreter: "add_vec_int",
lem: "add_vec_int",
c: "add_bits_int",
coq: "add_vec_int"
@@ -134,16 +143,29 @@ val sub_bits = {
val not_vec = {c: "not_bits", _: "not_vec"} : forall 'n. bits('n) -> bits('n)
-val and_vec = {lem: "and_vec", c: "and_bits", coq: "and_vec", ocaml: "and_vec"} : forall 'n. (bits('n), bits('n)) -> bits('n)
+val and_vec = {
+ lem: "and_vec",
+ c: "and_bits",
+ coq: "and_vec",
+ ocaml: "and_vec",
+ interpreter: "and_vec"
+} : forall 'n. (bits('n), bits('n)) -> bits('n)
overload operator & = {and_vec}
-val or_vec = {lem: "or_vec", c: "or_bits", coq: "or_vec", ocaml: "or_vec"} : forall 'n. (bits('n), bits('n)) -> bits('n)
+val or_vec = {
+ lem: "or_vec",
+ c: "or_bits",
+ coq: "or_vec",
+ ocaml: "or_vec",
+ interpreter: "or_vec"
+} : forall 'n. (bits('n), bits('n)) -> bits('n)
overload operator | = {or_vec}
val vector_subrange = {
ocaml: "subrange",
+ interpreter: "subrange",
lem: "subrange_vec_dec",
c: "vector_subrange",
coq: "subrange_vec_dec"
@@ -152,6 +174,7 @@ val vector_subrange = {
val vector_update_subrange = {
ocaml: "update_subrange",
+ interpreter: "update_subrange",
lem: "update_subrange_vec_dec",
c: "vector_update_subrange",
coq: "update_subrange_vec_dec"
diff --git a/lib/vector_inc.sail b/lib/vector_inc.sail
index 581dded7..daba99be 100644
--- a/lib/vector_inc.sail
+++ b/lib/vector_inc.sail
@@ -9,6 +9,7 @@ val "eq_bit" : (bit, bit) -> bool
val eq_bits = {
ocaml: "eq_list",
+ interpreter: "eq_list",
lem: "eq_vec",
c: "eq_bits",
coq: "eq_vec"
@@ -20,6 +21,7 @@ val bitvector_length = {coq: "length_mword", _:"length"} : forall 'n. bits('n) -
val vector_length = {
ocaml: "length",
+ interpreter: "length",
lem: "length_list",
c: "length",
coq: "length_list"
@@ -37,6 +39,7 @@ val "zero_extend" : forall 'n 'm, 'm >= 'n. (bits('n), atom('m)) -> bits('m)
val truncate = {
ocaml: "vector_truncate",
+ interpreter: "vector_truncate",
lem: "vector_truncate",
coq: "vector_truncate",
c: "truncate"
@@ -48,7 +51,7 @@ function mask(len, v) = if len <= length(v) then truncate(v, len) else zero_exte
overload operator ^ = {mask}
-val bitvector_concat = {ocaml: "append", lem: "concat_vec", c: "append", coq: "concat_vec"} : forall ('n : Int) ('m : Int).
+val bitvector_concat = {ocaml: "append", interpreter: "append", lem: "concat_vec", c: "append", coq: "concat_vec"} : forall ('n : Int) ('m : Int).
(bits('n), bits('m)) -> bits('n + 'm)
overload append = {bitvector_concat}
@@ -58,6 +61,7 @@ val "append_64" : forall 'n. (bits('n), bits(64)) -> bits('n + 64)
val bitvector_access = {
ocaml: "access",
+ interpreter: "access",
lem: "access_vec_inc",
coq: "access_vec_inc",
c: "vector_access"
@@ -65,6 +69,7 @@ val bitvector_access = {
val plain_vector_access = {
ocaml: "access",
+ interpreter: "access",
lem: "access_list_inc",
coq: "access_list_inc",
c: "vector_access"
@@ -74,6 +79,7 @@ overload vector_access = {bitvector_access, plain_vector_access}
val bitvector_update = {
ocaml: "update",
+ interpreter: "update",
lem: "update_vec_inc",
coq: "update_vec_inc",
c: "vector_update"
@@ -81,6 +87,7 @@ val bitvector_update = {
val plain_vector_update = {
ocaml: "update",
+ interpreter: "update",
lem: "update_list_inc",
coq: "update_list_inc",
c: "vector_update"
@@ -90,11 +97,12 @@ overload vector_update = {bitvector_update, plain_vector_update}
val add_bits = {
ocaml: "add_vec",
+ interpreter: "add_vec",
c: "add_bits"
} : forall 'n. (bits('n), bits('n)) -> bits('n)
val add_bits_int = {
- ocaml: "add_vec_int",
+ ocaml: "add_vec_int", interpreter: "add_vec_int",
c: "add_bits_int"
} : forall 'n. (bits('n), int) -> bits('n)
@@ -102,6 +110,7 @@ overload operator + = {add_bits, add_bits_int}
val vector_subrange = {
ocaml: "subrange",
+ interpreter: "subrange",
lem: "subrange_vec_inc",
c: "vector_subrange",
coq: "subrange_vec_inc"
@@ -110,6 +119,7 @@ val vector_subrange = {
val vector_update_subrange = {
ocaml: "update_subrange",
+ interpreter: "update_subrange",
lem: "update_subrange_vec_inc",
c: "vector_update_subrange",
coq: "update_subrange_vec_inc"