+++ /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/.
- *)
-
-(* $Id$ *)
-
-open ProofEngineTypes
-
-(* Note: this code is almost identical to change_tac and
-* it could be unified by making the change function a callback *)
-let reduction_tac ~reduction ~pattern (proof,goal) =
- let curi,metasenv,pbo,pty = proof in
- let (metano,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in
- let change subst where terms metasenv ugraph =
- if terms = [] then where, metasenv, ugraph
- else
- let pairs, metasenv, ugraph =
- List.fold_left
- (fun (pairs, metasenv, ugraph) (context, t) ->
- let reduction, metasenv, ugraph = reduction context metasenv ugraph in
- ((t, reduction context t) :: pairs), metasenv, ugraph)
- ([], metasenv, ugraph)
- terms
- in
- let terms, terms' = List.split pairs in
- let where' =
- ProofEngineReduction.replace ~equality:(==) ~what:terms ~with_what:terms'
- ~where:where
- in
- CicMetaSubst.apply_subst subst where', metasenv, ugraph
- in
- let (subst,metasenv,ugraph,selected_context,selected_ty) =
- ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.empty_ugraph
- ~conjecture ~pattern
- in
- let ty', metasenv, ugraph = change subst ty selected_ty metasenv ugraph in
- let context', metasenv, ugraph =
- List.fold_right2
- (fun entry selected_entry (context', metasenv, ugraph) ->
- match entry,selected_entry with
- None,None -> None::context', metasenv, ugraph
- | Some (name,Cic.Decl ty),Some (`Decl selected_ty) ->
- let ty', metasenv, ugraph =
- change subst ty selected_ty metasenv ugraph
- in
- Some (name,Cic.Decl ty')::context', metasenv, ugraph
- | Some (name,Cic.Def (bo,ty)),Some (`Def (selected_bo,selected_ty)) ->
- let bo', metasenv, ugraph =
- change subst bo selected_bo metasenv ugraph
- in
- let ty', metasenv, ugraph =
- match ty,selected_ty with
- None,None -> None, metasenv, ugraph
- | Some ty,Some selected_ty ->
- let ty', metasenv, ugraph =
- change subst ty selected_ty metasenv ugraph
- in
- Some ty', metasenv, ugraph
- | _,_ -> assert false
- in
- (Some (name,Cic.Def (bo',ty'))::context'), metasenv, ugraph
- | _,_ -> assert false
- ) context selected_context ([], metasenv, ugraph) in
- let metasenv' =
- List.map (function
- | (n,_,_) when n = metano -> (metano,context',ty')
- | _ as t -> t
- ) metasenv
- in
- (curi,metasenv',pbo,pty), [metano]
-;;
-
-let simpl_tac ~pattern =
- mk_tactic (reduction_tac
- ~reduction:(const_lazy_reduction ProofEngineReduction.simpl) ~pattern)
-
-let reduce_tac ~pattern =
- mk_tactic (reduction_tac
- ~reduction:(const_lazy_reduction ProofEngineReduction.reduce) ~pattern)
-
-let unfold_tac what ~pattern =
- let reduction =
- match what with
- | None -> const_lazy_reduction (ProofEngineReduction.unfold ?what:None)
- | Some lazy_term ->
- (fun context metasenv ugraph ->
- let what, metasenv, ugraph = lazy_term context metasenv ugraph in
- ProofEngineReduction.unfold ~what, metasenv, ugraph)
- in
- mk_tactic (reduction_tac ~reduction ~pattern)
-
-let whd_tac ~pattern =
- mk_tactic (reduction_tac
- ~reduction:(const_lazy_reduction CicReduction.whd) ~pattern)
-
-let normalize_tac ~pattern =
- mk_tactic (reduction_tac
- ~reduction:(const_lazy_reduction CicReduction.normalize) ~pattern)
-
-exception NotConvertible
-
-(* Note: this code is almost identical to reduction_tac and
-* it could be unified by making the change function a callback *)
-(* CSC: with_what is parsed in the context of the goal, but it should replace
- something that lives in a completely different context. Thus we
- perform a delift + lift phase to move it in the right context. However,
- in this way the tactic is less powerful than expected: with_what cannot
- reference variables that are local to the term that is going to be
- replaced. To fix this we should parse with_what in the context of the
- term(s) to be replaced. *)
-let change_tac ~pattern with_what =
- let change_tac ~pattern ~with_what (proof, goal) =
- let curi,metasenv,pbo,pty = proof in
- let (metano,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in
- let change subst where terms metasenv ugraph =
- if terms = [] then where, metasenv, ugraph
- else
- let pairs, metasenv, ugraph =
- List.fold_left
- (fun (pairs, metasenv, ugraph) (context_of_t, t) ->
- let with_what, metasenv, ugraph =
- with_what context_of_t metasenv ugraph
- in
- let _,u =
- CicTypeChecker.type_of_aux' metasenv context_of_t with_what ugraph
- in
- let b,_ =
- CicReduction.are_convertible ~metasenv context_of_t t with_what u
- in
- if b then
- ((t, with_what) :: pairs), metasenv, ugraph
- else
- raise NotConvertible)
- ([], metasenv, ugraph)
- terms
- in
- let terms, terms' = List.split pairs in
- let where' =
- ProofEngineReduction.replace ~equality:(==) ~what:terms ~with_what:terms'
- ~where:where
- in
- CicMetaSubst.apply_subst subst where', metasenv, ugraph
- in
- let (subst,metasenv,ugraph,selected_context,selected_ty) =
- ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.empty_ugraph ~conjecture
- ~pattern in
- let ty', metasenv, ugraph = change subst ty selected_ty metasenv ugraph in
- let context', metasenv, ugraph =
- List.fold_right2
- (fun entry selected_entry (context', metasenv, ugraph) ->
- match entry,selected_entry with
- None,None -> (None::context'), metasenv, ugraph
- | Some (name,Cic.Decl ty),Some (`Decl selected_ty) ->
- let ty', metasenv, ugraph =
- change subst ty selected_ty metasenv ugraph
- in
- (Some (name,Cic.Decl ty')::context'), metasenv, ugraph
- | Some (name,Cic.Def (bo,ty)),Some (`Def (selected_bo,selected_ty)) ->
- let bo', metasenv, ugraph =
- change subst bo selected_bo metasenv ugraph
- in
- let ty', metasenv, ugraph =
- match ty,selected_ty with
- None,None -> None, metasenv, ugraph
- | Some ty,Some selected_ty ->
- let ty', metasenv, ugraph =
- change subst ty selected_ty metasenv ugraph
- in
- Some ty', metasenv, ugraph
- | _,_ -> assert false
- in
- (Some (name,Cic.Def (bo',ty'))::context'), metasenv, ugraph
- | _,_ -> assert false
- ) context selected_context ([], metasenv, ugraph) in
- let metasenv' =
- List.map
- (function
- | (n,_,_) when n = metano -> (metano,context',ty')
- | _ as t -> t)
- metasenv
- in
- (curi,metasenv',pbo,pty), [metano]
- in
- mk_tactic (change_tac ~pattern ~with_what)
-
-let fold_tac ~reduction ~term ~pattern =
- let fold_tac ~reduction ~term ~pattern:(wanted,hyps_pat,concl_pat) status =
- assert (wanted = None); (* this should be checked syntactically *)
- let reduced_term =
- (fun context metasenv ugraph ->
- let term, metasenv, ugraph = term context metasenv ugraph in
- let reduction, metasenv, ugraph = reduction context metasenv ugraph in
- reduction context term, metasenv, ugraph)
- in
- apply_tactic
- (change_tac ~pattern:(Some reduced_term,hyps_pat,concl_pat) term) status
- in
- mk_tactic (fold_tac ~reduction ~term ~pattern)
-