+++ /dev/null
-(* Copyright (C) 2000, HELM Team.
- *
- * This file is part of HELM, an Hypertextual, Electronic
- * Library of Mathematics, developed at the Computer Science
- * Department, University of Bologna, Italy.
- *
- * HELM is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- *
- * HELM is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with HELM; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- * MA 02111-1307, USA.
- *
- * For details, see the HELM World-Wide-Web page,
- * http://cs.unibo.it/helm/.
- *)
-
-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 = 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;;
-
-(*CSC: cut&paste da cicPp.ml *)
-(* get_nth l n returns the nth element of the list l if it exists or *)
-(* raises NotEnoughElements if l has less than n elements *)
-let rec get_nth l n =
- match (n,l) with
- (1, he::_) -> he
- | (n, he::tail) when n > 1 -> get_nth tail (n-1)
- | (_,_) -> raise NotEnoughElements
-;;
-
-let acic_of_cic_context' seed ids_to_terms ids_to_father_ids ids_to_inner_sorts
- 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 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 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 {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 synthesized in
- let ainnertypes,expected_available =
- if computeinnertypes then
- 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,false
- in
- 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
- 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 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 idrefs t,
- ids_to_terms, ids_to_father_ids, ids_to_inner_sorts, ids_to_inner_types
-;;
-
-let acic_object_of_cic_object obj =
- let module C = Cic in
- let module E = Eta_fixing 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 aobj =
- match obj with
- C.Constant (id,Some bo,ty,params) ->
- let bo' = E.eta_fix [] bo in
- let ty' = E.eta_fix [] ty in
- 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 ty' = E.eta_fix [] ty in
- 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 ty' = E.eta_fix [] ty in
- let abo =
- match bo with
- None -> None
- | Some bo ->
- let bo' = E.eta_fix [] bo in
- Some (acic_term_of_cic_term' bo' (Some ty'))
- in
- 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 conjectures' =
- List.map
- (function (i,canonical_context,term) ->
- let canonical_context' =
- List.map
- (function
- None -> None
- | Some (n, C.Decl t)-> Some (n, C.Decl (E.eta_fix conjectures t))
- | Some (n, C.Def t) -> Some (n, C.Def (E.eta_fix conjectures t))
- ) canonical_context
- in
- let term' = E.eta_fix conjectures term in
- (i,canonical_context',term')
- ) conjectures
- in
- let aconjectures =
- List.map
- (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
- 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 bo' = E.eta_fix conjectures' bo in
- let ty' = E.eta_fix 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","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,
- ids_to_conjectures,ids_to_hypotheses
-;;
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