+++ /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/.
- *)
-
-open HelmLibraryObjects
-
-let rec injection_tac ~term status =
- let (proof, goal) = status in
- let module C = Cic in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let _,metasenv,_,_ = proof in
- let _,context,_ = CicUtil.lookup_meta goal metasenv in
- let termty = (CicTypeChecker.type_of_aux' metasenv context term) in
- (match termty with
- (C.Appl [(C.MutInd (equri, 0, [])) ; tty ; t1 ; t2])
- when (U.eq equri Logic.eq_URI) -> (
- match tty with
- (C.MutInd (turi,typeno,exp_named_subst))
- | (C.Appl (C.MutInd (turi,typeno,exp_named_subst)::_)) -> (
- match t1,t2 with
- ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) ->
- (* raise (ProofEngineTypes.Fail "Injection: nothing to do") ; *) T.id_tac
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::applist1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::applist2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) ->
- let rec traverse_list i l1 l2 =
- match l1,l2 with
- [],[] -> T.id_tac
- | hd1::tl1,hd2::tl2 ->
- T.then_
- ~start:(injection1_tac ~i ~term)
- ~continuation:(traverse_list (i+1) tl1 tl2)
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: i 2 termini hanno in testa lo stesso costruttore, ma applicato a un numero diverso di termini. possibile???") ; T.id_tac
- in traverse_list 1 applist1 applist2
- | ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- | ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::_)))
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::_)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::_)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::_)))
- when (consno1 <> consno2) || (exp_named_subst1 <> exp_named_subst2) ->
- (* raise (ProofEngineTypes.Fail "Injection: not a projectable equality but a discriminable one") ; *) T.id_tac
- | _ -> (* raise (ProofEngineTypes.Fail "Injection: not a projectable equality") ; *) T.id_tac
- )
- | _ -> raise (ProofEngineTypes.Fail "Injection: not a projectable equality")
- )
- | _ -> raise (ProofEngineTypes.Fail "Injection: not an equation")
- ) status
-
-
-and injection1_tac ~term ~i status =
-let (proof, goal) = status in
-(* precondizione: t1 e t2 hanno in testa lo stesso costruttore ma differiscono (o potrebbero differire?) nell'i-esimo parametro del costruttore *)
- let module C = Cic in
- let module S = CicSubstitution in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let _,metasenv,_,_ = proof in
- let _,context,_ = CicUtil.lookup_meta goal metasenv in
- let termty = (CicTypeChecker.type_of_aux' metasenv context term) in
- match termty with (* an equality *)
- (C.Appl [(C.MutInd (equri, 0, [])) ; tty ; t1 ; t2])
- when (U.eq equri Logic.eq_URI) -> (
- match tty with (* some inductive type *)
- (C.MutInd (turi,typeno,exp_named_subst))
- | (C.Appl (C.MutInd (turi,typeno,exp_named_subst)::_)) ->
-prerr_endline ("XXXX term " ^ CicPp.ppterm term) ;
-prerr_endline ("XXXX termty " ^ CicPp.ppterm termty) ;
-prerr_endline ("XXXX t1 " ^ CicPp.ppterm t1) ;
-prerr_endline ("XXXX t2 " ^ CicPp.ppterm t2) ;
-prerr_endline ("XXXX tty " ^ CicPp.ppterm tty) ;
- let t1',t2',consno = (* sono i due sottotermini che differiscono *)
- match t1,t2 with
- ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::applist1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::applist2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) -> (* controllo ridondante *)
- (List.nth applist1 (i-1)),(List.nth applist2 (i-1)),consno2
- | _ -> raise (ProofEngineTypes.Fail "Injection: qui non dovrei capitarci mai")
- in
- let tty' = (CicTypeChecker.type_of_aux' metasenv context t1') in
-prerr_endline ("XXXX tty' " ^ CicPp.ppterm tty') ;
-prerr_endline ("XXXX t1' " ^ CicPp.ppterm t1') ;
-prerr_endline ("XXXX t2' " ^ CicPp.ppterm t2') ;
-prerr_endline ("XXXX consno " ^ string_of_int consno) ;
- let pattern =
- match (CicEnvironment.get_obj turi) with
- C.InductiveDefinition (ind_type_list,_,nr_ind_params_dx) ->
- let _,_,_,constructor_list = (List.nth ind_type_list typeno) in
- let i_constr_id,_ = List.nth constructor_list (consno - 1) in
- List.map
- (function (id,cty) ->
- let reduced_cty = CicReduction.whd context cty in
- let rec aux t k =
- match t with
- C.Prod (_,_,target) when (k <= nr_ind_params_dx) ->
- aux target (k+1)
- | C.Prod (binder,source,target) when (k > nr_ind_params_dx) ->
- let binder' =
- match binder with
- C.Name b -> C.Name b
- | C.Anonymous -> C.Name "y"
- in
- C.Lambda (binder',source,(aux target (k+1)))
- | _ ->
- let nr_param_constr = k - 1 - nr_ind_params_dx in
- if (id = i_constr_id)
- then C.Rel (nr_param_constr - i + 1)
- else S.lift (nr_param_constr + 1) t1' (* + 1 per liftare anche il lambda agguinto esternamente al case *)
- in aux reduced_cty 1
- )
- constructor_list
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: object is not an Inductive Definition: it's imposible")
- in
-prerr_endline ("XXXX cominciamo!") ;
- T.thens
- ~start:(P.cut_tac (C.Appl [(C.MutInd (equri,0,[])) ; tty' ; t1' ; t2']))
- ~continuations:[
- T.then_
- ~start:(injection_tac ~term:(C.Rel 1))
- ~continuation:T.id_tac (* !!! qui devo anche fare clear di term tranne al primo passaggio *)
- ;
- T.then_
- ~start:
- (fun status ->
- let (proof, goal) = status in
- let _,metasenv,_,_ = proof in
- let _,context,gty = CicUtil.lookup_meta goal metasenv in
-prerr_endline ("XXXX goal " ^ string_of_int goal) ;
-prerr_endline ("XXXX gty " ^ CicPp.ppterm gty) ;
-prerr_endline ("XXXX old t1' " ^ CicPp.ppterm t1') ;
-prerr_endline ("XXXX change " ^ CicPp.ppterm (C.Appl [ C.Lambda (C.Name "x", tty, C.MutCase (turi, typeno, (C.Lambda ((C.Name "x"),(S.lift 1 tty),(S.lift 2 tty'))), (C.Rel 1), pattern)); t1])) ;
- let new_t1' =
- match gty with
- (C.Appl (C.MutInd (_,_,_)::arglist)) ->
- List.nth arglist 1
- | _ -> raise (ProofEngineTypes.Fail "Injection: goal after cut is not correct")
- in
-prerr_endline ("XXXX new t1' " ^ CicPp.ppterm new_t1') ;
- P.change_tac
- ~what:new_t1'
- ~with_what:
- (C.Appl [
- C.Lambda (
- C.Name "x", tty,
- C.MutCase (
- turi, typeno,
- (C.Lambda (
- (C.Name "x"),
- (S.lift 1 tty),
- (S.lift 2 tty'))),
- (C.Rel 1), pattern
- )
- );
- t1]
- )
- status
- )
- ~continuation:
- (T.then_
- ~start:(EqualityTactics.rewrite_simpl_tac ~term)
- ~continuation:EqualityTactics.reflexivity_tac
- )
- ]
- status
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not a discriminable equality")
- )
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not an equality")
-;;
-
-
-
-exception TwoDifferentSubtermsFound of int
-
-(* term ha tipo t1=t2; funziona solo se t1 e t2 hanno in testa costruttori
-diversi *)
-
-let discriminate'_tac ~term status =
- let (proof, goal) = status in
- let module C = Cic in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let _,metasenv,_,_ = proof in
- let _,context,_ = CicUtil.lookup_meta goal metasenv in
- let termty = (CicTypeChecker.type_of_aux' metasenv context term) in
- match termty with
- (C.Appl [(C.MutInd (equri, 0, [])) ; tty ; t1 ; t2])
- when (U.eq equri Logic.eq_URI) -> (
- match tty with
- (C.MutInd (turi,typeno,exp_named_subst))
- | (C.Appl (C.MutInd (turi,typeno,exp_named_subst)::_)) ->
-
- let consno2 = (* bruuutto: uso un eccezione per terminare con successo! buuu!! :-/ *)
- try
- let rec traverse t1 t2 =
-prerr_endline ("XXXX t1 " ^ CicPp.ppterm t1) ;
-prerr_endline ("XXXX t2 " ^ CicPp.ppterm t2) ;
- match t1,t2 with
- ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) ->
- 0
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::applist1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::applist2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) ->
- let rec traverse_list l1 l2 =
- match l1,l2 with
- [],[] -> 0
- | hd1::tl1,hd2::tl2 -> traverse hd1 hd2; traverse_list tl1 tl2
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: i 2 termini hanno in testa lo stesso costruttore, ma applicato a un numero diverso di termini. possibile???")
- in traverse_list applist1 applist2
-
- | ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- | ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::_)))
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::_)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::_)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::_)))
- when (consno1 <> consno2) || (exp_named_subst1 <> exp_named_subst2) ->
- raise (TwoDifferentSubtermsFound consno2)
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not a discriminable equality")
- in traverse t1 t2
- with (TwoDifferentSubtermsFound consno2) -> consno2
- in
-prerr_endline ("XXXX consno2 " ^ (string_of_int consno2)) ;
- if consno2 = 0
- then raise (ProofEngineTypes.Fail "Discriminate: Discriminating terms are structurally equal")
- else
-
- let pattern =
- (* a list of "True" except for the element in position consno2 which is "False" *)
- match (CicEnvironment.get_obj turi) with
- C.InductiveDefinition (ind_type_list,_,nr_ind_params) ->
-prerr_endline ("XXXX nth " ^ (string_of_int (List.length ind_type_list)) ^ " " ^ (string_of_int typeno)) ;
- let _,_,_,constructor_list = (List.nth ind_type_list typeno) in
-prerr_endline ("XXXX nth " ^ (string_of_int (List.length constructor_list)) ^ " " ^ (string_of_int consno2)) ;
- let false_constr_id,_ = List.nth constructor_list (consno2 - 1) in
-prerr_endline ("XXXX nth funzionano ") ;
- List.map
- (function (id,cty) ->
- let red_ty = CicReduction.whd context cty in (* dubbio: e' corretto ridurre in questo context ??? *)
- let rec aux t k =
- match t with
- C.Prod (_,_,target) when (k <= nr_ind_params) ->
- aux target (k+1)
- | C.Prod (binder,source,target) when (k > nr_ind_params) ->
- C.Lambda (binder,source,(aux target (k+1)))
- | _ ->
- if (id = false_constr_id)
- then (C.MutInd(Logic.false_URI,0,[]))
- else (C.MutInd(Logic.true_URI,0,[]))
- in aux red_ty 1
- )
- constructor_list
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: object is not an Inductive Definition: it's imposible")
- in
-
- let (proof',goals') =
- EliminationTactics.elim_type_tac
- ~term:(C.MutInd(Logic.false_URI,0,[]))
- status
- in
- (match goals' with
- [goal'] ->
- let _,metasenv',_,_ = proof' in
- let _,context',gty' =
- CicUtil.lookup_meta goal' metasenv'
- in
- T.then_
- ~start:
- (P.change_tac
- ~what:gty'
- ~with_what:
- (C.Appl [
- C.Lambda (
- C.Name "x", tty,
- C.MutCase (
- turi, typeno,
- (C.Lambda ((C.Name "x"),tty,(C.Sort C.Prop))),
- (C.Rel 1), pattern
- )
- );
- t2]
- )
- )
- ~continuation:
- (
-prerr_endline ("XXXX rewrite<-: " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' (C.Appl [(C.MutInd (equri,0,[])) ; tty ; t1 ; t2])));
-prerr_endline ("XXXX rewrite<-: " ^ CicPp.ppterm (C.Appl [(C.MutInd (equri,0,[])) ; tty ; t1 ; t2])) ;
-prerr_endline ("XXXX equri: " ^ U.string_of_uri equri) ;
-prerr_endline ("XXXX tty : " ^ CicPp.ppterm tty) ;
-prerr_endline ("XXXX tt1': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t1)) ;
-prerr_endline ("XXXX tt2': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t2)) ;
-if (CicTypeChecker.type_of_aux' metasenv' context' t1) <> tty then prerr_endline ("XXXX tt1': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t1)) ;
-if (CicTypeChecker.type_of_aux' metasenv' context' t2) <> tty then prerr_endline ("XXXX tt2': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t2)) ;
-if (CicTypeChecker.type_of_aux' metasenv' context' t1) <> (CicTypeChecker.type_of_aux' metasenv' context' t2)
- then prerr_endline ("XXXX tt1': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t1)) ; prerr_endline ("XXXX tt2': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t2)) ;
-prerr_endline ("XXXX rewrite<- " ^ CicPp.ppterm term ^ " : " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' term));
- T.then_
- ~start:(EqualityTactics.rewrite_back_simpl_tac ~term)
- ~continuation:(IntroductionTactics.constructor_tac ~n:1)
- )
- (proof',goal')
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: ElimType False left more (or less) than one goal")
- )
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not a discriminable equality")
- )
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not an equality")
-;;
-
-
-let discriminate_tac ~term status =
- Tacticals.then_
- ~start:(* (injection_tac ~term) *) Tacticals.id_tac
- ~continuation:(discriminate'_tac ~term) (* NOOO!!! non term ma una (qualunque) delle nuove hyp introdotte da inject *)
- status
-;;
-
-
-
-let decide_equality_tac =
-(* il goal e' un termine della forma t1=t2\/~t1=t2; la tattica decide se l'uguaglianza
-e' vera o no e lo risolve *)
- Tacticals.id_tac
-;;
-
-
-
-let compare_tac ~term status = Tacticals.id_tac status
-(*
-(* term is in the form t1=t2; the tactic leaves two goals: in the first you have to *)
-(* demonstrate the goal with the additional hyp that t1=t2, in the second the hyp is ~t1=t2 *)
- let module C = Cic in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let _,metasenv,_,_ = proof in
- let _,context,gty = CicUtil.lookup_meta goal metasenv in
- let termty = (CicTypeChecker.type_of_aux' metasenv context term) in
- match termty with
- (C.Appl [(C.MutInd (uri, 0, [])); _; t1; t2]) when (uri = (U.uri_of_string "cic:/Coq/Init/Logic/eq.ind")) ->
-
- let term' = (* (t1=t2)\/~(t1=t2) *)
- C.Appl [
- (C.MutInd ((U.uri_of_string "cic:/Coq/Init/Logic/or.ind"), 0, [])) ;
- term ;
- C.Appl [
- (C.MutInd ((U.uri_of_string "cic:/Coq/Init/Logic/eq.ind"), 1, [])) ;
- t1 ;
- C.Appl [C.Const ((U.uri_of_string "cic:/Coq/Init/Logic/not.con"), []) ; t2]
- ]
- ]
- in
- T.thens
- ~start:(P.cut_tac ~term:term')
- ~continuations:[
- T.then_ ~start:(P.intros_tac) ~continuation:(P.elim_intros_simpl_tac ~term:(C.Rel 1)) ;
- decide_equality_tac]
- status
- | (C.Appl [(C.MutInd (uri, 0, [])); _; t1; t2]) when (uri = (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind")) ->
- let term' = (* (t1=t2) \/ ~(t1=t2) *)
- C.Appl [
- (C.MutInd ((U.uri_of_string "cic:/Coq/Init/Logic/or.ind"), 0, [])) ;
- term ;
- C.Appl [
- (C.MutInd ((U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind"), 1, [])) ;
- t1 ;
- C.Appl [C.Const ((U.uri_of_string "cic:/Coq/Init/Logic/not.con"), []) ; t2]
- ]
- ]
- in
- T.thens
- ~start:(P.cut_tac ~term:term')
- ~continuations:[
- T.then_ ~start:(P.intros_tac) ~continuation:(P.elim_intros_simpl_tac ~term:(C.Rel 1)) ;
- decide_equality_tac]
- status
- | _ -> raise (ProofEngineTypes.Fail "Compare: Not an equality")
-*)
-;;
-
-
-
-(* DISCRIMINTATE SENZA INJECTION
-
-exception TwoDifferentSubtermsFound of (Cic.term * Cic.term * int)
-
-let discriminate_tac ~term status =
- let module C = Cic in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let (proof, goal) = status in
- let _,metasenv,_,_ = proof in
- let _,context,_ = CicUtil.lookup_meta goal metasenv in
- let termty = (CicTypeChecker.type_of_aux' metasenv context term) in
- match termty with
- (C.Appl [(C.MutInd (equri, 0, [])) ; tty ; t1 ; t2])
- when (U.eq equri (U.uri_of_string "cic:/Coq/Init/Logic/eq.ind"))
- or (U.eq equri (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind")) -> (
- match tty with
- (C.MutInd (turi,typeno,exp_named_subst))
- | (C.Appl (C.MutInd (turi,typeno,exp_named_subst)::_)) ->
-
- let (t1',t2',consno2') = (* bruuutto: uso un eccezione per terminare con successo! buuu!! :-/ *)
- try
- let rec traverse t1 t2 =
-prerr_endline ("XXXX t1 " ^ CicPp.ppterm t1) ;
-prerr_endline ("XXXX t2 " ^ CicPp.ppterm t2) ;
- match t1,t2 with
- ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) ->
- t1,t2,0
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::applist1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::applist2)))
- when (uri1 = uri2) && (typeno1 = typeno2) && (consno1 = consno2) && (exp_named_subst1 = exp_named_subst2) ->
- let rec traverse_list l1 l2 =
- match l1,l2 with
- [],[] -> t1,t2,0
- | hd1::tl1,hd2::tl2 -> traverse hd1 hd2; traverse_list tl1 tl2
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: i 2 termini hanno in testa lo stesso costruttore, ma applicato a un numero diverso di termini. possibile???")
- in traverse_list applist1 applist2
-
- | ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- | ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::_)))
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::_)),
- (C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2)))
- | ((C.Appl ((C.MutConstruct (uri1,typeno1,consno1,exp_named_subst1))::_)),
- (C.Appl ((C.MutConstruct (uri2,typeno2,consno2,exp_named_subst2))::_)))
- when (consno1 <> consno2) || (exp_named_subst1 <> exp_named_subst2) ->
- raise (TwoDifferentSubtermsFound (t1,t2,consno2))
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not a discriminable equality")
- in traverse t1 t2
- with (TwoDifferentSubtermsFound (t1,t2,consno2)) -> (t1,t2,consno2)
- in
-prerr_endline ("XXXX consno2' " ^ (string_of_int consno2')) ;
- if consno2' = 0
- then raise (ProofEngineTypes.Fail "Discriminate: Discriminating terms are structurally equal")
- else
-
- let pattern =
- (* a list of "True" except for the element in position consno2' which is "False" *)
- match (CicEnvironment.get_obj turi) with
- C.InductiveDefinition (ind_type_list,_,nr_ind_params) ->
-prerr_endline ("XXXX nth " ^ (string_of_int (List.length ind_type_list)) ^ " " ^ (string_of_int typeno)) ;
- let _,_,_,constructor_list = (List.nth ind_type_list typeno) in
-prerr_endline ("XXXX nth " ^ (string_of_int (List.length constructor_list)) ^ " " ^ (string_of_int consno2')) ;
- let false_constr_id,_ = List.nth constructor_list (consno2' - 1) in
-prerr_endline ("XXXX nth funzionano ") ;
- List.map
- (function (id,cty) ->
- let red_ty = CicReduction.whd context cty in (* dubbio: e' corretto ridurre in questo context ??? *)
- let rec aux t k =
- match t with
- C.Prod (_,_,target) when (k <= nr_ind_params) ->
- aux target (k+1)
- | C.Prod (binder,source,target) when (k > nr_ind_params) ->
- C.Lambda (binder,source,(aux target (k+1)))
- | _ ->
- if (id = false_constr_id)
- then (C.MutInd (U.uri_of_string "cic:/Coq/Init/Logic/False.ind") 0 [])
- else (C.MutInd (U.uri_of_string "cic:/Coq/Init/Logic/True.ind") 0 [])
- in aux red_ty 1
- )
- constructor_list
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: object is not an Inductive Definition: it's imposible")
- in
-
- let (proof',goals') =
- EliminationTactics.elim_type_tac
- ~term:(C.MutInd (U.uri_of_string "cic:/Coq/Init/Logic/False.ind") 0 [] )
- status
- in
- (match goals' with
- [goal'] ->
- let _,metasenv',_,_ = proof' in
- let _,context',gty' =
- CicUtil.lookup_meta goal' metasenv'
- in
- T.then_
- ~start:
- (P.change_tac
- ~what:gty'
- ~with_what:
- (C.Appl [
- C.Lambda (
- C.Name "x", tty,
- C.MutCase (
- turi, typeno,
- (C.Lambda ((C.Name "x"),tty,(C.Sort C.Prop))),
- (C.Rel 1), pattern
- )
- );
- t2']
- )
- )
- ~continuation:
- (
-prerr_endline ("XXXX rewrite<-: " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' (C.Appl [(C.MutInd (equri,0,[])) ; tty ; t1' ; t2'])));
-prerr_endline ("XXXX rewrite<-: " ^ CicPp.ppterm (C.Appl [(C.MutInd (equri,0,[])) ; tty ; t1' ; t2'])) ;
-prerr_endline ("XXXX equri: " ^ U.string_of_uri equri) ;
-prerr_endline ("XXXX tty : " ^ CicPp.ppterm tty) ;
-prerr_endline ("XXXX tt1': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t1')) ;
-prerr_endline ("XXXX tt2': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t2')) ;
-if (CicTypeChecker.type_of_aux' metasenv' context' t1') <> tty then prerr_endline ("XXXX tt1': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t1')) ;
-if (CicTypeChecker.type_of_aux' metasenv' context' t2') <> tty then prerr_endline ("XXXX tt2': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t2')) ;
-if (CicTypeChecker.type_of_aux' metasenv' context' t1') <> (CicTypeChecker.type_of_aux' metasenv' context' t2')
- then prerr_endline ("XXXX tt1': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t1')) ; prerr_endline ("XXXX tt2': " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' t2')) ;
-
- let termty' = ProofEngineReduction.replace_lifting ~equality:(==) ~what:t1 ~with_what:t1' ~where:termty in
- let termty'' = ProofEngineReduction.replace_lifting ~equality:(==) ~what:t2 ~with_what:t2' ~where:termty' in
-
-prerr_endline ("XXXX rewrite<- " ^ CicPp.ppterm term ^ " : " ^ CicPp.ppterm (CicTypeChecker.type_of_aux' metasenv' context' term));
- T.then_
- ~start:(EqualityTactics.rewrite_back_simpl_tac ~term:term)
- ~continuation:(IntroductionTactics.constructor_tac ~n:1)
- )
- (proof',goal')
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: ElimType False left more (or less) than one goal")
- )
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not a discriminable equality")
- )
- | _ -> raise (ProofEngineTypes.Fail "Discriminate: not an equality")
-;;
-
-*)
-
-
-
projects / helm.git / blobdiff