--- /dev/null
+(* Copyright (C) 2002, 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/.
+ *)
+
+(* $Id$ *)
+
+exception Bad_pattern of string Lazy.t
+
+let new_meta_of_proof ~proof:(_, metasenv, _, _) =
+ CicMkImplicit.new_meta metasenv []
+
+let subst_meta_in_proof proof meta term newmetasenv =
+ let uri,metasenv,bo,ty = proof in
+ (* empty context is ok for term since it wont be used by apply_subst *)
+ (* hack: since we do not know the context and the type of term, we
+ create a substitution with cc =[] and type = Implicit; they will be
+ in any case dropped by apply_subst, but it would be better to rewrite
+ the code. Cannot we just use apply_subst_metasenv, etc. ?? *)
+ let subst_in = CicMetaSubst.apply_subst [meta,([], term,Cic.Implicit None)] in
+ let metasenv' =
+ newmetasenv @ (List.filter (function (m,_,_) -> m <> meta) metasenv)
+ in
+ let metasenv'' =
+ List.map
+ (function i,canonical_context,ty ->
+ let canonical_context' =
+ List.map
+ (function
+ Some (n,Cic.Decl s) -> Some (n,Cic.Decl (subst_in s))
+ | Some (n,Cic.Def (s,None)) -> Some (n,Cic.Def (subst_in s,None))
+ | None -> None
+ | Some (n,Cic.Def (bo,Some ty)) ->
+ Some (n,Cic.Def (subst_in bo,Some (subst_in ty)))
+ ) canonical_context
+ in
+ i,canonical_context',(subst_in ty)
+ ) metasenv'
+ in
+ let bo' = subst_in bo in
+ (* Metavariables can appear also in the *statement* of the theorem
+ * since the parser does not reject as statements terms with
+ * metavariable therein *)
+ let ty' = subst_in ty in
+ let newproof = uri,metasenv'',bo',ty' in
+ (newproof, metasenv'')
+
+(*CSC: commento vecchio *)
+(* refine_meta_with_brand_new_metasenv meta term subst_in newmetasenv *)
+(* This (heavy) function must be called when a tactic can instantiate old *)
+(* metavariables (i.e. existential variables). It substitues the metasenv *)
+(* of the proof with the result of removing [meta] from the domain of *)
+(* [newmetasenv]. Then it replaces Cic.Meta [meta] with [term] everywhere *)
+(* in the current proof. Finally it applies [apply_subst_replacing] to *)
+(* current proof. *)
+(*CSC: A questo punto perche' passare un bo' gia' istantiato, se tanto poi *)
+(*CSC: ci ripasso sopra apply_subst!!! *)
+(*CSC: Attenzione! Ora questa funzione applica anche [subst_in] a *)
+(*CSC: [newmetasenv]. *)
+let subst_meta_and_metasenv_in_proof proof meta subst_in newmetasenv =
+ let (uri,_,bo,ty) = proof in
+ let bo' = subst_in bo in
+ (* Metavariables can appear also in the *statement* of the theorem
+ * since the parser does not reject as statements terms with
+ * metavariable therein *)
+ let ty' = subst_in ty in
+ let metasenv' =
+ List.fold_right
+ (fun metasenv_entry i ->
+ match metasenv_entry with
+ (m,canonical_context,ty) when m <> meta ->
+ let canonical_context' =
+ List.map
+ (function
+ None -> None
+ | Some (i,Cic.Decl t) -> Some (i,Cic.Decl (subst_in t))
+ | Some (i,Cic.Def (t,None)) ->
+ Some (i,Cic.Def (subst_in t,None))
+ | Some (i,Cic.Def (bo,Some ty)) ->
+ Some (i,Cic.Def (subst_in bo,Some (subst_in ty)))
+ ) canonical_context
+ in
+ (m,canonical_context',subst_in ty)::i
+ | _ -> i
+ ) newmetasenv []
+ in
+ let newproof = uri,metasenv',bo',ty' in
+ (newproof, metasenv')
+
+let compare_metasenvs ~oldmetasenv ~newmetasenv =
+ List.map (function (i,_,_) -> i)
+ (List.filter
+ (function (i,_,_) ->
+ not (List.exists (fun (j,_,_) -> i=j) oldmetasenv)) newmetasenv)
+;;
+
+(** finds the _pointers_ to subterms that are alpha-equivalent to wanted in t *)
+let find_subterms ~subst ~metasenv ~ugraph ~wanted ~context t =
+ let rec find subst metasenv ugraph context w t =
+ try
+ let subst,metasenv,ugraph =
+ CicUnification.fo_unif_subst subst context metasenv w t ugraph
+ in
+ subst,metasenv,ugraph,[context,t]
+ with
+ CicUnification.UnificationFailure _
+ | CicUnification.Uncertain _ ->
+ match t with
+ | Cic.Sort _
+ | Cic.Rel _ -> subst,metasenv,ugraph,[]
+ | Cic.Meta (_, ctx) ->
+ List.fold_left (
+ fun (subst,metasenv,ugraph,acc) e ->
+ match e with
+ | None -> subst,metasenv,ugraph,acc
+ | Some t ->
+ let subst,metasenv,ugraph,res =
+ find subst metasenv ugraph context w t
+ in
+ subst,metasenv,ugraph, res @ acc
+ ) (subst,metasenv,ugraph,[]) ctx
+ | Cic.Lambda (name, t1, t2)
+ | Cic.Prod (name, t1, t2) ->
+ let subst,metasenv,ugraph,rest1 =
+ find subst metasenv ugraph context w t1 in
+ let subst,metasenv,ugraph,rest2 =
+ find subst metasenv ugraph (Some (name, Cic.Decl t1)::context)
+ (CicSubstitution.lift 1 w) t2
+ in
+ subst,metasenv,ugraph,rest1 @ rest2
+ | Cic.LetIn (name, t1, t2) ->
+ let subst,metasenv,ugraph,rest1 =
+ find subst metasenv ugraph context w t1 in
+ let subst,metasenv,ugraph,rest2 =
+ find subst metasenv ugraph (Some (name, Cic.Def (t1,None))::context)
+ (CicSubstitution.lift 1 w) t2
+ in
+ subst,metasenv,ugraph,rest1 @ rest2
+ | Cic.Appl l ->
+ List.fold_left
+ (fun (subst,metasenv,ugraph,acc) t ->
+ let subst,metasenv,ugraph,res =
+ find subst metasenv ugraph context w t
+ in
+ subst,metasenv,ugraph,res @ acc)
+ (subst,metasenv,ugraph,[]) l
+ | Cic.Cast (t, ty) ->
+ let subst,metasenv,ugraph,rest =
+ find subst metasenv ugraph context w t in
+ let subst,metasenv,ugraph,resty =
+ find subst metasenv ugraph context w ty
+ in
+ subst,metasenv,ugraph,rest @ resty
+ | Cic.Implicit _ -> assert false
+ | Cic.Const (_, esubst)
+ | Cic.Var (_, esubst)
+ | Cic.MutInd (_, _, esubst)
+ | Cic.MutConstruct (_, _, _, esubst) ->
+ List.fold_left
+ (fun (subst,metasenv,ugraph,acc) (_, t) ->
+ let subst,metasenv,ugraph,res =
+ find subst metasenv ugraph context w t
+ in
+ subst,metasenv,ugraph,res @ acc)
+ (subst,metasenv,ugraph,[]) esubst
+ | Cic.MutCase (_, _, outty, indterm, patterns) ->
+ let subst,metasenv,ugraph,resoutty =
+ find subst metasenv ugraph context w outty in
+ let subst,metasenv,ugraph,resindterm =
+ find subst metasenv ugraph context w indterm in
+ let subst,metasenv,ugraph,respatterns =
+ List.fold_left
+ (fun (subst,metasenv,ugraph,acc) p ->
+ let subst,metaseng,ugraph,res =
+ find subst metasenv ugraph context w p
+ in
+ subst,metasenv,ugraph,res @ acc
+ ) (subst,metasenv,ugraph,[]) patterns
+ in
+ subst,metasenv,ugraph,resoutty @ resindterm @ respatterns
+ | Cic.Fix (_, funl) ->
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funl
+ in
+ List.fold_left (
+ fun (subst,metasenv,ugraph,acc) (_, _, ty, bo) ->
+ let subst,metasenv,ugraph,resty =
+ find subst metasenv ugraph context w ty in
+ let subst,metasenv,ugraph,resbo =
+ find subst metasenv ugraph (tys @ context) w bo
+ in
+ subst,metasenv,ugraph, resty @ resbo @ acc
+ ) (subst,metasenv,ugraph,[]) funl
+ | Cic.CoFix (_, funl) ->
+ let tys =
+ List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funl
+ in
+ List.fold_left (
+ fun (subst,metasenv,ugraph,acc) (_, ty, bo) ->
+ let subst,metasenv,ugraph,resty =
+ find subst metasenv ugraph context w ty in
+ let subst,metasenv,ugraph,resbo =
+ find subst metasenv ugraph (tys @ context) w bo
+ in
+ subst,metasenv,ugraph, resty @ resbo @ acc
+ ) (subst,metasenv,ugraph,[]) funl
+ in
+ find subst metasenv ugraph context wanted t
+
+let select_in_term ~metasenv ~context ~ugraph ~term ~pattern:(wanted,where) =
+ let add_ctx context name entry = (Some (name, entry)) :: context in
+ let map2 error_msg f l1 l2 =
+ try
+ List.map2 f l1 l2
+ with
+ | Invalid_argument _ -> raise (Bad_pattern (lazy error_msg))
+ in
+ let rec aux context where term =
+ match (where, term) with
+ | Cic.Implicit (Some `Hole), t -> [context,t]
+ | Cic.Implicit (Some `Type), t -> []
+ | Cic.Implicit None,_ -> []
+ | Cic.Meta (_, ctxt1), Cic.Meta (_, ctxt2) ->
+ List.concat
+ (map2 "wrong number of argument in explicit substitution"
+ (fun t1 t2 ->
+ (match (t1, t2) with
+ Some t1, Some t2 -> aux context t1 t2
+ | _ -> []))
+ ctxt1 ctxt2)
+ | Cic.Cast (te1, ty1), Cic.Cast (te2, ty2) ->
+ aux context te1 te2 @ aux context ty1 ty2
+ | Cic.Prod (Cic.Anonymous, s1, t1), Cic.Prod (name, s2, t2)
+ | Cic.Lambda (Cic.Anonymous, s1, t1), Cic.Lambda (name, s2, t2) ->
+ aux context s1 s2 @ aux (add_ctx context name (Cic.Decl s2)) t1 t2
+ | Cic.Prod (Cic.Name n1, s1, t1),
+ Cic.Prod ((Cic.Name n2) as name , s2, t2)
+ | Cic.Lambda (Cic.Name n1, s1, t1),
+ Cic.Lambda ((Cic.Name n2) as name, s2, t2) when n1 = n2->
+ aux context s1 s2 @ aux (add_ctx context name (Cic.Decl s2)) t1 t2
+ | Cic.Prod (name1, s1, t1), Cic.Prod (name2, s2, t2)
+ | Cic.Lambda (name1, s1, t1), Cic.Lambda (name2, s2, t2) -> []
+ | Cic.LetIn (Cic.Anonymous, s1, t1), Cic.LetIn (name, s2, t2) ->
+ aux context s1 s2 @ aux (add_ctx context name (Cic.Def (s2,None))) t1 t2
+ | Cic.LetIn (Cic.Name n1, s1, t1),
+ Cic.LetIn ((Cic.Name n2) as name, s2, t2) when n1 = n2->
+ aux context s1 s2 @ aux (add_ctx context name (Cic.Def (s2,None))) t1 t2
+ | Cic.LetIn (name1, s1, t1), Cic.LetIn (name2, s2, t2) -> []
+ | Cic.Appl terms1, Cic.Appl terms2 -> auxs context terms1 terms2
+ | Cic.Var (_, subst1), Cic.Var (_, subst2)
+ | Cic.Const (_, subst1), Cic.Const (_, subst2)
+ | Cic.MutInd (_, _, subst1), Cic.MutInd (_, _, subst2)
+ | Cic.MutConstruct (_, _, _, subst1), Cic.MutConstruct (_, _, _, subst2) ->
+ auxs context (List.map snd subst1) (List.map snd subst2)
+ | Cic.MutCase (_, _, out1, t1, pat1), Cic.MutCase (_ , _, out2, t2, pat2) ->
+ aux context out1 out2 @ aux context t1 t2 @ auxs context pat1 pat2
+ | Cic.Fix (_, funs1), Cic.Fix (_, funs2) ->
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs2
+ in
+ List.concat
+ (map2 "wrong number of mutually recursive functions"
+ (fun (_, _, ty1, bo1) (_, _, ty2, bo2) ->
+ aux context ty1 ty2 @ aux (tys @ context) bo1 bo2)
+ funs1 funs2)
+ | Cic.CoFix (_, funs1), Cic.CoFix (_, funs2) ->
+ let tys =
+ List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs2
+ in
+ List.concat
+ (map2 "wrong number of mutually co-recursive functions"
+ (fun (_, ty1, bo1) (_, ty2, bo2) ->
+ aux context ty1 ty2 @ aux (tys @ context) bo1 bo2)
+ funs1 funs2)
+ | x,y ->
+ raise (Bad_pattern
+ (lazy (Printf.sprintf "Pattern %s versus term %s"
+ (CicPp.ppterm x)
+ (CicPp.ppterm y))))
+ and auxs context terms1 terms2 = (* as aux for list of terms *)
+ List.concat (map2 "wrong number of arguments in application"
+ (fun t1 t2 -> aux context t1 t2) terms1 terms2)
+ in
+ let roots =
+ match where with
+ | None -> []
+ | Some where -> aux context where term
+ in
+ match wanted with
+ None -> [],metasenv,ugraph,roots
+ | Some wanted ->
+ let rec find_in_roots =
+ function
+ [] -> [],metasenv,ugraph,[]
+ | (context',where)::tl ->
+ let subst,metasenv,ugraph,tl' = find_in_roots tl in
+ let subst,metasenv,ugraph,found =
+ let wanted, metasenv, ugraph = wanted context' metasenv ugraph in
+ find_subterms ~subst ~metasenv ~ugraph ~wanted ~context:context'
+ where
+ in
+ subst,metasenv,ugraph,found @ tl'
+ in
+ find_in_roots roots
+
+(** create a pattern from a term and a list of subterms.
+* the pattern is granted to have a ? for every subterm that has no selected
+* subterms
+* @param equality equality function used while walking the term. Defaults to
+* physical equality (==) *)
+let pattern_of ?(equality=(==)) ~term terms =
+ let (===) x y = equality x y in
+ let not_found = false, Cic.Implicit None in
+ let rec aux t =
+ match t with
+ | t when List.exists (fun t' -> t === t') terms ->
+ true,Cic.Implicit (Some `Hole)
+ | Cic.Var (uri, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true,Cic.Var (uri, subst)
+ else
+ not_found
+ | Cic.Meta (i, ctxt) ->
+ let b,ctxt =
+ List.fold_right
+ (fun e (b,ctxt) ->
+ match e with
+ None -> b,None::ctxt
+ | Some t -> let bt,t = aux t in b||bt ,Some t::ctxt
+ ) ctxt (false,[])
+ in
+ if b then
+ true,Cic.Meta (i, ctxt)
+ else
+ not_found
+ | Cic.Cast (te, ty) ->
+ let b1,te = aux te in
+ let b2,ty = aux ty in
+ if b1||b2 then true,Cic.Cast (te, ty)
+ else
+ not_found
+ | Cic.Prod (name, s, t) ->
+ let b1,s = aux s in
+ let b2,t = aux t in
+ if b1||b2 then
+ true, Cic.Prod (name, s, t)
+ else
+ not_found
+ | Cic.Lambda (name, s, t) ->
+ let b1,s = aux s in
+ let b2,t = aux t in
+ if b1||b2 then
+ true, Cic.Lambda (name, s, t)
+ else
+ not_found
+ | Cic.LetIn (name, s, t) ->
+ let b1,s = aux s in
+ let b2,t = aux t in
+ if b1||b2 then
+ true, Cic.LetIn (name, s, t)
+ else
+ not_found
+ | Cic.Appl terms ->
+ let b,terms =
+ List.fold_right
+ (fun t (b,terms) ->
+ let bt,t = aux t in
+ b||bt,t::terms
+ ) terms (false,[])
+ in
+ if b then
+ true,Cic.Appl terms
+ else
+ not_found
+ | Cic.Const (uri, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true, Cic.Const (uri, subst)
+ else
+ not_found
+ | Cic.MutInd (uri, tyno, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true, Cic.MutInd (uri, tyno, subst)
+ else
+ not_found
+ | Cic.MutConstruct (uri, tyno, consno, subst) ->
+ let b,subst = aux_subst subst in
+ if b then
+ true, Cic.MutConstruct (uri, tyno, consno, subst)
+ else
+ not_found
+ | Cic.MutCase (uri, tyno, outty, t, pat) ->
+ let b1,outty = aux outty in
+ let b2,t = aux t in
+ let b3,pat =
+ List.fold_right
+ (fun t (b,pat) ->
+ let bt,t = aux t in
+ bt||b,t::pat
+ ) pat (false,[])
+ in
+ if b1 || b2 || b3 then
+ true, Cic.MutCase (uri, tyno, outty, t, pat)
+ else
+ not_found
+ | Cic.Fix (funno, funs) ->
+ let b,funs =
+ List.fold_right
+ (fun (name, i, ty, bo) (b,funs) ->
+ let b1,ty = aux ty in
+ let b2,bo = aux bo in
+ b||b1||b2, (name, i, ty, bo)::funs) funs (false,[])
+ in
+ if b then
+ true, Cic.Fix (funno, funs)
+ else
+ not_found
+ | Cic.CoFix (funno, funs) ->
+ let b,funs =
+ List.fold_right
+ (fun (name, ty, bo) (b,funs) ->
+ let b1,ty = aux ty in
+ let b2,bo = aux bo in
+ b||b1||b2, (name, ty, bo)::funs) funs (false,[])
+ in
+ if b then
+ true, Cic.CoFix (funno, funs)
+ else
+ not_found
+ | Cic.Rel _
+ | Cic.Sort _
+ | Cic.Implicit _ -> not_found
+ and aux_subst subst =
+ List.fold_right
+ (fun (uri, t) (b,subst) ->
+ let b1,t = aux t in
+ b||b1,(uri, t)::subst) subst (false,[])
+ in
+ snd (aux term)
+
+exception Fail of string Lazy.t
+
+ (** select metasenv conjecture pattern
+ * select all subterms of [conjecture] matching [pattern].
+ * It returns the set of matched terms (that can be compared using physical
+ * equality to the subterms of [conjecture]) together with their contexts.
+ * The representation of the set mimics the ProofEngineTypes.pattern type:
+ * a list of hypothesis (names of) together with the list of its matched
+ * subterms (and their contexts) + the list of matched subterms of the
+ * with their context conclusion. Note: in the result the list of hypothesis
+ * has an entry for each entry in the context and in the same order.
+ * Of course the list of terms (with their context) associated to the
+ * hypothesis name may be empty.
+ *
+ * @raise Bad_pattern
+ * *)
+ let select ~metasenv ~ugraph ~conjecture:(_,context,ty)
+ ~(pattern: (Cic.term, Cic.lazy_term) ProofEngineTypes.pattern)
+ =
+ let what, hyp_patterns, goal_pattern = pattern in
+ let find_pattern_for name =
+ try Some (snd (List.find (fun (n, pat) -> Cic.Name n = name) hyp_patterns))
+ with Not_found -> None in
+ let subst,metasenv,ugraph,ty_terms =
+ select_in_term ~metasenv ~context ~ugraph ~term:ty
+ ~pattern:(what,goal_pattern) in
+ let subst,metasenv,ugraph,context_terms =
+ let subst,metasenv,ugraph,res,_ =
+ (List.fold_right
+ (fun entry (subst,metasenv,ugraph,res,context) ->
+ match entry with
+ None -> subst,metasenv,ugraph,(None::res),(None::context)
+ | Some (name,Cic.Decl term) ->
+ (match find_pattern_for name with
+ | None ->
+ subst,metasenv,ugraph,((Some (`Decl []))::res),(entry::context)
+ | Some pat ->
+ let subst,metasenv,ugraph,terms =
+ select_in_term ~metasenv ~context ~ugraph ~term
+ ~pattern:(what, Some pat)
+ in
+ subst,metasenv,ugraph,((Some (`Decl terms))::res),
+ (entry::context))
+ | Some (name,Cic.Def (bo, ty)) ->
+ (match find_pattern_for name with
+ | None ->
+ let selected_ty=match ty with None -> None | Some _ -> Some [] in
+ subst,metasenv,ugraph,((Some (`Def ([],selected_ty)))::res),
+ (entry::context)
+ | Some pat ->
+ let subst,metasenv,ugraph,terms_bo =
+ select_in_term ~metasenv ~context ~ugraph ~term:bo
+ ~pattern:(what, Some pat) in
+ let subst,metasenv,ugraph,terms_ty =
+ match ty with
+ None -> subst,metasenv,ugraph,None
+ | Some ty ->
+ let subst,metasenv,ugraph,res =
+ select_in_term ~metasenv ~context ~ugraph ~term:ty
+ ~pattern:(what, Some pat)
+ in
+ subst,metasenv,ugraph,Some res
+ in
+ subst,metasenv,ugraph,((Some (`Def (terms_bo,terms_ty)))::res),
+ (entry::context))
+ ) context (subst,metasenv,ugraph,[],[]))
+ in
+ subst,metasenv,ugraph,res
+ in
+ subst,metasenv,ugraph,context_terms, ty_terms
+
+(** locate_in_term equality what where context
+* [what] must match a subterm of [where] according to [equality]
+* It returns the matched terms together with their contexts in [where]
+* [equality] defaults to physical equality
+* [context] must be the context of [where]
+*)
+let locate_in_term ?(equality=(fun _ -> (==))) what ~where context =
+ let add_ctx context name entry =
+ (Some (name, entry)) :: context in
+ let rec aux context where =
+ if equality context what where then [context,where]
+ else
+ match where with
+ | Cic.Implicit _
+ | Cic.Meta _
+ | Cic.Rel _
+ | Cic.Sort _
+ | Cic.Var _
+ | Cic.Const _
+ | Cic.MutInd _
+ | Cic.MutConstruct _ -> []
+ | Cic.Cast (te, ty) -> aux context te @ aux context ty
+ | Cic.Prod (name, s, t)
+ | Cic.Lambda (name, s, t) ->
+ aux context s @ aux (add_ctx context name (Cic.Decl s)) t
+ | Cic.LetIn (name, s, t) ->
+ aux context s @ aux (add_ctx context name (Cic.Def (s,None))) t
+ | Cic.Appl tl -> auxs context tl
+ | Cic.MutCase (_, _, out, t, pat) ->
+ aux context out @ aux context t @ auxs context pat
+ | Cic.Fix (_, funs) ->
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs
+ in
+ List.concat
+ (List.map
+ (fun (_, _, ty, bo) ->
+ aux context ty @ aux (tys @ context) bo)
+ funs)
+ | Cic.CoFix (_, funs) ->
+ let tys =
+ List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs
+ in
+ List.concat
+ (List.map
+ (fun (_, ty, bo) ->
+ aux context ty @ aux (tys @ context) bo)
+ funs)
+ and auxs context tl = (* as aux for list of terms *)
+ List.concat (List.map (fun t -> aux context t) tl)
+ in
+ aux context where
+
+(** locate_in_conjecture equality what where context
+* [what] must match a subterm of [where] according to [equality]
+* It returns the matched terms together with their contexts in [where]
+* [equality] defaults to physical equality
+* [context] must be the context of [where]
+*)
+let locate_in_conjecture ?(equality=fun _ -> (==)) what (_,context,ty) =
+ let context,res =
+ List.fold_right
+ (fun entry (context,res) ->
+ match entry with
+ None -> entry::context, res
+ | Some (_, Cic.Decl ty) ->
+ let res = res @ locate_in_term what ~where:ty context in
+ let context' = entry::context in
+ context',res
+ | Some (_, Cic.Def (bo,ty)) ->
+ let res = res @ locate_in_term what ~where:bo context in
+ let res =
+ match ty with
+ None -> res
+ | Some ty ->
+ res @ locate_in_term what ~where:ty context in
+ let context' = entry::context in
+ context',res
+ ) context ([],[])
+ in
+ res @ locate_in_term what ~where:ty context
+
+(* saturate_term newmeta metasenv context ty goal_arity *)
+(* Given a type [ty] (a backbone), it returns its suffix of length *)
+(* [goal_arity] head and a new metasenv in which there is new a META for each *)
+(* hypothesis, a list of arguments for the new applications and the index of *)
+(* the last new META introduced. The nth argument in the list of arguments is *)
+(* just the nth new META. *)
+let saturate_term newmeta metasenv context ty goal_arity =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ assert (goal_arity >= 0);
+ let rec aux newmeta ty =
+ match ty with
+ C.Cast (he,_) -> aux newmeta he
+(* CSC: patch to generate ?1 : ?2 : Type in place of ?1 : Type to simulate ?1 :< Type
+ (* If the expected type is a Type, then also Set is OK ==>
+ * we accept any term of type Type *)
+ (*CSC: BUG HERE: in this way it is possible for the term of
+ * type Type to be different from a Sort!!! *)
+ | C.Prod (name,(C.Sort (C.Type _) as s),t) ->
+ (* TASSI: ask CSC if BUG HERE refers to the C.Cast or C.Propd case *)
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
+ let newargument = C.Meta (newmeta+1,irl) in
+ let (res,newmetasenv,arguments,lastmeta) =
+ aux (newmeta + 2) (S.subst newargument t)
+ in
+ res,
+ (newmeta,[],s)::(newmeta+1,context,C.Meta (newmeta,[]))::newmetasenv,
+ newargument::arguments,lastmeta
+*)
+ | C.Prod (name,s,t) ->
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
+ let newargument = C.Meta (newmeta,irl) in
+ let res,newmetasenv,arguments,lastmeta,prod_no =
+ aux (newmeta + 1) (S.subst newargument t)
+ in
+ if prod_no + 1 = goal_arity then
+ let head = CicReduction.normalize ~delta:false context ty in
+ head,[],[],lastmeta,goal_arity + 1
+ else
+ (** NORMALIZE RATIONALE
+ * we normalize the target only NOW since we may be in this case:
+ * A1 -> A2 -> T where T = (\lambda x.A3 -> P) k
+ * and we want a mesasenv with ?1:A1 and ?2:A2 and not
+ * ?1, ?2, ?3 (that is the one we whould get if we start from the
+ * beta-normalized A1 -> A2 -> A3 -> P **)
+ let s' = CicReduction.normalize ~delta:false context s in
+ res,(newmeta,context,s')::newmetasenv,newargument::arguments,
+ lastmeta,prod_no + 1
+ | t ->
+ let head = CicReduction.normalize ~delta:false context t in
+ match CicReduction.whd context head with
+ C.Prod _ as head' -> aux newmeta head'
+ | _ -> head,[],[],newmeta,0
+ in
+ (* WARNING: here we are using the invariant that above the most *)
+ (* recente new_meta() there are no used metas. *)
+ let res,newmetasenv,arguments,lastmeta,_ = aux newmeta ty in
+ res,metasenv @ newmetasenv,arguments,lastmeta
+
+let lookup_type metasenv context hyp =
+ let rec aux p = function
+ | Some (Cic.Name name, Cic.Decl t) :: _ when name = hyp -> p, t
+ | Some (Cic.Name name, Cic.Def (_, Some t)) :: _ when name = hyp -> p, t
+ | Some (Cic.Name name, Cic.Def (u, _)) :: tail when name = hyp ->
+ p, fst (CicTypeChecker.type_of_aux' metasenv tail u CicUniv.empty_ugraph)
+ | _ :: tail -> aux (succ p) tail
+ | [] -> raise (ProofEngineTypes.Fail (lazy "lookup_type: not premise in the current goal"))
+ in
+ aux 1 context
projects / helm.git / blobdiff