* http://cs.unibo.it/helm/.
*)
-exception NotImplemented;;
+type anntypes =
+ {annsynthesized : Cic.annterm ; annexpected : Cic.annterm option}
+;;
+
+let gen_id seed =
+ let res = "i" ^ string_of_int !seed in
+ incr seed ;
+ res
+;;
let fresh_id seed ids_to_terms ids_to_father_ids =
fun father t ->
- let res = "i" ^ string_of_int !seed in
- incr seed ;
+ let res = gen_id seed in
Hashtbl.add ids_to_father_ids res father ;
Hashtbl.add ids_to_terms res t ;
res
;;
+let source_id_of_id id = "#source#" ^ id;;
+
exception NotEnoughElements;;
exception NameExpected;;
;;
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 idrefs 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 rec aux computeinnertypes father context tt =
- let fresh_id'' = fresh_id' father tt in
- let aux' = aux true (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 idrefs 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 poort. As a very weak *)
+(*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 =
- CicReduction.whd context (T.type_of_aux' metasenv context tt)
+ let {D.synthesized = synthesized; D.expected = expected} =
+ if computeinnertypes then
+ 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. *)
+ {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 idrefs expectedty'),
+ true
+ in
+ Some
+ {annsynthesized =
+ aux false (Some fresh_id'') context idrefs 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'', List.nth idrefs (n-1), n, id)
+ | C.Var (uri,exp_named_subst) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ let exp_named_subst' =
+ List.map
+ (function i,t -> i, (aux' context idrefs t)) exp_named_subst
+ in
+ C.AVar (fresh_id'', uri,exp_named_subst')
+ | 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 idrefs 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 idrefs v, aux' context idrefs t)
+ | C.Prod (n,s,t) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id''
+ (string_of_sort innertype) ;
+ let sourcetype = T.type_of_aux' metasenv context s in
+ Hashtbl.add ids_to_inner_sorts (source_id_of_id fresh_id'')
+ (string_of_sort sourcetype) ;
+ let n' =
+ match n with
+ C.Anonymous -> n
+ | C.Name n' ->
+ if D.does_not_occur 1 t then
+ C.Anonymous
+ else
+ C.Name n'
+ in
+ C.AProd
+ (fresh_id'', n', aux' context idrefs s,
+ aux' ((Some (n, C.Decl s))::context) (fresh_id''::idrefs) t)
+ | C.Lambda (n,s,t) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ let sourcetype = T.type_of_aux' metasenv context s in
+ Hashtbl.add ids_to_inner_sorts (source_id_of_id fresh_id'')
+ (string_of_sort sourcetype) ;
+ 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 idrefs s,
+ aux' ((Some (n, C.Decl s)::context)) (fresh_id''::idrefs) 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 idrefs s,
+ aux' ((Some (n, C.Def s))::context) (fresh_id''::idrefs) 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 idrefs) l)
+ | C.Const (uri,exp_named_subst) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ let exp_named_subst' =
+ List.map
+ (function i,t -> i, (aux' context idrefs t)) exp_named_subst
+ in
+ C.AConst (fresh_id'', uri, exp_named_subst')
+ | C.MutInd (uri,tyno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function i,t -> i, (aux' context idrefs t)) exp_named_subst
+ in
+ C.AMutInd (fresh_id'', uri, tyno, exp_named_subst')
+ | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
+ Hashtbl.add ids_to_inner_sorts fresh_id'' innersort ;
+ if innersort = "Prop" && expected_available then
+ add_inner_type fresh_id'' ;
+ let exp_named_subst' =
+ List.map
+ (function i,t -> i, (aux' context idrefs t)) exp_named_subst
+ in
+ C.AMutConstruct (fresh_id'', uri, tyno, consno, exp_named_subst')
+ | C.MutCase (uri, 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, tyno, aux' context idrefs outty,
+ aux' context idrefs term, List.map (aux' context idrefs) patterns)
+ | C.Fix (funno, funs) ->
+ let fresh_idrefs =
+ List.map (function _ -> gen_id seed) funs in
+ let new_idrefs = List.rev fresh_idrefs @ idrefs in
+ 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.map2
+ (fun id (name, indidx, ty, bo) ->
+ (id, name, indidx, aux' context idrefs ty,
+ aux' (tys@context) new_idrefs bo)
+ ) fresh_idrefs funs
+ )
+ | C.CoFix (funno, funs) ->
+ let fresh_idrefs =
+ List.map (function _ -> gen_id seed) funs in
+ let new_idrefs = List.rev fresh_idrefs @ idrefs in
+ 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.map2
+ (fun id (name, ty, bo) ->
+ (id, name, aux' context idrefs ty,
+ aux' (tys@context) new_idrefs bo)
+ ) fresh_idrefs funs
+ )
+ in
+ aux true None context idrefs t
;;
-let acic_of_cic_context metasenv context t =
+let acic_of_cic_context metasenv context idrefs t =
let ids_to_terms = Hashtbl.create 503 in
let ids_to_father_ids = Hashtbl.create 503 in
let ids_to_inner_sorts = Hashtbl.create 503 in
let ids_to_inner_types = Hashtbl.create 503 in
let seed = ref 0 in
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 idrefs t,
ids_to_terms, ids_to_father_ids, ids_to_inner_sorts, ids_to_inner_types
;;
-exception Found of (Cic.name * Cic.context_entry) list;;
-
-exception NotImplemented;;
-
let acic_object_of_cic_object obj =
let module C = Cic in
let ids_to_terms = Hashtbl.create 503 in
let ids_to_father_ids = Hashtbl.create 503 in
let ids_to_inner_sorts = Hashtbl.create 503 in
let ids_to_inner_types = Hashtbl.create 503 in
+ let ids_to_conjectures = Hashtbl.create 11 in
+ let ids_to_hypotheses = Hashtbl.create 127 in
+ let hypotheses_seed = ref 0 in
+ let conjectures_seed = ref 0 in
let seed = ref 0 in
let acic_term_of_cic_term_context' =
acic_of_cic_context' seed ids_to_terms ids_to_father_ids ids_to_inner_sorts
ids_to_inner_types in
- let acic_term_of_cic_term' = acic_term_of_cic_term_context' [] [] in
+ let acic_term_of_cic_term' = acic_term_of_cic_term_context' [] [] [] in
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
+ C.Constant (id,Some bo,ty,params) ->
+ let abo = acic_term_of_cic_term' bo (Some ty) in
+ let aty = acic_term_of_cic_term' ty None in
+ C.AConstant
+ ("mettereaposto",Some "mettereaposto2",id,Some abo,aty, params)
+ | C.Constant (id,None,ty,params) ->
+ let aty = acic_term_of_cic_term' ty None in
+ C.AConstant
+ ("mettereaposto",None,id,None,aty, params)
+ | C.Variable (id,bo,ty,params) ->
+ let abo =
+ match bo with
+ None -> None
+ | Some bo -> Some (acic_term_of_cic_term' bo (Some ty))
in
- C.ADefinition ("mettereaposto",id,abo,aty,(Cic.Actual params))
- | C.Axiom (id,ty,params) -> raise NotImplemented
- | C.Variable (id,bo,ty) -> raise NotImplemented
- | C.CurrentProof (id,conjectures,bo,ty) ->
+ let aty = acic_term_of_cic_term' ty None in
+ C.AVariable
+ ("mettereaposto",id,abo,aty, params)
+ | C.CurrentProof (id,conjectures,bo,ty,params) ->
let aconjectures =
List.map
- (function (i,canonical_context,term) ->
- let acanonical_context =
- let rec aux =
- function
- [] -> []
- | (Some (n,C.Decl t))::tl ->
- let at =
- acic_term_of_cic_term_context' conjectures tl t
- in
- Some (n,C.ADecl at)::(aux tl)
- | (Some (n,C.Def t))::tl ->
- let at =
- acic_term_of_cic_term_context' conjectures tl t
- in
- Some (n,C.ADef at)::(aux tl)
- | None::tl -> None::(aux tl)
- in
- aux canonical_context
- in
- let aterm =
- acic_term_of_cic_term_context' conjectures canonical_context term
+ (function (i,canonical_context,term) as conjecture ->
+ let cid = "c" ^ string_of_int !conjectures_seed in
+ Hashtbl.add ids_to_conjectures cid conjecture ;
+ incr conjectures_seed ;
+ let idrefs',revacanonical_context =
+ let rec aux context idrefs =
+ function
+ [] -> idrefs,[]
+ | hyp::tl ->
+ let hid = "h" ^ string_of_int !hypotheses_seed in
+ let new_idrefs = hid::idrefs in
+ Hashtbl.add ids_to_hypotheses hid hyp ;
+ incr hypotheses_seed ;
+ match hyp with
+ (Some (n,C.Decl t)) ->
+ let final_idrefs,atl =
+ aux (hyp::context) new_idrefs tl in
+ let at =
+ acic_term_of_cic_term_context'
+ conjectures context idrefs t None
+ in
+ final_idrefs,(hid,Some (n,C.ADecl at))::atl
+ | (Some (n,C.Def t)) ->
+ let final_idrefs,atl =
+ aux (hyp::context) new_idrefs tl in
+ let at =
+ acic_term_of_cic_term_context'
+ conjectures context idrefs t None
+ in
+ final_idrefs,(hid,Some (n,C.ADef at))::atl
+ | None ->
+ let final_idrefs,atl =
+ aux (hyp::context) new_idrefs tl
+ in
+ final_idrefs,(hid,None)::atl
+ in
+ aux [] [] (List.rev canonical_context)
in
- (i, acanonical_context,aterm)
+ let aterm =
+ acic_term_of_cic_term_context' conjectures
+ canonical_context idrefs' term None
+ in
+ (cid,i,(List.rev revacanonical_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
- C.ACurrentProof ("mettereaposto",id,aconjectures,abo,aty)
- | C.InductiveDefinition (tys,params,paramsno) -> raise NotImplemented
+ 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","mettereaposto2",id,aconjectures,abo,aty,params)
+ | C.InductiveDefinition (tys,params,paramsno) ->
+ let context =
+ List.map
+ (fun (name,_,arity,_) -> Some (C.Name name, C.Decl arity)) tys in
+ let idrefs = List.map (function _ -> gen_id seed) tys in
+ let atys =
+ List.map2
+ (fun id (name,inductive,ty,cons) ->
+ let acons =
+ List.map
+ (function (name,ty) ->
+ (name,
+ acic_term_of_cic_term_context' [] context idrefs ty None)
+ ) cons
+ in
+ (id,name,inductive,acic_term_of_cic_term' ty None,acons)
+ ) (List.rev idrefs) tys
+ in
+ C.AInductiveDefinition ("mettereaposto",atys,params,paramsno)
in
- aobj,ids_to_terms,ids_to_father_ids,ids_to_inner_sorts,ids_to_inner_types
+ aobj,ids_to_terms,ids_to_father_ids,ids_to_inner_sorts,ids_to_inner_types,
+ ids_to_conjectures,ids_to_hypotheses
;;
projects / helm.git / blobdiff