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authorKathy Gray2014-02-27 14:01:59 +0000
committerKathy Gray2014-02-27 14:01:59 +0000
commitbfe28e3e443fd28e7182cfeff1cf8b5fa5bc4e5a (patch)
tree715adfee820c1b59b0db2fd93f2614b07a69c8c9 /language/l2_rules.ott
parent88a18f8abc20fc1b421d22ed06a75a51bb293414 (diff)
parent7582bed6349cd05d7237168a39d5dad99ede7e38 (diff)
Merge branch 'interp_typed'
Conflicts: src/lem_interp/interp.lem src/lem_interp/run_interp.ml
Diffstat (limited to 'language/l2_rules.ott')
-rw-r--r--language/l2_rules.ott318
1 files changed, 0 insertions, 318 deletions
diff --git a/language/l2_rules.ott b/language/l2_rules.ott
index 7e3efcb7..3bade9d4 100644
--- a/language/l2_rules.ott
+++ b/language/l2_rules.ott
@@ -1,323 +1,5 @@
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Machinery for typing rules %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-embed
-{{ lem
-
-let rec remove_one i l =
- match l with
- | [] -> []
- | i2::l2 -> if i2 = i then l2 else i2::(remove_one i l2)
-end
-
-let rec remove_from l l2 =
- match l2 with
- | [] -> l
- | i::l2' -> remove_from (remove_one i l) l2'
-end
-
-let disjoint s1 s2 = Set.null (s1 inter s2)
-
-let rec disjoint_all sets =
- match sets with
- | [] -> true
- | s1::[] -> true
- | s1::s2::sets -> (disjoint s1 s2) && (disjoint_all (s2::sets))
-end
-}}
-
-
-grammar
-
-k :: 'Ki_' ::=
-{{ com Internal kinds }}
- | K_Typ :: :: typ
- | K_Nat :: :: nat
- | K_Ord :: :: ord
- | K_Efct :: :: efct
- | K_Lam ( k0 .. kn -> k' ) :: :: ctor
- | K_infer :: :: infer {{ com Representing an unknown kind, inferred by context }}
- | K_Abbrev t :: :: abbrev {{ com Not really a kind, but a convenient way of tracking type abbreviations }}
-
-t , u :: 'T_' ::=
-{{ com Internal types }}
- | id :: :: id
- | kid :: :: var
- | t1 -> t2 effect tag S_N :: :: fn {{ com [[S_N]] are constraints for the function, [[tag]] holds generation data }}
- | ( t1 * .... * tn ) :: :: tup
- | id t_args :: :: app
- | register t_args :: :: reg_app
- | t [ t1 / id1 ... tn / idn ] :: :: subst
-
-tag :: 'Tag_' ::=
-{{ com Data indicating where the identifier arises and thus information necessary in compilation }}
- | None :: :: empty
- | Ctor :: :: ctor {{ com Data constructor from a type union }}
- | Extern :: :: extern {{ com External function, specied only with a val statement }}
- | Default :: :: default {{ com Type has come from default declaration, identifier may not be bound locally }}
- | _ :: :: dontcare
-
-ne :: 'Ne_' ::=
- {{ com internal numeric expressions }}
- | kid :: :: var
- | num :: :: const
- | ne1 * ne2 :: :: mult
- | ne1 + ... + nen :: :: add
- | 2 ** ne :: :: exp
- | ( - ne ) :: :: unary
- | zero :: M :: zero
- {{ lem (Ne_const 0) }}
- | bitlength ( bin ) :: M :: cbin
- {{ ocaml (asssert false) }}
- {{ hol ARB }}
- {{ lem (blength [[bin]]) }}
- | bitlength ( hex ) :: M :: chex
- {{ ocaml (assert false) }}
- {{ hol ARB }}
- {{ lem (hlength [[hex]]) }}
- | length ( pat1 ... patn ) :: M :: cpat
- {{ ocaml (assert false) }}
- {{ hol ARB }}
- {{ lem (Ne_const (List.length [[pat1...patn]])) }}
- | length ( exp1 ... expn ) :: M :: cexp
- {{ hol ARB }}
- {{ ocaml (assert false) }}
- {{ lem (Ne_const (List.length [[exp1...expn]])) }}
-
- t_arg :: 't_arg_' ::=
- {{ com Argument to type constructors }}
- | t :: :: typ
- | ne :: :: nexp
- | effect :: :: effect
- | order :: :: order
-
- t_args :: '' ::= {{ lem list t_arg }}
- {{ com Arguments to type constructors }}
- | t_arg1 ... t_argn :: :: T_args
-
- nec :: 'Nec_' ::=
- {{ com Numeric expression constraints }}
- | ne <= ne' :: :: lteq
- | ne = ne' :: :: eq
- | ne >= ne' :: :: gteq
- | kid 'IN' { num1 , ... , numn } :: :: in
-
-S_N {{ tex {\Sigma^{\textsc{N} } } }} :: '' ::= {{ phantom }}
- {{ hol nec list }}
- {{ lem list nec }}
- {{ com nexp constraint lists }}
- | { nec1 , .. , necn } :: :: Sn_concrete
- {{ hol [[nec1 .. necn]] }}
- {{ lem [[nec1 .. necn]] }}
- | S_N1 u+ .. u+ S_Nn :: M :: SN_union
- {{ hol (FOLDR FUNION FEMPTY [[S_N1..S_Nn]]) }}
- {{ lem (List.foldr (++) [] [[S_N1..S_Nn]]) }}
- {{ ocaml (assert false) }}
- | consistent_increase ne1 ne'1 ... nen ne'n :: M :: SN_increasing
- {{ com Generates constraints from pairs of constraints, where the first of each pair is always larger than the sum of the previous pair }}
- {{ ocaml (assert false) }}
- {{ ichl todo }}
- | consistent_decrease ne1 ne'1 ... nen ne'n :: M :: SN_decreasing
- {{ com Generates constraints from pairs of constraints, where the first of each pair is always smaller than the difference of the previous pair }}
- {{ ocaml assert false }}
- {{ ichl todo }}
- | resolve ( S_N ) :: :: resolution
- {{ lem [[S_N]] (* Write constraint solver *) }}
-
-
- E_d {{ tex {\ottnt{E}^{\textsc{d} } } }} :: 'E_d_' ::= {{ phantom }}
- {{ lem definition_env }}
- {{ com Environments storing top level information, such as defined records, enumerations, and kinds }}
- | < E_k , E_r , E_e > :: :: base
- {{ hol arb }}
- {{ lem (Denv [[E_k]] [[E_r]] [[E_e]]) }}
- | empty :: :: empty
- {{ hol arb }}
- {{ lem DenvEmp }}
- | E_d u+ E_d' :: :: union
- {{ hol arb }}
- {{ lem (denv_union [[E_d]] [[E_d']]) }}
-
- kinf :: 'kinf_' ::=
- {{ com Whether a kind is default or from a local binding }}
- | k :: :: k
- | k default :: :: def
-
- tid :: 'tid_' ::=
- {{ com A type identifier or type variable }}
- | id :: :: id
- | kid :: :: var
-
- E_k {{ tex {\ottnt{E}^{\textsc{k} } } }} :: 'E_k_' ::= {{ phantom }}
- {{ hol (tid-> kinf) }}
- {{ lem (map tid kinf) }}
- {{ com Kind environments }}
- | { tid1 |-> kinf1 , .. , tidn |-> kinfn } :: :: concrete
- {{ hol (FOLDR (\(k1,k2) E. E |+ (k1,k2)) FEMPTY [[tid1 kinf1 .. tidn kinfn]]) }}
- {{ lem (List.foldr (fun (x,v) m -> Map.insert x v m) Map.empty [[tid1 kinf1 .. tidn kinfn]]) }}
- | E_k1 u+ .. u+ E_kn :: M :: union
- {{ com In a unioning kinf, {k default} u {k} results in {k} (i.e. the default is locally forgotten) }}
- {{ hol (FOLDR FUNION FEMPTY [[E_k1..E_kn]]) }}
- {{ lem (List.foldr (union) Map.empty [[E_k1..E_kn]]) }}
- {{ ocaml (assert false) }}
- | E_k u- E_k1 .. E_kn :: M :: multi_set_minus
- {{ hol arb }}
- {{ lem (Map.fromList (remove_from (Set_extra.toList (Map.toSet [[E_k]]))
- (Set_extra.toList (Map.toSet (List.foldr (union) Map.empty [[E_k1..E_kn]]))))) }}
- {{ ocaml assert false }}
-
-
- tinf :: 'tinf_' ::=
- {{ com Type variables, type, and constraints, bound to an identifier }}
- | t :: :: typ
- | E_k , S_N , tag , t :: :: quant_typ
-
- field_typs :: 'FT_' ::= {{ phantom }}
- {{ lem list (id * t) }}
- {{ com Record fields }}
- | id1 : t1 , .. , idn : tn :: :: fields
- {{ lem [[id1 t1..idn tn]] }}
-
- E_r {{ tex \ottnt{E}^{\textsc{r} } }} :: 'E_r_' ::= {{ phantom }}
- {{ hol (id*t) |-> tinf) }}
- {{ lem map (list (id*t)) tinf }}
- {{ com Record environments }}
- | { { field_typs1 } |-> tinf1 , .. , { field_typsn } |-> tinfn } :: :: concrete
- {{ hol (FOLDR (\x E. E |+ x) FEMPTY) }}
- {{ lem (List.foldr (fun (x,f) m -> Map.insert x f m) Map.empty [[field_typs1 tinf1..field_typsn tinfn]]) }}
- | E_r1 u+ .. u+ E_rn :: M :: union
- {{ hol (FOLDR FUNION FEMPTY [[E_r1..E_rn]]) }}
- {{ lem (List.foldr (union) Map.empty [[E_r1..E_rn]]) }}
- {{ ocaml (assert false) }}
-
- enumerate_map :: '' ::= {{ phantom }}
- {{ lem (list (nat*id)) }}
- | { num1 |-> id1 ... numn |-> idn } :: :: enum_map
- {{ lem [[num1 id1...numn idn]] }}
-
- E_e {{ tex \ottnt{E}^{\textsc{e} } }} :: 'E_e_' ::= {{ phantom }}
- {{ lem (map t (list (nat*id))) }}
- {{ com Enumeration environments }}
- | { t1 |-> enumerate_map1 , .. , tn |-> enumerate_mapn } :: :: base
- {{ lem (List.foldr (fun (x,f) m -> Map.insert x f m) Map.empty [[t1 enumerate_map1..tn enumerate_mapn]]) }}
- | E_e1 u+ .. u+ E_en :: :: union
- {{ lem (List.foldr (union) Map.empty [[E_e1..E_en]]) }}
-
-
-embed
-{{ lem
- type definition_env =
- | DenvEmp
- | Denv of (map tid kinf) * (map (list (id*t)) tinf) * (map t (list (nat*id)))
-
-}}
-
grammar
- E_t {{ tex {\ottnt{E}^{\textsc{t} } } }} :: 'E_t_' ::= {{ phantom }}
- {{ hol (id |-> tinf) }}
- {{ lem map id tinf }}
- {{ com Type environments }}
- | { id1 |-> tinf1 , .. , idn |-> tinfn } :: :: base
- {{ hol (FOLDR (\x E. E |+ x) FEMPTY [[id1 tinf1 .. idn tinfn]]) }}
- {{ lem (List.foldr (fun (x,f) m -> Map.insert x f m) Map.empty [[id1 tinf1 .. idn tinfn]]) }}
- | ( E_t1 u+ .... u+ E_tn ) :: M :: union
- {{ hol (FOLDR FUNION FEMPTY [[E_t1....E_tn]]) }}
- {{ lem (List.foldr (union) Map.empty [[E_t1....E_tn]]) }}
- {{ ocaml (assert false) }}
- | u+ E_t1 .. E_tn :: M :: multi_union
- {{ hol arb }}
- {{ lem (List.foldr (union) Map.empty [[E_t1..E_tn]]) }}
- {{ ocaml assert false }}
- | E_t u- E_t1 .. E_tn :: M :: multi_set_minus
- {{ hol arb }}
- {{ lem (Map.fromList (remove_from (Set_extra.toList (Map.toSet [[E_t]]))
- (Set_extra.toList (Map.toSet (List.foldr (union) Map.empty [[E_t1..E_tn]]))))) }}
- {{ ocaml assert false }}
- | ( E_t1 inter .... inter E_tn ) :: M :: intersect
- {{ hol arb }}
- {{ lem (List.foldr (fun a b -> (Map.fromList (Set_extra.toList ((Map.toSet a) inter (Map.toSet b))))) Map.empty [[E_t1....E_tn]]) }}
- {{ ocaml (assert false) }}
- | inter E_t1 .. E_tn :: M :: multi_inter
- {{ hol arb }}
- {{ lem (List.foldr (fun a b -> (Map.fromList (Set_extra.toList ((Map.toSet a) inter (Map.toSet b))))) Map.empty [[E_t1..E_tn]]) }}
- {{ ocaml assert false }}
-
-
-ts :: ts_ ::= {{ phantom }}
- {{ lem list t }}
- | t1 , .. , tn :: :: lst
-
-embed
-{{ lem
-let blength (bit) = Ne_const 8
-let hlength (bit) = Ne_const 8
-
- type env =
- | EnvEmp
- | Env of (map id tinf) * definition_env
-
- type inf =
- | Iemp
- | Inf of (list nec) * effect
-
- val denv_union : definition_env -> definition_env -> definition_env
- let denv_union de1 de2 =
- match (de1,de2) with
- | (DenvEmp,de2) -> de2
- | (de1,DenvEmp) -> de1
- | ((Denv ke1 re1 ee1),(Denv ke2 re2 ee2)) ->
- Denv (ke1 union ke2) (re1 union re2) (ee1 union ee2)
- end
-
- val env_union : env -> env -> env
- let env_union e1 e2 =
- match (e1,e2) with
- | (EnvEmp,e2) -> e2
- | (e1,EnvEmp) -> e1
- | ((Env te1 de1),(Env te2 de2)) ->
- Env (te1 union te2) (denv_union de1 de2)
- end
-
-let inf_union i1 i2 =
- match (i1,i2) with
- | (Iemp,i2) -> i2
- | (i1,Iemp) -> i1
- | (Inf n1 e1,Inf n2 e2) -> (Inf (n1++n2) (effect_union e1 e2))
- end
-
-let fresh_kid denv = Var "x" (*TODO When strings can be manipulated, this should actually build a fresh string*)
-
-}}
-
-grammar
-
- E :: '' ::=
- {{ hol ((string,env_body) fmaptree) }}
- {{ lem env }}
- {{ com Definition environment and lexical environment }}
- | < E_t , E_d > :: :: E
- {{ hol arb }}
- {{ lem (Env [[E_t]] [[E_d]]) }}
- | empty :: M :: E_empty
- {{ hol arb }}
- {{ lem EnvEmp }}
- {{ ocaml assert false }}
- | E u+ E' :: :: E_union
- {{ lem (env_union [[E]] [[E']]) }}
-
- I :: '' ::= {{ lem inf }}
- {{ com Information given by type checking an expression }}
- | < S_N , effect > :: :: I
- {{ lem (Inf [[S_N]] [[effect]]) }}
- | Ie :: :: Iempty {{ com Empty constraints, effect }} {{ tex {\ottnt{I}_{\epsilon} } }}
- {{ lem Iemp }}
- | I1 u+ .. u+ In :: :: Iunion {{ com Unions the constraints and effect }}
- {{ lem (List.foldr inf_union Iemp [[I1..In]]) }}
-
-
formula :: formula_ ::=
| judgement :: :: judgement