--- /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 C = Cic
+module I = CicInspect
+module S = CicSubstitution
+module TC = CicTypeChecker
+module P = PrimitiveTactics
+module T = Tacticals
+module PESR = ProofEngineStructuralRules
+module F = FreshNamesGenerator
+module PET = ProofEngineTypes
+module RT = ReductionTactics
+module E = CicEnvironment
+module R = CicReduction
+module Un = CicUniv
+module PEH = ProofEngineHelpers
+
+let premise_pattern what = None, [what, C.Implicit (Some `Hole)], None
+
+let get_inductive_def uri =
+ match E.get_obj Un.empty_ugraph uri with
+ | C.InductiveDefinition (tys, _, lpsno, _), _ ->
+ lpsno, tys
+ | _ -> assert false
+
+let is_not_recursive uri tyno tys =
+ let map mutinds (_, ty) =
+(* FG: we can do much better here *)
+ let map mutinds (_, t) = I.S.union mutinds (I.get_mutinds_of_uri uri t) in
+(**********************************)
+ let premises, _ = PEH.split_with_whd ([], ty) in
+ List.fold_left map mutinds (List.tl premises)
+ in
+ let msg = "recursiveness check non implemented for mutually inductive types" in
+ if List.length tys > 1 then raise (PET.Fail (lazy msg)) else
+ let _, _, _, constructors = List.nth tys tyno in
+ let mutinds = List.fold_left map I.S.empty constructors in
+ I.S.is_empty mutinds
+
+let rec check_type sorts metasenv context t =
+ match R.whd ~delta:true context t with
+ | C.MutInd (uri, tyno, _) as t ->
+ let lpsno, tys = get_inductive_def uri in
+ let _, inductive, arity, _ = List.nth tys tyno in
+ let _, psno = PEH.split_with_whd ([], arity) in
+ let not_relation = (lpsno = psno) in
+ let not_recursive = is_not_recursive uri tyno tys in
+ let ty_ty, _ = TC.type_of_aux' metasenv context t Un.empty_ugraph in
+ let sort = match PEH.split_with_whd (context, ty_ty) with
+ | (_, C.Sort sort) ::_ , _ -> CicPp.ppsort sort
+ | (_, C.Meta _) :: _, _ -> CicPp.ppsort (C.Type (Un.fresh ()))
+ | _ -> assert false
+ in
+ let right_sort = List.mem sort sorts in
+ if not_relation && inductive && not_recursive && right_sort then
+ begin
+ HLog.warn (Printf.sprintf "Decomposing %s %u" (UriManager.string_of_uri uri) (succ tyno));
+ true
+ end
+ else false
+ | C.Appl (hd :: tl) -> check_type sorts metasenv context hd
+ | _ -> false
+
+(* unexported tactics *******************************************************)
+
+let rec scan_tac ~old_context_length ~index ~tactic =
+ let scan_tac status =
+ let (proof, goal) = status in
+ let _, metasenv, _subst, _, _, _ = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ let context_length = List.length context in
+ let rec aux index =
+ match PEH.get_name context index with
+ | _ when index <= 0 -> (proof, [goal])
+ | None -> aux (pred index)
+ | Some what ->
+ let tac = T.then_ ~start:(tactic ~what)
+ ~continuation:(scan_tac ~old_context_length:context_length ~index ~tactic)
+ in
+ try PET.apply_tactic tac status
+ with PET.Fail _ -> aux (pred index)
+ in aux (index + context_length - old_context_length)
+ in
+ PET.mk_tactic scan_tac
+
+let elim_clear_unfold_tac ~sorts ~mk_fresh_name_callback ~what =
+ let elim_clear_unfold_tac status =
+ let (proof, goal) = status in
+ let _, metasenv, _subst, _, _, _ = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ let index, ty = PEH.lookup_type metasenv context what in
+ let tac =
+ if check_type sorts metasenv context (S.lift index ty) then
+ T.then_ ~start:(P.elim_intros_tac ~mk_fresh_name_callback (C.Rel index))
+ ~continuation:(PESR.clear [what])
+ else
+ let msg = "unexported elim_clear: not an decomposable type" in
+ raise (PET.Fail (lazy msg))
+ in
+ PET.apply_tactic tac status
+ in
+ PET.mk_tactic elim_clear_unfold_tac
+
+(* elim type ****************************************************************)
+
+let elim_type_tac ?(mk_fresh_name_callback = F.mk_fresh_name ~subst:[]) ?depth
+ ?using what
+=
+ let elim =
+ P.elim_intros_simpl_tac ?using ?depth ~mk_fresh_name_callback
+ in
+ let elim_type_tac status =
+ let tac =
+ T.thens ~start: (P.cut_tac what) ~continuations:[elim (C.Rel 1); T.id_tac]
+ in
+ PET.apply_tactic tac status
+ in
+ PET.mk_tactic elim_type_tac
+
+(* decompose ****************************************************************)
+
+(* robaglia --------------------------------------------------------------- *)
+
+ (** perform debugging output? *)
+let debug = false
+let debug_print = fun _ -> ()
+
+ (** debugging print *)
+let warn s = debug_print (lazy ("DECOMPOSE: " ^ (Lazy.force s)))
+
+(* roba seria ------------------------------------------------------------- *)
+
+let decompose_tac ?(sorts=[CicPp.ppsort C.Prop; CicPp.ppsort C.CProp])
+ ?(mk_fresh_name_callback = F.mk_fresh_name ~subst:[]) () =
+ let decompose_tac status =
+ let (proof, goal) = status in
+ let _, metasenv, _subst, _,_, _ = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ let tactic = elim_clear_unfold_tac ~sorts ~mk_fresh_name_callback in
+ let old_context_length = List.length context in
+ let tac = scan_tac ~old_context_length ~index:old_context_length ~tactic
+ in
+ PET.apply_tactic tac status
+ in
+ PET.mk_tactic decompose_tac
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