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[helm.git] / helm / ocaml / tactics / eliminationTactics.ml
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+(* 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 P = PrimitiveTactics
+module T = Tacticals
+module S = ProofEngineStructuralRules
+module F = FreshNamesGenerator
+module E = ProofEngineTypes
+module H = ProofEngineHelpers
+
+(*
+let induction_tac ~term status =
+  let (proof, goal) = status in
+  let module C = Cic in
+  let module R = CicReduction in
+  let module P = PrimitiveTactics in
+  let module T = Tacticals in
+  let module S = ProofEngineStructuralRules in
+  let module U = UriManager in 
+   let (_,metasenv,_,_) = proof in
+    let _,context,ty = CicUtil.lookup_meta goal metasenv in
+     let termty = CicTypeChecker.type_of_aux' metasenv context term in (* per ora non serve *)
+
+     T.then_ ~start:(T.repeat_tactic 
+                       ~tactic:(T.then_ ~start:(VariousTactics.generalize_tac ~term) (* chissa' se cosi' funziona? *)
+                       ~continuation:(P.intros))
+             ~continuation:(P.elim_intros_simpl ~term)
+             status
+;;
+*)
+
+(* unexported tactics *******************************************************)
+
+let get_name context index =
+   try match List.nth context (pred index) with
+      | Some (Cic.Name name, _)     -> Some name
+      | _                           -> None
+   with Invalid_argument "List.nth" -> None
+
+let rec scan_tac ~old_context_length ~index ~tactic =
+   let scan_tac status =
+      let (proof, goal) = status in
+      let _, metasenv, _, _ = proof in
+      let _, context, _ = CicUtil.lookup_meta goal metasenv in
+      let context_length = List.length context in
+      let rec aux index =
+         match 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 E.apply_tactic tac status 
+              with E.Fail _ -> aux (pred index)
+      in aux (index + context_length - old_context_length - 1)
+   in
+   E.mk_tactic scan_tac
+
+let rec check_inductive_types types = function 
+   | C.MutInd (uri, typeno, _) -> List.mem (uri, typeno) types
+   | C.Appl (hd :: tl)         -> check_inductive_types types hd
+   | _                         -> false
+
+let elim_clear_tac ~mk_fresh_name_callback ~types ~what =
+   let elim_clear_tac status =
+      let (proof, goal) = status in
+      let _, metasenv, _, _ = proof in
+      let _, context, _ = CicUtil.lookup_meta goal metasenv in
+      let index, ty = H.lookup_type metasenv context what in
+      if check_inductive_types types ty then 
+         let tac = T.then_ ~start:(P.elim_intros_tac ~mk_fresh_name_callback (C.Rel index))
+                          ~continuation:(S.clear what)
+        in
+        E.apply_tactic tac status
+      else raise (E.Fail (lazy "unexported elim_clear: not an eliminable type"))
+   in
+   E.mk_tactic elim_clear_tac
+
+(* elim type ****************************************************************)
+
+let elim_type_tac ?(mk_fresh_name_callback = F.mk_fresh_name ~subst:[]) ?depth
+  ?using what
+=
+  let elim what =
+    P.elim_intros_simpl_tac ?using ?depth ~mk_fresh_name_callback what
+  in
+  let elim_type_tac status =
+    let tac =
+      T.thens ~start: (P.cut_tac what) ~continuations:[elim (C.Rel 1); T.id_tac]
+    in
+    E.apply_tactic tac status
+  in
+  E.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)))
+
+(* search in term the Inductive Types and return a list of uris as triples like this: (uri,typeno,exp_named_subst) *)
+let search_inductive_types ty =
+   let rec aux types = function 
+      | C.MutInd (uri, typeno, _) when (not (List.mem (uri, typeno) types)) -> 
+         (uri, typeno) :: types
+      | C.Appl applist -> List.fold_left aux types applist
+      | _              -> types
+   in
+   aux [] ty
+(* N.B: in un caso tipo (and A forall C:Prop.(or B C)) l'or *non* viene selezionato! *)
+
+(* roba seria ------------------------------------------------------------- *)
+
+let decompose_tac ?(mk_fresh_name_callback = F.mk_fresh_name ~subst:[])
+                  ?(user_types=[]) ~dbd what =
+   let decompose_tac status =
+      let (proof, goal) = status in
+      let _, metasenv,_,_ = proof in
+      let _, context, _ = CicUtil.lookup_meta goal metasenv in
+      let types = List.rev_append user_types (FwdQueries.decomposables dbd) in
+      let tactic = elim_clear_tac ~mk_fresh_name_callback ~types in
+      let old_context_length = List.length context in
+      let tac = T.then_ ~start:(tactic ~what)
+                        ~continuation:(scan_tac ~old_context_length ~index:1 ~tactic)
+      in
+      E.apply_tactic tac status
+   in
+   E.mk_tactic decompose_tac
+      
+(*
+module R = CicReduction
+
+       let rec elim_clear_tac ~term' ~nr_of_hyp_still_to_elim status =
+         let (proof, goal) = status in
+         warn (lazy ("nr_of_hyp_still_to_elim=" ^ (string_of_int nr_of_hyp_still_to_elim)));
+         if nr_of_hyp_still_to_elim <> 0 then
+          let _,metasenv,_,_ = proof in
+           let _,context,_ = CicUtil.lookup_meta goal metasenv in
+            let old_context_len = List.length context in
+            let termty,_ = 
+             CicTypeChecker.type_of_aux' metasenv context term' 
+               CicUniv.empty_ugraph in
+             warn (lazy ("elim_clear termty= " ^ CicPp.ppterm termty));
+             match termty with
+                C.MutInd (uri,typeno,exp_named_subst)
+              | C.Appl((C.MutInd (uri,typeno,exp_named_subst))::_) 
+                 when (List.mem (uri,typeno,exp_named_subst) urilist) ->
+                   warn (lazy ("elim " ^ CicPp.ppterm termty));
+                  ProofEngineTypes.apply_tactic 
+                   (T.then_ 
+                      ~start:(P.elim_intros_simpl_tac term')
+                      ~continuation:(
+                        (* clear the hyp that has just been eliminated *)
+                        ProofEngineTypes.mk_tactic (fun status -> 
+                          let (proof, goal) = status in
+                          let _,metasenv,_,_ = proof in
+                           let _,context,_ = CicUtil.lookup_meta goal metasenv in
+                            let new_context_len = List.length context in   
+                             warn (lazy ("newcon=" ^ (string_of_int new_context_len) ^ " & oldcon=" ^ (string_of_int old_context_len) ^ " & old_nr_of_hyp=" ^ (string_of_int nr_of_hyp_still_to_elim)));
+                             let new_nr_of_hyp_still_to_elim = nr_of_hyp_still_to_elim + (new_context_len - old_context_len) - 1 in
+                             let hyp_name =
+                              match List.nth context new_nr_of_hyp_still_to_elim with
+                                 None
+                               | Some (Cic.Anonymous,_) -> assert false
+                               | Some (Cic.Name name,_) -> name
+                             in
+                            ProofEngineTypes.apply_tactic
+                             (T.then_ 
+                                ~start:(
+                                  if (term'==term) (* if it's the first application of elim, there's no need to clear the hyp *) 
+                                   then begin debug_print (lazy ("%%%%%%% no clear")); T.id_tac end
+                                   else begin debug_print (lazy ("%%%%%%% clear " ^ (string_of_int (new_nr_of_hyp_still_to_elim)))); (S.clear ~hyp:hyp_name) end)
+                                ~continuation:(ProofEngineTypes.mk_tactic (elim_clear_tac ~term':(C.Rel new_nr_of_hyp_still_to_elim) ~nr_of_hyp_still_to_elim:new_nr_of_hyp_still_to_elim)))
+                                status
+                        )))
+                      status
+              | _ ->
+                   let new_nr_of_hyp_still_to_elim = nr_of_hyp_still_to_elim - 1 in 
+                    warn (lazy ("fail; hyp=" ^ (string_of_int new_nr_of_hyp_still_to_elim)));
+                    elim_clear_tac ~term':(C.Rel new_nr_of_hyp_still_to_elim) ~nr_of_hyp_still_to_elim:new_nr_of_hyp_still_to_elim status
+         else (* no hyp to elim left in this goal *)
+          ProofEngineTypes.apply_tactic T.id_tac status
+
+        in
+         elim_clear_tac ~term':term ~nr_of_hyp_still_to_elim:1 status
+*)