exception NotImplemented;;
+type anntypes =
+ {annsynthesized : Cic.annterm ; annexpected : Cic.annterm option}
+;;
+
let fresh_id seed ids_to_terms ids_to_father_ids =
fun father t ->
let res = "i" ^ string_of_int !seed in
;;
let acic_of_cic_context' seed ids_to_terms ids_to_father_ids ids_to_inner_sorts
- ids_to_inner_types metasenv context t
+ ids_to_inner_types metasenv context t expectedty
=
+ let module D = DoubleTypeInference in
let module T = CicTypeChecker in
let module C = Cic in
let fresh_id' = fresh_id seed ids_to_terms ids_to_father_ids in
- let terms_to_types = DoubleTypeInference.double_type_of metasenv context t in
- let rec aux computeinnertypes father context tt =
- let fresh_id'' = fresh_id' father tt in
- (*CSC: computeinnertypes era true, il che e' proprio sbagliato, no? *)
- let aux' = aux computeinnertypes (Some fresh_id'') in
- (* First of all we compute the inner type and the inner sort *)
- (* of the term. They may be useful in what follows. *)
- (*CSC: This is a very inefficient way of computing inner types *)
- (*CSC: and inner sorts: very deep terms have their types/sorts *)
- (*CSC: computed again and again. *)
- let string_of_sort =
- function
- C.Sort C.Prop -> "Prop"
- | C.Sort C.Set -> "Set"
- | C.Sort C.Type -> "Type"
- | _ -> assert false
- in
- let ainnertype,innertype,innersort =
+ let terms_to_types =
+ D.double_type_of metasenv context t expectedty
+ in
+ let rec aux computeinnertypes father context tt =
+ let fresh_id'' = fresh_id' father tt in
+ (*CSC: computeinnertypes era true, il che e' proprio sbagliato, no? *)
+ let aux' = aux computeinnertypes (Some fresh_id'') in
+ (* First of all we compute the inner type and the inner sort *)
+ (* of the term. They may be useful in what follows. *)
+ (*CSC: This is a very inefficient way of computing inner types *)
+ (*CSC: and inner sorts: very deep terms have their types/sorts *)
+ (*CSC: computed again and again. *)
+ let string_of_sort t =
+ match CicReduction.whd context t with
+ C.Sort C.Prop -> "Prop"
+ | C.Sort C.Set -> "Set"
+ | C.Sort C.Type -> "Type"
+ | _ -> assert false
+ in
+ let ainnertypes,innertype,innersort,expected_available =
(*CSC: Here we need the algorithm for Coscoy's double type-inference *)
(*CSC: (expected type + inferred type). Just for now we use the usual *)
(*CSC: type-inference, but the result is very poor. As a very weak *)
(*CSC: patch, I apply whd to the computed type. Full beta *)
(*CSC: reduction would be a much better option. *)
- let innertype =
+ let {D.synthesized = synthesized; D.expected = expected} =
if computeinnertypes then
- let {DoubleTypeInference.synthesized = synthesized} =
- DoubleTypeInference.CicHash.find terms_to_types tt
- in
- synthesized
+ D.CicHash.find terms_to_types tt
else
(* We are already in an inner-type and Coscoy's double *)
(* type inference algorithm has not been applied. *)
- CicReduction.whd context (T.type_of_aux' metasenv context tt)
+ {D.synthesized =
+ CicReduction.whd context (T.type_of_aux' metasenv context tt) ;
+ D.expected = None}
in
- let innersort = T.type_of_aux' metasenv context innertype in
- let ainnertype =
+ let innersort = T.type_of_aux' metasenv context synthesized in
+ let ainnertypes,expected_available =
if computeinnertypes then
- Some (aux false (Some fresh_id'') context innertype)
+ let annexpected,expected_available =
+ match expected with
+ None -> None,false
+ | Some expectedty' ->
+ Some (aux false (Some fresh_id'') context expectedty'),true
+ in
+ Some
+ {annsynthesized =
+ aux false (Some fresh_id'') context synthesized ;
+ annexpected = annexpected
+ }, expected_available
else
- None
+ None,false
in
- ainnertype, innertype, string_of_sort innersort
- in
- let add_inner_type id =
- match ainnertype with
- None -> ()
- | Some ainnertype -> Hashtbl.add ids_to_inner_types id ainnertype
- in
- match tt with
- C.Rel n ->
- let id =
- match get_nth context n with
- (Some (C.Name s,_)) -> s
- | _ -> raise NameExpected
- in
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- C.ARel (fresh_id'', n, id)
- | C.Var uri ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- C.AVar (fresh_id'', uri)
- | C.Meta (n,l) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- C.AMeta (fresh_id'', n,
- (List.map
- (function None -> None | Some t -> Some (aux' context t)) l))
- | C.Sort s -> C.ASort (fresh_id'', s)
- | C.Implicit -> C.AImplicit (fresh_id'')
- | C.Cast (v,t) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- if innersort = "Prop" then
- add_inner_type fresh_id'' ;
- C.ACast (fresh_id'', aux' context v, aux' context t)
- | C.Prod (n,s,t) ->
- Hashtbl.add ids_to_inner_sorts fresh_id''
- (string_of_sort innertype) ;
- C.AProd
- (fresh_id'', n, aux' context s,
- aux' ((Some (n, C.Decl s))::context) t)
- | C.Lambda (n,s,t) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- if innersort = "Prop" then
- begin
- let father_is_lambda =
- match father with
- None -> false
- | Some father' ->
- match Hashtbl.find ids_to_terms father' with
- C.Lambda _ -> true
- | _ -> false
+ ainnertypes,synthesized, string_of_sort innersort, expected_available
+ in
+ let add_inner_type id =
+ match ainnertypes with
+ None -> ()
+ | Some ainnertypes -> Hashtbl.add ids_to_inner_types id ainnertypes
+ in
+ match tt with
+ C.Rel n ->
+ let id =
+ match get_nth context n with
+ (Some (C.Name s,_)) -> s
+ | _ -> raise NameExpected
in
- if not father_is_lambda then
- add_inner_type fresh_id''
- end ;
- C.ALambda
- (fresh_id'',n, aux' context s,
- aux' ((Some (n, C.Decl s)::context)) t)
- | C.LetIn (n,s,t) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- C.ALetIn
- (fresh_id'', n, aux' context s,
- aux' ((Some (n, C.Def s))::context) t)
- | C.Appl l ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- if innersort = "Prop" then
- add_inner_type fresh_id'' ;
- C.AAppl (fresh_id'', List.map (aux' context) l)
- | C.Const (uri,cn) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- C.AConst (fresh_id'', uri, cn)
- | C.Abst _ -> raise NotImplemented
- | C.MutInd (uri,cn,tyno) -> C.AMutInd (fresh_id'', uri, cn, tyno)
- | C.MutConstruct (uri,cn,tyno,consno) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- C.AMutConstruct (fresh_id'', uri, cn, tyno, consno)
- | C.MutCase (uri, cn, tyno, outty, term, patterns) ->
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- if innersort = "Prop" then
- add_inner_type fresh_id'' ;
- C.AMutCase (fresh_id'', uri, cn, tyno, aux' context outty,
- aux' context term, List.map (aux' context) patterns)
- | C.Fix (funno, funs) ->
- let tys =
- List.map (fun (name,_,ty,_) -> Some (C.Name name, C.Decl ty)) funs
- in
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- if innersort = "Prop" then
- add_inner_type fresh_id'' ;
- C.AFix (fresh_id'', funno,
- List.map
- (fun (name, indidx, ty, bo) ->
- (name, indidx, aux' context ty, aux' (tys@context) bo)
- ) funs
- )
- | C.CoFix (funno, funs) ->
- let tys =
- List.map (fun (name,ty,_) -> Some (C.Name name, C.Decl ty)) funs in
- Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
- if innersort = "Prop" then
- add_inner_type fresh_id'' ;
- C.ACoFix (fresh_id'', funno,
- List.map
- (fun (name, ty, bo) ->
- (name, aux' context ty, aux' (tys@context) bo)
- ) funs
- )
- in
- aux true None context t
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ C.ARel (fresh_id'', n, id)
+ | C.Var uri ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ C.AVar (fresh_id'', uri)
+ | C.Meta (n,l) ->
+ let (_,canonical_context,_) =
+ List.find (function (m,_,_) -> n = m) metasenv
+ in
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ C.AMeta (fresh_id'', n,
+ (List.map2
+ (fun ct t ->
+ match (ct, t) with
+ | None, _ -> None
+ | _, Some t -> Some (aux' context t)
+ | Some _, None -> assert false (* due to typing rules *))
+ canonical_context l))
+ | C.Sort s -> C.ASort (fresh_id'', s)
+ | C.Implicit -> C.AImplicit (fresh_id'')
+ | C.Cast (v,t) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ add_inner_type fresh_id'' ;
+ C.ACast (fresh_id'', aux' context v, aux' context t)
+ | C.Prod (n,s,t) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id''
+ (string_of_sort innertype) ;
+ C.AProd
+ (fresh_id'', n, aux' context s,
+ aux' ((Some (n, C.Decl s))::context) t)
+ | C.Lambda (n,s,t) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ begin
+ let father_is_lambda =
+ match father with
+ None -> false
+ | Some father' ->
+ match Hashtbl.find ids_to_terms father' with
+ C.Lambda _ -> true
+ | _ -> false
+ in
+ if (not father_is_lambda) || expected_available then
+ add_inner_type fresh_id''
+ end ;
+ C.ALambda
+ (fresh_id'',n, aux' context s,
+ aux' ((Some (n, C.Decl s)::context)) t)
+ | C.LetIn (n,s,t) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ add_inner_type fresh_id'' ;
+ C.ALetIn
+ (fresh_id'', n, aux' context s,
+ aux' ((Some (n, C.Def s))::context) t)
+ | C.Appl l ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ add_inner_type fresh_id'' ;
+ C.AAppl (fresh_id'', List.map (aux' context) l)
+ | C.Const (uri,cn) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ C.AConst (fresh_id'', uri, cn)
+ | C.MutInd (uri,cn,tyno) -> C.AMutInd (fresh_id'', uri, cn, tyno)
+ | C.MutConstruct (uri,cn,tyno,consno) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ C.AMutConstruct (fresh_id'', uri, cn, tyno, consno)
+ | C.MutCase (uri, cn, tyno, outty, term, patterns) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ add_inner_type fresh_id'' ;
+ C.AMutCase (fresh_id'', uri, cn, tyno, aux' context outty,
+ aux' context term, List.map (aux' context) patterns)
+ | C.Fix (funno, funs) ->
+ let tys =
+ List.map (fun (name,_,ty,_) -> Some (C.Name name, C.Decl ty)) funs
+ in
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ add_inner_type fresh_id'' ;
+ C.AFix (fresh_id'', funno,
+ List.map
+ (fun (name, indidx, ty, bo) ->
+ (name, indidx, aux' context ty, aux' (tys@context) bo)
+ ) funs
+ )
+ | C.CoFix (funno, funs) ->
+ let tys =
+ List.map (fun (name,ty,_) -> Some (C.Name name, C.Decl ty)) funs
+ in
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" then
+ add_inner_type fresh_id'' ;
+ C.ACoFix (fresh_id'', funno,
+ List.map
+ (fun (name, ty, bo) ->
+ (name, aux' context ty, aux' (tys@context) bo)
+ ) funs
+ )
+ in
+ aux true None context t
;;
let acic_of_cic_context metasenv context t =
let aobj =
match obj with
C.Definition (id,bo,ty,params) ->
- let abo = acic_term_of_cic_term' bo in
- let aty = acic_term_of_cic_term' ty
- in
+ let abo = acic_term_of_cic_term' bo (Some ty) in
+ let aty = acic_term_of_cic_term' ty None in
C.ADefinition ("mettereaposto",id,abo,aty,(Cic.Actual params))
| C.Axiom (id,ty,params) -> raise NotImplemented
| C.Variable (id,bo,ty) -> raise NotImplemented
match hyp with
(Some (n,C.Decl t)) ->
let at =
- acic_term_of_cic_term_context' conjectures tl t
+ acic_term_of_cic_term_context' conjectures tl t None
in
(hid,Some (n,C.ADecl at))::(aux tl)
| (Some (n,C.Def t)) ->
let at =
- acic_term_of_cic_term_context' conjectures tl t
+ acic_term_of_cic_term_context' conjectures tl t None
in
(hid,Some (n,C.ADef at))::(aux tl)
| None -> (hid,None)::(aux tl)
aux canonical_context
in
let aterm =
- acic_term_of_cic_term_context' conjectures canonical_context term
+ acic_term_of_cic_term_context' conjectures canonical_context
+ term None
in
(cid,i,acanonical_context,aterm)
) conjectures in
- let abo = acic_term_of_cic_term_context' conjectures [] bo in
- let aty = acic_term_of_cic_term_context' conjectures [] ty in
+ let abo = acic_term_of_cic_term_context' conjectures [] bo (Some ty) in
+ let aty = acic_term_of_cic_term_context' conjectures [] ty None in
C.ACurrentProof ("mettereaposto",id,aconjectures,abo,aty)
| C.InductiveDefinition (tys,params,paramsno) -> raise NotImplemented
in