--- /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
+module HEL = HExtlib
+
+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, _subst, _, _, _ = 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, _subst, _, _, _ = 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 get_clearables context terms =
+ let aux = function
+ | Cic.Rel i
+ | Cic.Appl (Cic.Rel i :: _) -> PEH.get_name context i
+ | _ -> None
+ in
+ HEL.list_rev_map_filter aux terms
+
+let lapply_tac_aux ?(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, _subst, u, t, attrs = 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, _subst, u, t, attrs) 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
+
+let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
+ (* ?(substs = []) *) ?(linear = false) ?how_many ?(to_what = []) what =
+ let lapply_tac status =
+ let proof, goal = status in
+ let _, metasenv, _subst, _, _, _ = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ let lapply = lapply_tac_aux ~mk_fresh_name_callback ?how_many ~to_what what in
+ let tac =
+ if linear then
+ let hyps = get_clearables context (what :: to_what) in
+ T.then_ ~start:lapply
+ ~continuation:(PESR.clear ~hyps) (* T.try_tactic ~tactic: *)
+ else
+ lapply
+ in
+ PET.apply_tactic tac status
+ 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, _subst, _, _, _ = 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 ~hyps:[hyp]) in
+ PET.apply_tactic tac status
+ in
+ PET.mk_tactic fwd_simpl_tac
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