+++ /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/.
- *)
-
-(* $Id$ *)
-
-module PEH = ProofEngineHelpers
-module U = CicUniv
-module TC = CicTypeChecker
-module PET = ProofEngineTypes
-module S = CicSubstitution
-module PT = PrimitiveTactics
-module T = Tacticals
-module FNG = FreshNamesGenerator
-module MI = CicMkImplicit
-module PESR = ProofEngineStructuralRules
-
-let fail_msg0 = "unexported clearbody: invalid argument"
-let fail_msg2 = "fwd: no applicable simplification"
-
-let error msg = raise (PET.Fail (lazy msg))
-
-(* unexported tactics *******************************************************)
-
-let id_tac =
- let id_tac (proof,goal) =
- try
- let _, metasenv, _, _ = proof in
- let _, _, _ = CicUtil.lookup_meta goal metasenv in
- (proof,[goal])
- with CicUtil.Meta_not_found _ -> (proof, [])
- in
- PET.mk_tactic id_tac
-
-let clearbody ~index =
- let rec find_name index = function
- | Some (Cic.Name name, _) :: _ when index = 1 -> name
- | _ :: tail when index > 1 -> find_name (pred index) tail
- | _ -> error fail_msg0
- in
- let clearbody status =
- let (proof, goal) = status in
- let _, metasenv, _, _ = proof in
- let _, context, _ = CicUtil.lookup_meta goal metasenv in
- PET.apply_tactic (PESR.clearbody ~hyp:(find_name index context)) status
- in
- PET.mk_tactic clearbody
-
-(* lapply *******************************************************************)
-
-let strip_prods metasenv context ?how_many to_what term =
- let irl = MI.identity_relocation_list_for_metavariable context in
- let mk_meta metasenv its_type =
- let index = MI.new_meta metasenv [] in
- let metasenv = [index, context, its_type] @ metasenv in
- metasenv, Cic.Meta (index, irl), index
- in
- let update_counters = function
- | None, [] -> None, false, id_tac, []
- | None, to_what :: tail -> None, true, PT.apply_tac ~term:to_what, tail
- | Some hm, [] -> Some (pred hm), false, id_tac, []
- | Some hm, to_what :: tail -> Some (pred hm), true, PT.apply_tac ~term:to_what, tail
- in
- let rec aux metasenv metas conts tw = function
- | Some hm, _ when hm <= 0 -> metasenv, metas, conts
- | xhm, Cic.Prod (Cic.Name _, t1, t2) ->
- let metasenv, meta, index = mk_meta metasenv t1 in
- aux metasenv (meta :: metas) (conts @ [id_tac, index]) tw (xhm, (S.subst meta t2))
- | xhm, Cic.Prod (Cic.Anonymous, t1, t2) ->
- let xhm, pos, tac, tw = update_counters (xhm, tw) in
- let metasenv, meta, index = mk_meta metasenv t1 in
- let conts = if pos then (tac, index) :: conts else conts @ [tac, index] in
- aux metasenv (meta :: metas) conts tw (xhm, (S.subst meta t2))
- | _, t -> metasenv, metas, conts
- in
- aux metasenv [] [] to_what (how_many, term)
-
-let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
- (* ?(substs = []) *) ?how_many ?(to_what = []) what =
- let letin_tac term = PT.letin_tac ~mk_fresh_name_callback term in
- let lapply_tac (proof, goal) =
- let xuri, metasenv, u, t = proof in
- let _, context, _ = CicUtil.lookup_meta goal metasenv in
- let lemma, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
- let lemma = FNG.clean_dummy_dependent_types lemma in
- let metasenv, metas, conts = strip_prods metasenv context ?how_many to_what lemma in
- let conclusion =
- match metas with [] -> what | _ -> Cic.Appl (what :: List.rev metas)
- in
- let tac = T.then_ ~start:(letin_tac conclusion)
- ~continuation:(clearbody ~index:1)
- in
- let proof = (xuri, metasenv, u, t) in
- let aux (proof, goals) (tac, goal) =
- let proof, new_goals = PET.apply_tactic tac (proof, goal) in
- proof, goals @ new_goals
- in
- List.fold_left aux (proof, []) ((tac, goal) :: conts)
- in
- PET.mk_tactic lapply_tac
-
-(* fwd **********************************************************************)
-
-let fwd_simpl_tac
- ?(mk_fresh_name_callback = FNG.mk_fresh_name ~subst:[])
- ~dbd hyp =
- let lapply_tac to_what lemma =
- lapply_tac ~mk_fresh_name_callback ~how_many:1 ~to_what:[to_what] lemma
- in
- let fwd_simpl_tac status =
- let (proof, goal) = status in
- let _, metasenv, _, _ = proof in
- let _, context, ty = CicUtil.lookup_meta goal metasenv in
- let index, major = PEH.lookup_type metasenv context hyp in
- match FwdQueries.fwd_simpl ~dbd major with
- | [] -> error fail_msg2
- | uri :: _ ->
- Printf.eprintf "fwd: %s\n" (UriManager.string_of_uri uri); flush stderr;
- let start = lapply_tac (Cic.Rel index) (Cic.Const (uri, [])) in
- let tac = T.then_ ~start ~continuation:(PESR.clear hyp) in
- PET.apply_tactic tac status
- in
- PET.mk_tactic fwd_simpl_tac