File res_clasimpset.ML (Isabelle2005: October 2005)

# File res_clasimpset.ML

    (*  ID:      $Id: res_clasimpset.ML,v 1.30 2005/09/23 08:26:07 paulson Exp $
        Author:     Claire Quigley
        Copyright   2004  University of Cambridge
    *)

    structure ReduceAxiomsN =
    (* Author: Jia Meng, Cambridge University Computer Laboratory
       Remove irrelevant axioms used for a proof of a goal, with with iteration control

       Initial version. Needs elaboration. *)

    struct

    fun add_term_consts_rm ncs (Const(c, _)) cs =
        if (c mem ncs) then cs else (c ins_string cs)
      | add_term_consts_rm ncs (t $ u) cs =
          add_term_consts_rm ncs t (add_term_consts_rm ncs u cs)
      | add_term_consts_rm ncs (Abs(_,_,t)) cs = add_term_consts_rm ncs t cs
      | add_term_consts_rm ncs _ cs = cs;

    fun term_consts_rm ncs t = add_term_consts_rm ncs t [];

    fun thm_consts_rm ncs thm = term_consts_rm ncs (prop_of thm);

    fun consts_of_thm (n,thm) = thm_consts_rm ["Trueprop","==>","all","Ex","op &", "op |", "Not", "All", "op -->", "op =", "==", "True", "False"] thm;

    fun consts_of_term term = term_consts_rm ["Trueprop","==>","all","Ex","op &", "op |", "Not", "All", "op -->", "op =", "==", "True", "False"] term;

    fun make_pairs [] _ = []
      | make_pairs (x::xs) y = (x,y)::(make_pairs xs y);

    fun const_thm_list_aux [] cthms = cthms
      | const_thm_list_aux (thm::thms) cthms =
        let val consts = consts_of_thm thm
    	val cthms' = make_pairs consts thm
        in
    	const_thm_list_aux thms (cthms' @ cthms)
        end;

    fun const_thm_list thms = const_thm_list_aux thms [];

    fun make_thm_table thms  =
        let val consts_thms = const_thm_list thms
        in
    	Symtab.make_multi consts_thms
        end;

    fun consts_in_goal goal = consts_of_term goal;

    fun axioms_having_consts_aux [] tab thms = thms
      | axioms_having_consts_aux (c::cs) tab thms =
        let val thms1 = Symtab.lookup tab c
          val thms2 =
              case thms1 of (SOME x) => x
                          | NONE => []
        in
          axioms_having_consts_aux cs tab (thms2 union thms)
        end;

    fun axioms_having_consts cs tab = axioms_having_consts_aux cs tab [];

    fun relevant_axioms goal thmTab n =
        let val consts = consts_in_goal goal
    	fun relevant_axioms_aux1 cs k =
    	    let val thms1 = axioms_having_consts cs thmTab
    		val cs1 = ResLib.flat_noDup (map consts_of_thm thms1)
    	    in
    		if ((cs1 subset cs) orelse n <= k) then (k,thms1)
    		else (relevant_axioms_aux1 (cs1 union cs) (k+1))
    	    end

        in  relevant_axioms_aux1 consts 1  end;

    fun relevant_filter n goal thms =
        if n<=0 then thms
        else #2 (relevant_axioms goal (make_thm_table thms) n);

    (* find the thms from thy that contain relevant constants, n is the iteration number *)
    fun find_axioms_n thy goal n =
        let val clasetR = ResAxioms.claset_rules_of_thy thy
    	val simpsetR = ResAxioms.simpset_rules_of_thy thy
    	val table = make_thm_table (clasetR @ simpsetR)
        in
    	relevant_axioms goal table n
        end;

    fun find_axioms_n_c thy goal n =
        let val current_thms = PureThy.thms_of thy
    	val table = make_thm_table current_thms
        in
    	relevant_axioms goal table n
        end;

    end;

    signature RES_CLASIMP =
      sig
      val relevant : int ref
      val use_simpset: bool ref
      val use_nameless: bool ref
      val get_clasimp_lemmas :
             Proof.context -> term ->
             (ResClause.clause * thm) Array.array * ResClause.clause list
      end;

    structure ResClasimp : RES_CLASIMP =
    struct
    val use_simpset = ref false;   (*Performance is much better without simprules*)
    val use_nameless = ref true;

    val relevant = ref 0;  (*Relevance filtering is off by default*)

    (*The "name" of a theorem is its statement, if nothing else is available.*)
    val plain_string_of_thm =
        setmp show_question_marks false
          (setmp print_mode []
    	(Pretty.setmp_margin 999 string_of_thm));

    fun fake_thm_name th =
        Context.theory_name (theory_of_thm th) ^ "." ^ unenclose (plain_string_of_thm th);

    fun put_name_pair ("",th) = if !use_nameless then (fake_thm_name th, th)
                                else ("HOL.TrueI",TrueI)
      | put_name_pair (a,th)  = (a,th);

    (* outputs a list of (thm,clause) pairs *)

    fun multi x 0 xlist = xlist
       |multi x n xlist = multi x (n-1) (x::xlist);

    fun clause_numbering ((clause, theorem), num_of_cls) =
        let val numbers = 0 upto (num_of_cls - 1)
        in
    	multi (clause, theorem) num_of_cls []
        end;

    (*Write out the claset and simpset rules of the supplied theory.
      FIXME: argument "goal" is a hack to allow relevance filtering.
      To reduce the number of clauses produced, set ResClasimp.relevant:=1*)
    fun get_clasimp_lemmas ctxt goal =
        let val claset_rules =
                  map put_name_pair
    	        (ReduceAxiomsN.relevant_filter (!relevant) goal
    		  (ResAxioms.claset_rules_of_ctxt ctxt));
    	val claset_cls_thms = #1 (ResAxioms.clausify_rules_pairs claset_rules []);

    	val simpset_rules =
    	      ReduceAxiomsN.relevant_filter (!relevant) goal
                    (ResAxioms.simpset_rules_of_ctxt ctxt);
    	val named_simpset = map put_name_pair simpset_rules
    	val simpset_cls_thms = #1 (ResAxioms.clausify_rules_pairs named_simpset []);

    	val cls_thms = if !use_simpset then (claset_cls_thms@simpset_cls_thms)
    	               else claset_cls_thms;
    	val cls_thms_list = List.concat cls_thms;
    	(*************************************************)
    	(* Identify the set of clauses to be written out *)
    	(*************************************************)
    	val clauses = map #1(cls_thms_list);
    	val cls_nums = map ResClause.num_of_clauses clauses;
            val whole_list = List.concat
                  (map clause_numbering (ListPair.zip (cls_thms_list, cls_nums)));

            (*********************************************************)
    	(* create array and put clausename, number pairs into it *)
    	(*********************************************************)
    	val clause_arr = Array.fromList whole_list;
      in
    	(clause_arr, clauses)
      end;

    end;