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authorPeter Sewell2017-03-15 09:33:37 +0000
committerPeter Sewell2017-03-15 09:33:37 +0000
commit3519cfe79e70c805185eeec3df508534c73b5579 (patch)
tree63d9af328b3506e7bbd709b76f7099eebba2ecb1 /language/l2.lem
parent6dd09295059f026d35696cbeeaa5256a2ed433b0 (diff)
rename "manual.tex" to "type_system.tex"
fix Makefile clean
Diffstat (limited to 'language/l2.lem')
-rw-r--r--language/l2.lem103
1 files changed, 51 insertions, 52 deletions
diff --git a/language/l2.lem b/language/l2.lem
index 2d375340..40b23099 100644
--- a/language/l2.lem
+++ b/language/l2.lem
@@ -34,11 +34,11 @@ type base_kind =
| BK_aux of base_kind_aux * l
-type kid_aux = (* variables with kind, ticked to differentiate from program variables *)
+type kid_aux = (* kinded IDs: Type, Nat, Order, and Effect variables *)
| Var of x
-type id_aux = (* Identifier *)
+type id_aux = (* identifier *)
| Id of x
| DeIid of x (* remove infix status *)
@@ -59,8 +59,8 @@ type kind =
| K_aux of kind_aux * l
-type nexp_aux = (* expression of kind Nat, for vector sizes and origins *)
- | Nexp_id of id (* identifier, bound by \texttt{def Nat x = nexp} *)
+type nexp_aux = (* numeric expression, of kind Nat *)
+ | Nexp_id of id (* abbreviation identifier *)
| Nexp_var of kid (* variable *)
| Nexp_constant of integer (* constant *)
| Nexp_times of nexp * nexp (* product *)
@@ -84,10 +84,10 @@ type base_effect_aux = (* effect *)
| BE_depend (* dynamic footprint *)
| BE_undef (* undefined-instruction exception *)
| BE_unspec (* unspecified values *)
- | BE_nondet (* nondeterminism from intra-instruction parallelism *)
- | BE_escape (* Tracking of expressions and functions that might call exit *)
- | BE_lset (* Local mutation happend; not user-writable *)
- | BE_lret (* Local return happened; not user-writable *)
+ | BE_nondet (* nondeterminism, from nondet *)
+ | BE_escape (* potential call of exit *)
+ | BE_lset (* local mutation; not user-writable *)
+ | BE_lret (* local return; not user-writable *)
type base_effect =
@@ -96,11 +96,11 @@ type base_effect =
type order_aux = (* vector order specifications, of kind Order *)
| Ord_var of kid (* variable *)
- | Ord_inc (* increasing (little-endian) *)
- | Ord_dec (* decreasing (big-endian) *)
+ | Ord_inc (* increasing *)
+ | Ord_dec (* decreasing *)
-type effect_aux = (* effect set, of kind Effects *)
+type effect_aux = (* effect set, of kind Effect *)
| Effect_var of kid
| Effect_set of list base_effect (* effect set *)
@@ -152,7 +152,7 @@ type typquant_aux = (* type quantifiers and constraints *)
| TypQ_no_forall (* empty *)
-type lit_aux = (* Literal constant *)
+type lit_aux = (* literal constant *)
| L_unit (* $() : unit$ *)
| L_zero (* $bitzero : bit$ *)
| L_one (* $bitone : bit$ *)
@@ -161,26 +161,26 @@ type lit_aux = (* Literal constant *)
| L_num of integer (* natural number constant *)
| L_hex of string (* bit vector constant, C-style *)
| L_bin of string (* bit vector constant, C-style *)
- | L_undef (* constant representing undefined values *)
| L_string of string (* string constant *)
+ | L_undef (* undefined-value constant *)
type typquant =
| TypQ_aux of typquant_aux * l
-type typ_aux = (* Type expressions, of kind $Type$ *)
- | Typ_wild (* Unspecified type *)
- | Typ_id of id (* Defined type *)
- | Typ_var of kid (* Type variable *)
- | Typ_fn of typ * typ * effect (* Function type (first-order only in user code) *)
- | Typ_tup of list typ (* Tuple type *)
+type typ_aux = (* type expressions, of kind $Type$ *)
+ | Typ_wild (* unspecified type *)
+ | Typ_id of id (* defined type *)
+ | Typ_var of kid (* type variable *)
+ | Typ_fn of typ * typ * effect (* Function (first-order only in user code) *)
+ | Typ_tup of list typ (* Tuple *)
| Typ_app of id * list typ_arg (* type constructor application *)
and typ =
| Typ_aux of typ_aux * l
-and typ_arg_aux = (* Type constructor arguments of all kinds *)
+and typ_arg_aux = (* type constructor arguments of all kinds *)
| Typ_arg_nexp of nexp
| Typ_arg_typ of typ
| Typ_arg_order of order
@@ -198,7 +198,7 @@ type typschm_aux = (* type scheme *)
| TypSchm_ts of typquant * typ
-type pat_aux 'a = (* Pattern *)
+type pat_aux 'a = (* pattern *)
| P_lit of lit (* literal constant pattern *)
| P_wild (* wildcard *)
| P_as of (pat 'a) * id (* named pattern *)
@@ -215,7 +215,7 @@ type pat_aux 'a = (* Pattern *)
and pat 'a =
| P_aux of (pat_aux 'a) * annot 'a
-and fpat_aux 'a = (* Field pattern *)
+and fpat_aux 'a = (* field pattern *)
| FP_Fpat of id * (pat 'a)
and fpat 'a =
@@ -230,7 +230,7 @@ type reg_id_aux 'a =
| RI_id of id
-type exp_aux 'a = (* Expression *)
+type exp_aux 'a = (* expression *)
| E_block of list (exp 'a) (* sequential block *)
| E_nondet of list (exp 'a) (* nondeterministic block *)
| E_id of id (* identifier *)
@@ -285,32 +285,32 @@ and lexp_aux 'a = (* lvalue expression *)
and lexp 'a =
| LEXP_aux of (lexp_aux 'a) * annot 'a
-and fexp_aux 'a = (* Field-expression *)
+and fexp_aux 'a = (* field expression *)
| FE_Fexp of id * (exp 'a)
and fexp 'a =
| FE_aux of (fexp_aux 'a) * annot 'a
-and fexps_aux 'a = (* Field-expression list *)
+and fexps_aux 'a = (* field expression list *)
| FES_Fexps of list (fexp 'a) * bool
and fexps 'a =
| FES_aux of (fexps_aux 'a) * annot 'a
-and opt_default_aux 'a = (* Optional default value for indexed vectors, to define a default value for any unspecified positions in a sparse map *)
+and opt_default_aux 'a = (* optional default value for indexed vector expressions *)
| Def_val_empty
| Def_val_dec of (exp 'a)
and opt_default 'a =
| Def_val_aux of (opt_default_aux 'a) * annot 'a
-and pexp_aux 'a = (* Pattern match *)
+and pexp_aux 'a = (* pattern match *)
| Pat_exp of (pat 'a) * (exp 'a)
and pexp 'a =
| Pat_aux of (pexp_aux 'a) * annot 'a
-and letbind_aux 'a = (* Let binding *)
+and letbind_aux 'a = (* let binding *)
| LB_val_explicit of typschm * (pat 'a) * (exp 'a) (* let, explicit type ((pat 'a) must be total) *)
| LB_val_implicit of (pat 'a) * (exp 'a) (* let, implicit type ((pat 'a) must be total) *)
@@ -322,35 +322,35 @@ type reg_id 'a =
| RI_aux of (reg_id_aux 'a) * annot 'a
-type type_union_aux = (* Type union constructors *)
+type type_union_aux = (* type union constructors *)
| Tu_id of id
| Tu_ty_id of typ * id
-type name_scm_opt_aux = (* Optional variable-naming-scheme specification for variables of defined type *)
+type name_scm_opt_aux = (* optional variable naming-scheme constraint *)
| Name_sect_none
| Name_sect_some of string
-type effect_opt_aux = (* Optional effect annotation for functions *)
+type effect_opt_aux = (* optional effect annotation for functions *)
| Effect_opt_pure (* sugar for empty effect set *)
| Effect_opt_effect of effect
-type funcl_aux 'a = (* Function clause *)
+type funcl_aux 'a = (* function clause *)
| FCL_Funcl of id * (pat 'a) * (exp 'a)
-type rec_opt_aux = (* Optional recursive annotation for functions *)
+type rec_opt_aux = (* optional recursive annotation for functions *)
| Rec_nonrec (* non-recursive *)
| Rec_rec (* recursive *)
-type tannot_opt_aux = (* Optional type annotation for functions *)
+type tannot_opt_aux = (* optional type annotation for functions *)
| Typ_annot_opt_some of typquant * typ
-type alias_spec_aux 'a = (* Register alias expression forms *)
+type alias_spec_aux 'a = (* register alias expression forms *)
| AL_subreg of (reg_id 'a) * id
| AL_bit of (reg_id 'a) * (exp 'a)
| AL_slice of (reg_id 'a) * (exp 'a) * (exp 'a)
@@ -394,28 +394,28 @@ type alias_spec 'a =
| AL_aux of (alias_spec_aux 'a) * annot 'a
-type default_spec_aux 'a = (* Default kinding or typing assumption *)
- | DT_kind of base_kind * kid
+type default_spec_aux 'a = (* default kinding or typing assumption *)
| DT_order of order
+ | DT_kind of base_kind * kid
| DT_typ of typschm * id
-type type_def_aux 'a = (* Type definition body *)
+type type_def_aux 'a = (* type definition body *)
| TD_abbrev of id * name_scm_opt * typschm (* type abbreviation *)
| TD_record of id * name_scm_opt * typquant * list (typ * id) * bool (* struct type definition *)
- | TD_variant of id * name_scm_opt * typquant * list type_union * bool (* union type definition *)
+ | TD_variant of id * name_scm_opt * typquant * list type_union * bool (* tagged union type definition *)
| TD_enum of id * name_scm_opt * list id * bool (* enumeration type definition *)
| TD_register of id * nexp * nexp * list (index_range * id) (* register mutable bitfield type definition *)
-type val_spec_aux 'a = (* Value type specification *)
- | VS_val_spec of typschm * id
- | VS_extern_no_rename of typschm * id
- | VS_extern_spec of typschm * id * string (* Specify the type and id of a function from Lem, where the string must provide an explicit path to the required function but will not be checked *)
+type val_spec_aux 'a = (* value type specification *)
+ | VS_val_spec of typschm * id (* specify the type of an upcoming definition *)
+ | VS_extern_no_rename of typschm * id (* specify the type of an external function *)
+ | VS_extern_spec of typschm * id * string (* specify the type of a function from Lem *)
-type kind_def_aux 'a = (* Definition body for elements of kind; many are shorthands for type\_defs *)
- | KD_nabbrev of kind * id * name_scm_opt * nexp (* nexp abbreviation *)
+type kind_def_aux 'a = (* Definition body for elements of kind *)
+ | KD_nabbrev of kind * id * name_scm_opt * nexp (* Nat-expression abbreviation *)
| KD_abbrev of kind * id * name_scm_opt * typschm (* type abbreviation *)
| KD_record of kind * id * name_scm_opt * typquant * list (typ * id) * bool (* struct type definition *)
| KD_variant of kind * id * name_scm_opt * typquant * list type_union * bool (* union type definition *)
@@ -423,8 +423,7 @@ type kind_def_aux 'a = (* Definition body for elements of kind; many are shorth
| KD_register of kind * id * nexp * nexp * list (index_range * id) (* register mutable bitfield type definition *)
-type scattered_def_aux 'a = (* Function and type union definitions that can be spread across
- a file. Each one must end in $id$ *)
+type scattered_def_aux 'a = (* scattered function and union type definitions *)
| SD_scattered_function of rec_opt * tannot_opt * effect_opt * id (* scattered function definition header *)
| SD_scattered_funcl of (funcl 'a) (* scattered function definition clause *)
| SD_scattered_variant of id * name_scm_opt * typquant (* scattered union definition header *)
@@ -432,11 +431,11 @@ type scattered_def_aux 'a = (* Function and type union definitions that can be
| SD_scattered_end of id (* scattered definition end *)
-type fundef_aux 'a = (* Function definition *)
+type fundef_aux 'a = (* function definition *)
| FD_function of rec_opt * tannot_opt * effect_opt * list (funcl 'a)
-type dec_spec_aux 'a = (* Register declarations *)
+type dec_spec_aux 'a = (* register declarations *)
| DEC_reg of typ * id
| DEC_alias of id * (alias_spec 'a)
| DEC_typ_alias of typ * id * (alias_spec 'a)
@@ -470,11 +469,11 @@ type dec_spec 'a =
| DEC_aux of (dec_spec_aux 'a) * annot 'a
-type dec_comm 'a = (* Top-level generated comments *)
+type dec_comm 'a = (* top-level generated comments *)
| DC_comm of string (* generated unstructured comment *)
| DC_comm_struct of (def 'a) (* generated structured comment *)
-and def 'a = (* Top-level definition *)
+and def 'a = (* top-level definition *)
| DEF_kind of (kind_def 'a) (* definition of named kind identifiers *)
| DEF_type of (type_def 'a) (* type definition *)
| DEF_fundef of (fundef 'a) (* function definition *)
@@ -486,7 +485,7 @@ and def 'a = (* Top-level definition *)
| DEF_comm of (dec_comm 'a) (* generated comments *)
-type defs 'a = (* Definition sequence *)
+type defs 'a = (* definition sequence *)
| Defs of list (def 'a)