src/HOL/Tools/res_axioms.ML
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(*  Author: Jia Meng, Cambridge University Computer Laboratory
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    ID: $Id$
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    Copyright 2004 University of Cambridge
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Transformation of axiom rules (elim/intro/etc) into CNF forms.
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*)
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signature RES_AXIOMS =
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sig
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  val cnf_axiom: thm -> thm list
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  val meta_cnf_axiom: thm -> thm list
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  val pairname: thm -> string * thm
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  val skolem_thm: thm -> thm list
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  val cnf_rules_pairs: (string * thm) list -> (thm * (string * int)) list
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  val cnf_rules_of_ths: thm list -> thm list
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  val neg_clausify: thm list -> thm list
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  val expand_defs_tac: thm -> tactic
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  val assume_abstract_list: string -> thm list -> thm list
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  val neg_conjecture_clauses: thm -> int -> thm list * (string * typ) list
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  val claset_rules_of: Proof.context -> (string * thm) list   (*FIXME DELETE*)
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  val simpset_rules_of: Proof.context -> (string * thm) list  (*FIXME DELETE*)
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  val atpset_rules_of: Proof.context -> (string * thm) list
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  val meson_method_setup: theory -> theory
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  val clause_cache_endtheory: theory -> theory option
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  val setup: theory -> theory
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end;
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structure ResAxioms: RES_AXIOMS =
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struct
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(* FIXME legacy *)
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fun freeze_thm th = #1 (Drule.freeze_thaw th);
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val lhs_of = #1 o Logic.dest_equals o Thm.prop_of;
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val rhs_of = #2 o Logic.dest_equals o Thm.prop_of;
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(*Store definitions of abstraction functions, ensuring that identical right-hand
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  sides are denoted by the same functions and thereby reducing the need for
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  extensionality in proofs.
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  FIXME!  Store in theory data!!*)
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(*Populate the abstraction cache with common combinators.*)
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fun seed th net =
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  let val (_,ct) = Thm.dest_abs NONE (Thm.rhs_of th)
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      val t = Logic.legacy_varify (term_of ct)
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  in  Net.insert_term Thm.eq_thm (t, th) net end;
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val abstraction_cache = ref
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      (seed (thm"ATP_Linkup.I_simp")
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       (seed (thm"ATP_Linkup.B_simp")
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        (seed (thm"ATP_Linkup.K_simp") Net.empty)));
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(**** Transformation of Elimination Rules into First-Order Formulas****)
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val cfalse = cterm_of HOL.thy HOLogic.false_const;
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val ctp_false = cterm_of HOL.thy (HOLogic.mk_Trueprop HOLogic.false_const);
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(*Converts an elim-rule into an equivalent theorem that does not have the
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  predicate variable.  Leaves other theorems unchanged.  We simply instantiate the
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  conclusion variable to False.*)
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fun transform_elim th =
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  case concl_of th of    (*conclusion variable*)
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       Const("Trueprop",_) $ (v as Var(_,Type("bool",[]))) =>
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           Thm.instantiate ([], [(cterm_of HOL.thy v, cfalse)]) th
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    | v as Var(_, Type("prop",[])) =>
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           Thm.instantiate ([], [(cterm_of HOL.thy v, ctp_false)]) th
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    | _ => th;
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(*To enforce single-threading*)
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exception Clausify_failure of theory;
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(**** SKOLEMIZATION BY INFERENCE (lcp) ****)
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fun rhs_extra_types lhsT rhs =
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  let val lhs_vars = Term.add_tfreesT lhsT []
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      fun add_new_TFrees (TFree v) =
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	    if member (op =) lhs_vars v then I else insert (op =) (TFree v)
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	| add_new_TFrees _ = I
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      val rhs_consts = fold_aterms (fn Const c => insert (op =) c | _ => I) rhs []
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  in fold (#2 #> Term.fold_atyps add_new_TFrees) rhs_consts [] end;
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(*Traverse a theorem, declaring Skolem function definitions. String s is the suggested
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  prefix for the Skolem constant. Result is a new theory*)
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fun declare_skofuns s th thy =
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  let val nref = ref 0
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      fun dec_sko (Const ("Ex",_) $ (xtp as Abs(_,T,p))) (thy, axs) =
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            (*Existential: declare a Skolem function, then insert into body and continue*)
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            let val cname = Name.internal ("sko_" ^ s ^ "_" ^ Int.toString (inc nref))
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                val args0 = term_frees xtp  (*get the formal parameter list*)
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                val Ts = map type_of args0
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                val extraTs = rhs_extra_types (Ts ---> T) xtp
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                val _ = if null extraTs then () else
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                   warning ("Skolemization: extra type vars: " ^ 
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                            commas_quote (map (Sign.string_of_typ thy) extraTs)); 
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                val argsx = map (fn T => Free(gensym"vsk", T)) extraTs
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                val args = argsx @ args0
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                val cT = extraTs ---> Ts ---> T
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                val c = Const (Sign.full_name thy cname, cT)
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                val rhs = list_abs_free (map dest_Free args, HOLogic.choice_const T $ xtp)
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                        (*Forms a lambda-abstraction over the formal parameters*)
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                val _ = Output.debug (fn () => "declaring the constant " ^ cname)
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                val thy' = Sign.add_consts_authentic [(cname, cT, NoSyn)] thy
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                           (*Theory is augmented with the constant, then its def*)
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                val cdef = cname ^ "_def"
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                val thy'' = Theory.add_defs_i false false [(cdef, equals cT $ c $ rhs)] thy'
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                            handle ERROR _ => raise Clausify_failure thy'
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            in dec_sko (subst_bound (list_comb(c,args), p))
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			       (thy'', get_axiom thy'' cdef :: axs)
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            end
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        | dec_sko (Const ("All",_) $ (xtp as Abs(a,T,p))) thx =
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            (*Universal quant: insert a free variable into body and continue*)
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            let val fname = Name.variant (add_term_names (p,[])) a
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            in dec_sko (subst_bound (Free(fname,T), p)) thx end
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        | dec_sko (Const ("op &", _) $ p $ q) thx = dec_sko q (dec_sko p thx)
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        | dec_sko (Const ("op |", _) $ p $ q) thx = dec_sko q (dec_sko p thx)
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        | dec_sko (Const ("Trueprop", _) $ p) thx = dec_sko p thx
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        | dec_sko t thx = thx (*Do nothing otherwise*)
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  in  dec_sko (prop_of th) (thy,[])  end;
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(*Traverse a theorem, accumulating Skolem function definitions.*)
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fun assume_skofuns s th =
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  let val sko_count = ref 0
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      fun dec_sko (Const ("Ex",_) $ (xtp as Abs(_,T,p))) defs =
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            (*Existential: declare a Skolem function, then insert into body and continue*)
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            let val skos = map (#1 o Logic.dest_equals) defs  (*existing sko fns*)
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                val args = term_frees xtp \\ skos  (*the formal parameters*)
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                val Ts = map type_of args
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                val cT = Ts ---> T
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                val id = "sko_" ^ s ^ "_" ^ Int.toString (inc sko_count)
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                val c = Free (id, cT)
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                val rhs = list_abs_free (map dest_Free args,
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                                         HOLogic.choice_const T $ xtp)
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                      (*Forms a lambda-abstraction over the formal parameters*)
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                val def = equals cT $ c $ rhs
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            in dec_sko (subst_bound (list_comb(c,args), p))
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                       (def :: defs)
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            end
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        | dec_sko (Const ("All",_) $ (xtp as Abs(a,T,p))) defs =
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            (*Universal quant: insert a free variable into body and continue*)
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            let val fname = Name.variant (add_term_names (p,[])) a
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            in dec_sko (subst_bound (Free(fname,T), p)) defs end
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        | dec_sko (Const ("op &", _) $ p $ q) defs = dec_sko q (dec_sko p defs)
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        | dec_sko (Const ("op |", _) $ p $ q) defs = dec_sko q (dec_sko p defs)
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        | dec_sko (Const ("Trueprop", _) $ p) defs = dec_sko p defs
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        | dec_sko t defs = defs (*Do nothing otherwise*)
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  in  dec_sko (prop_of th) []  end;
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(**** REPLACING ABSTRACTIONS BY FUNCTION DEFINITIONS ****)
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(*Returns the vars of a theorem*)
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fun vars_of_thm th =
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  map (Thm.cterm_of (theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th []);
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(*Make a version of fun_cong with a given variable name*)
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local
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    val fun_cong' = fun_cong RS asm_rl; (*renumber f, g to prevent clashes with (a,0)*)
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    val cx = hd (vars_of_thm fun_cong');
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    val ty = typ_of (ctyp_of_term cx);
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    val thy = theory_of_thm fun_cong;
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    fun mkvar a = cterm_of thy (Var((a,0),ty));
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in
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fun xfun_cong x = Thm.instantiate ([], [(cx, mkvar x)]) fun_cong'
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end;
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(*Removes the lambdas from an equation of the form t = (%x. u).  A non-negative n,
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  serves as an upper bound on how many to remove.*)
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fun strip_lambdas 0 th = th
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  | strip_lambdas n th =
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      case prop_of th of
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          _ $ (Const ("op =", _) $ _ $ Abs (x,_,_)) =>
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              strip_lambdas (n-1) (freeze_thm (th RS xfun_cong x))
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        | _ => th;
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(*Convert meta- to object-equality. Fails for theorems like split_comp_eq,
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  where some types have the empty sort.*)
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val meta_eq_to_obj_eq = thm "meta_eq_to_obj_eq";
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fun mk_object_eq th = th RS meta_eq_to_obj_eq
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    handle THM _ => error ("Theorem contains empty sort: " ^ string_of_thm th);
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(*Apply a function definition to an argument, beta-reducing the result.*)
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fun beta_comb cf x =
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  let val th1 = combination cf (reflexive x)
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      val th2 = beta_conversion false (Thm.rhs_of th1)
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  in  transitive th1 th2  end;
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(*Apply a function definition to arguments, beta-reducing along the way.*)
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fun list_combination cf [] = cf
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  | list_combination cf (x::xs) = list_combination (beta_comb cf x) xs;
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fun list_cabs ([] ,     t) = t
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  | list_cabs (v::vars, t) = Thm.cabs v (list_cabs(vars,t));
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fun assert_eta_free ct =
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  let val t = term_of ct
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  in if (t aconv Envir.eta_contract t) then ()
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     else error ("Eta redex in term: " ^ string_of_cterm ct)
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  end;
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fun eq_absdef (th1, th2) =
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    Context.joinable (theory_of_thm th1, theory_of_thm th2)  andalso
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    rhs_of th1 aconv rhs_of th2;
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val lambda_free = not o Term.has_abs;
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val monomorphic = not o Term.exists_type (Term.exists_subtype Term.is_TVar);
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fun dest_abs_list ct =
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  let val (cv,ct') = Thm.dest_abs NONE ct
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      val (cvs,cu) = dest_abs_list ct'
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  in (cv::cvs, cu) end
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  handle CTERM _ => ([],ct);
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fun abstract_rule_list [] [] th = th
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  | abstract_rule_list (v::vs) (ct::cts) th = abstract_rule v ct (abstract_rule_list vs cts th)
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  | abstract_rule_list _ _ th = raise THM ("abstract_rule_list", 0, [th]);
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val Envir.Envir {asol = tenv0, iTs = tyenv0, ...} = Envir.empty 0
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(*Does an existing abstraction definition have an RHS that matches the one we need now?
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  thy is the current theory, which must extend that of theorem th.*)
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fun match_rhs thy t th =
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  let val _ = Output.debug (fn()=> "match_rhs: " ^ string_of_cterm (cterm_of thy t) ^
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                                   " against\n" ^ string_of_thm th);
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      val (tyenv,tenv) = Pattern.first_order_match thy (rhs_of th, t) (tyenv0,tenv0)
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      val term_insts = map Meson.term_pair_of (Vartab.dest tenv)
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      val ct_pairs = if subthy (theory_of_thm th, thy) andalso
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                        forall lambda_free (map #2 term_insts)
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                     then map (pairself (cterm_of thy)) term_insts
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                     else raise Pattern.MATCH (*Cannot allow lambdas in the instantiation*)
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      fun ctyp2 (ixn, (S, T)) = (ctyp_of thy (TVar (ixn, S)), ctyp_of thy T)
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      val th' = cterm_instantiate ct_pairs th
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  in  SOME (th, instantiate (map ctyp2 (Vartab.dest tyenv), []) th')  end
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  handle _ => NONE;
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(*Traverse a theorem, declaring abstraction function definitions. String s is the suggested
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  prefix for the constants. Resulting theory is returned in the first theorem. *)
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fun declare_absfuns s th =
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  let val nref = ref 0
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      fun abstract thy ct =
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        if lambda_free (term_of ct) then (transfer thy (reflexive ct), [])
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        else
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        case term_of ct of
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          Abs _ =>
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            let val cname = Name.internal ("llabs_" ^ s ^ "_" ^ Int.toString (inc nref))
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                val _ = assert_eta_free ct;
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                val (cvs,cta) = dest_abs_list ct
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                val (vs,Tvs) = ListPair.unzip (map (dest_Free o term_of) cvs)
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                val _ = Output.debug (fn()=>"Nested lambda: " ^ string_of_cterm cta);
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                val (u'_th,defs) = abstract thy cta
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                val _ = Output.debug (fn()=>"Returned " ^ string_of_thm u'_th);
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                val cu' = Thm.rhs_of u'_th
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                val u' = term_of cu'
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                val abs_v_u = fold_rev (lambda o term_of) cvs u'
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                (*get the formal parameters: ALL variables free in the term*)
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                val args = term_frees abs_v_u
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                val _ = Output.debug (fn()=>Int.toString (length args) ^ " arguments");
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                val rhs = list_abs_free (map dest_Free args, abs_v_u)
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                      (*Forms a lambda-abstraction over the formal parameters*)
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                val _ = Output.debug (fn()=>"Looking up " ^ string_of_cterm cu');
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                val thy = theory_of_thm u'_th
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                val (ax,ax',thy) =
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                 case List.mapPartial (match_rhs thy abs_v_u)
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                         (Net.match_term (!abstraction_cache) u') of
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                     (ax,ax')::_ =>
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                       (Output.debug (fn()=>"Re-using axiom " ^ string_of_thm ax);
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                        (ax,ax',thy))
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                   | [] =>
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                      let val _ = Output.debug (fn()=>"Lookup was empty");
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                          val Ts = map type_of args
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                          val cT = Ts ---> (Tvs ---> typ_of (ctyp_of_term cu'))
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                          val c = Const (Sign.full_name thy cname, cT)
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                          val thy = Sign.add_consts_authentic [(cname, cT, NoSyn)] thy
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                                     (*Theory is augmented with the constant,
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                                       then its definition*)
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                          val cdef = cname ^ "_def"
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                          val thy = Theory.add_defs_i false false
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                                       [(cdef, equals cT $ c $ rhs)] thy
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                                    handle ERROR _ => raise Clausify_failure thy
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                          val _ = Output.debug (fn()=> "Definition is " ^ string_of_thm (get_axiom thy cdef));
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                          val ax = get_axiom thy cdef |> freeze_thm
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                                     |> mk_object_eq |> strip_lambdas (length args)
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                                     |> mk_meta_eq |> Meson.generalize
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                          val (_,ax') = Option.valOf (match_rhs thy abs_v_u ax)
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                          val _ = Output.debug (fn()=> "Declaring: " ^ string_of_thm ax ^ "\n" ^
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                                                       "Instance: " ^ string_of_thm ax');
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                          val _ = abstraction_cache := Net.insert_term eq_absdef
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                                            ((Logic.varify u'), ax) (!abstraction_cache)
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                            handle Net.INSERT =>
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                              raise THM ("declare_absfuns: INSERT", 0, [th,u'_th,ax])
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                       in  (ax,ax',thy)  end
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            in Output.debug (fn()=>"Lookup result: " ^ string_of_thm ax');
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               (transitive (abstract_rule_list vs cvs u'_th) (symmetric ax'), ax::defs) end
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        | (t1$t2) =>
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            let val (ct1,ct2) = Thm.dest_comb ct
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                val (th1,defs1) = abstract thy ct1
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                val (th2,defs2) = abstract (theory_of_thm th1) ct2
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            in  (combination th1 th2, defs1@defs2)  end
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      val _ = Output.debug (fn()=>"declare_absfuns, Abstracting: " ^ string_of_thm th);
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      val (eqth,defs) = abstract (theory_of_thm th) (cprop_of th)
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      val ths = equal_elim eqth th :: map (strip_lambdas ~1 o mk_object_eq o freeze_thm) defs
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      val _ = Output.debug (fn()=>"declare_absfuns, Result: " ^ string_of_thm (hd ths));
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  in  (theory_of_thm eqth, map Drule.eta_contraction_rule ths)  end;
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fun name_of def = try (#1 o dest_Free o lhs_of) def;
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(*A name is valid provided it isn't the name of a defined abstraction.*)
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fun valid_name defs (Free(x,T)) = not (x mem_string (List.mapPartial name_of defs))
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  | valid_name defs _ = false;
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(*s is the theorem name (hint) or the word "subgoal"*)
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fun assume_absfuns s th =
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  let val thy = theory_of_thm th
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      val cterm = cterm_of thy
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      val abs_count = ref 0
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      fun abstract ct =
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        if lambda_free (term_of ct) then (reflexive ct, [])
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        else
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        case term_of ct of
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          Abs (_,T,u) =>
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            let val _ = assert_eta_free ct;
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                val (cvs,cta) = dest_abs_list ct
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                val (vs,Tvs) = ListPair.unzip (map (dest_Free o term_of) cvs)
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                val (u'_th,defs) = abstract cta
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                val cu' = Thm.rhs_of u'_th
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                val u' = term_of cu'
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                (*Could use Thm.cabs instead of lambda to work at level of cterms*)
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                val abs_v_u = fold_rev (lambda o term_of) cvs (term_of cu')
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                (*get the formal parameters: free variables not present in the defs
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                  (to avoid taking abstraction function names as parameters) *)
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                val args = filter (valid_name defs) (term_frees abs_v_u)
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                val crhs = list_cabs (map cterm args, cterm abs_v_u)
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                      (*Forms a lambda-abstraction over the formal parameters*)
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                val rhs = term_of crhs
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                val (ax,ax') =
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                 case List.mapPartial (match_rhs thy abs_v_u)
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                        (Net.match_term (!abstraction_cache) u') of
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                     (ax,ax')::_ =>
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                       (Output.debug (fn()=>"Re-using axiom " ^ string_of_thm ax);
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                        (ax,ax'))
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                   | [] =>
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                      let val Ts = map type_of args
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                          val const_ty = Ts ---> (Tvs ---> typ_of (ctyp_of_term cu'))
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                          val id = "llabs_" ^ s ^ "_" ^ Int.toString (inc abs_count)
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                          val c = Free (id, const_ty)
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                          val ax = assume (Thm.capply (cterm (equals const_ty $ c)) crhs)
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                                     |> mk_object_eq |> strip_lambdas (length args)
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                                     |> mk_meta_eq |> Meson.generalize
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                          val (_,ax') = Option.valOf (match_rhs thy abs_v_u ax)
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                          val _ = abstraction_cache := Net.insert_term eq_absdef (rhs,ax)
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                                    (!abstraction_cache)
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                            handle Net.INSERT =>
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                              raise THM ("assume_absfuns: INSERT", 0, [th,u'_th,ax])
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                      in (ax,ax') end
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            in Output.debug (fn()=>"Lookup result: " ^ string_of_thm ax');
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               (transitive (abstract_rule_list vs cvs u'_th) (symmetric ax'), ax::defs) end
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        | (t1$t2) =>
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            let val (ct1,ct2) = Thm.dest_comb ct
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                val (t1',defs1) = abstract ct1
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                val (t2',defs2) = abstract ct2
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            in  (combination t1' t2', defs1@defs2)  end
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      val _ = Output.debug (fn()=>"assume_absfuns, Abstracting: " ^ string_of_thm th);
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      val (eqth,defs) = abstract (cprop_of th)
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      val ths = equal_elim eqth th :: map (strip_lambdas ~1 o mk_object_eq o freeze_thm) defs
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      val _ = Output.debug (fn()=>"assume_absfuns, Result: " ^ string_of_thm (hd ths));
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  in  map Drule.eta_contraction_rule ths  end;
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(*cterms are used throughout for efficiency*)
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val cTrueprop = Thm.cterm_of HOL.thy HOLogic.Trueprop;
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(*cterm version of mk_cTrueprop*)
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fun c_mkTrueprop A = Thm.capply cTrueprop A;
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(*Given an abstraction over n variables, replace the bound variables by free
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  ones. Return the body, along with the list of free variables.*)
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fun c_variant_abs_multi (ct0, vars) =
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      let val (cv,ct) = Thm.dest_abs NONE ct0
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      in  c_variant_abs_multi (ct, cv::vars)  end
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      handle CTERM _ => (ct0, rev vars);
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(*Given the definition of a Skolem function, return a theorem to replace
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  an existential formula by a use of that function.
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   Example: "EX x. x : A & x ~: B ==> sko A B : A & sko A B ~: B"  [.] *)
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fun skolem_of_def def =
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  let val (c,rhs) = Thm.dest_equals (cprop_of (freeze_thm def))
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      val (ch, frees) = c_variant_abs_multi (rhs, [])
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      val (chilbert,cabs) = Thm.dest_comb ch
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      val {thy,t, ...} = rep_cterm chilbert
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      val T = case t of Const ("Hilbert_Choice.Eps", Type("fun",[_,T])) => T
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diff changeset
   394
                      | _ => raise THM ("skolem_of_def: expected Eps", 0, [def])
22596
d0d2af4db18f rep_thm/cterm/ctyp: removed obsolete sign field;
wenzelm
parents: 22516
diff changeset
   395
      val cex = Thm.cterm_of thy (HOLogic.exists_const T)
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   396
      val ex_tm = c_mkTrueprop (Thm.capply cex cabs)
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   397
      and conc =  c_mkTrueprop (Drule.beta_conv cabs (Drule.list_comb(c,frees)));
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   398
      fun tacf [prem] = rewrite_goals_tac [def] THEN rtac (prem RS someI_ex) 1
23352
356edb5eb1c4 renamed Goal.prove_raw to Goal.prove_internal;
wenzelm
parents: 22902
diff changeset
   399
  in  Goal.prove_internal [ex_tm] conc tacf
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   400
       |> forall_intr_list frees
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   401
       |> forall_elim_vars 0  (*Introduce Vars, but don't discharge defs.*)
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   402
       |> Thm.varifyT
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   403
  end;
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   404
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   405
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   406
(*This will refer to the final version of theory ATP_Linkup.*)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   407
val atp_linkup_thy_ref = Theory.check_thy @{theory}
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   408
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   409
(*Transfer a theorem into theory ATP_Linkup.thy if it is not already
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   410
  inside that theory -- because it's needed for Skolemization.
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   411
  If called while ATP_Linkup is being created, it will transfer to the
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   412
  current version. If called afterward, it will transfer to the final version.*)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   413
fun transfer_to_ATP_Linkup th =
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   414
    transfer (Theory.deref atp_linkup_thy_ref) th handle THM _ => th;
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   415
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   416
(*Converts an Isabelle theorem (intro, elim or simp format, even higher-order) into NNF.*)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   417
fun to_nnf th =
21254
d53f76357f41 incorporated former theories Reconstruction and ResAtpMethods into ATP_Linkup;
wenzelm
parents: 21102
diff changeset
   418
    th |> transfer_to_ATP_Linkup
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   419
       |> transform_elim |> zero_var_indexes |> freeze_thm
24300
e170cee91c66 proper signature for Meson;
wenzelm
parents: 24215
diff changeset
   420
       |> Conv.fconv_rule ObjectLogic.atomize |> Meson.make_nnf |> strip_lambdas ~1;
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   421
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   422
(*Generate Skolem functions for a theorem supplied in nnf*)
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   423
fun skolem_of_nnf s th =
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   424
  map (skolem_of_def o assume o (cterm_of (theory_of_thm th))) (assume_skofuns s th);
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   425
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   426
fun assert_lambda_free ths msg =
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   427
  case filter (not o lambda_free o prop_of) ths of
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   428
      [] => ()
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   429
    | ths' => error (msg ^ "\n" ^ cat_lines (map string_of_thm ths'));
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   430
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   431
fun assume_abstract s th =
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   432
  if lambda_free (prop_of th) then [th]
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   433
  else th |> Drule.eta_contraction_rule |> assume_absfuns s
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   434
          |> tap (fn ths => assert_lambda_free ths "assume_abstract: lambdas")
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   435
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   436
(*Replace lambdas by assumed function definitions in the theorems*)
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   437
fun assume_abstract_list s ths = List.concat (map (assume_abstract s) ths);
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   438
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   439
(*Replace lambdas by declared function definitions in the theorems*)
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   440
fun declare_abstract s (thy, []) = (thy, [])
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   441
  | declare_abstract s (thy, th::ths) =
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   442
      let val (thy', th_defs) =
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   443
            if lambda_free (prop_of th) then (thy, [th])
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   444
            else
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   445
                th |> zero_var_indexes |> freeze_thm
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   446
                   |> Drule.eta_contraction_rule |> transfer thy |> declare_absfuns s
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   447
                handle Clausify_failure thy_e => (thy_e,[])
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   448
          val _ = assert_lambda_free th_defs "declare_abstract: lambdas"
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   449
          val (thy'', ths') = declare_abstract (s^"'") (thy', ths)
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   450
      in  (thy'', th_defs @ ths')  end;
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   451
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   452
(*Keep the full complexity of the original name*)
21858
05f57309170c avoid conflict with Alice keywords: renamed pack -> implode, unpack -> explode, any -> many, avoided assert;
wenzelm
parents: 21646
diff changeset
   453
fun flatten_name s = space_implode "_X" (NameSpace.explode s);
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   454
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   455
fun fake_name th =
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   456
  if PureThy.has_name_hint th then flatten_name (PureThy.get_name_hint th)
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   457
  else gensym "unknown_thm_";
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   458
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   459
fun name_or_string th =
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   460
  if PureThy.has_name_hint th then PureThy.get_name_hint th
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   461
  else string_of_thm th;
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   462
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   463
(*Skolemize a named theorem, with Skolem functions as additional premises.*)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   464
fun skolem_thm th =
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   465
  let val nnfth = to_nnf th and s = fake_name th
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   466
  in  Meson.make_cnf (skolem_of_nnf s nnfth) nnfth |> assume_abstract_list s |> Meson.finish_cnf
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   467
  end
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   468
  handle THM _ => [];
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   469
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   470
(*Declare Skolem functions for a theorem, supplied in nnf and with its name.
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   471
  It returns a modified theory, unless skolemization fails.*)
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   472
fun skolem thy th =
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   473
     Option.map
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   474
        (fn nnfth =>
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   475
          let val _ = Output.debug (fn () => "skolemizing " ^ name_or_string th ^ ": ")
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   476
              val _ = Output.debug (fn () => string_of_thm nnfth)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   477
              val s = fake_name th
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   478
              val (thy',defs) = declare_skofuns s nnfth thy
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   479
              val cnfs = Meson.make_cnf (map skolem_of_def defs) nnfth
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   480
              val _ = Output.debug (fn () => Int.toString (length cnfs) ^ " clauses yielded")
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   481
              val (thy'',cnfs') = declare_abstract s (thy',cnfs)
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   482
          in (map Goal.close_result (Meson.finish_cnf cnfs'), thy'') end
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   483
          handle Clausify_failure thy_e => ([],thy_e)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   484
        )
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   485
      (try to_nnf th);
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   486
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   487
(*The cache prevents repeated clausification of a theorem, and also repeated declaration of
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   488
  Skolem functions.*)
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   489
structure ThmCache = TheoryDataFun
22846
fb79144af9a3 simplified DataFun interfaces;
wenzelm
parents: 22731
diff changeset
   490
(
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   491
  type T = (thm list) Thmtab.table;
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   492
  val empty = Thmtab.empty;
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   493
  fun copy tab : T = tab;
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   494
  val extend = copy;
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   495
  fun merge _ (tab1, tab2) : T = Thmtab.merge (K true) (tab1, tab2);
22846
fb79144af9a3 simplified DataFun interfaces;
wenzelm
parents: 22731
diff changeset
   496
);
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   497
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   498
(*Populate the clause cache using the supplied theorem. Return the clausal form
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   499
  and modified theory.*)
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   500
fun skolem_cache_thm th thy =
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   501
  case Thmtab.lookup (ThmCache.get thy) th of
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   502
      NONE =>
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   503
        (case skolem thy (Thm.transfer thy th) of
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   504
             NONE => ([th],thy)
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   505
           | SOME (cls,thy') =>
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   506
                 (Output.debug (fn () => "skolem_cache_thm: " ^ Int.toString (length cls) ^ 
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   507
                                         " clauses inserted into cache: " ^ name_or_string th);
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   508
                  (cls, ThmCache.put (Thmtab.update (th,cls) (ThmCache.get thy')) thy')))
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   509
    | SOME cls => (cls,thy);
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   510
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   511
(*Exported function to convert Isabelle theorems into axiom clauses*)
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   512
fun cnf_axiom th =
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   513
  let val thy = Theory.merge (Theory.deref atp_linkup_thy_ref, Thm.theory_of_thm th)
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   514
  in
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   515
      case Thmtab.lookup (ThmCache.get thy) th of
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   516
	  NONE => (Output.debug (fn () => "cnf_axiom: " ^ name_or_string th);
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   517
		   map Goal.close_result (skolem_thm th))
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   518
	| SOME cls => cls
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   519
  end;
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   520
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21602
diff changeset
   521
fun pairname th = (PureThy.get_name_hint th, th);
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   522
15872
8336ff711d80 fixed treatment of higher-order simprules
paulson
parents: 15736
diff changeset
   523
(**** Extract and Clausify theorems from a theory's claset and simpset ****)
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   524
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   525
fun rules_of_claset cs =
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   526
  let val {safeIs,safeEs,hazIs,hazEs,...} = rep_cs cs
19175
c6e4b073f6a5 subset_refl now included using the atp attribute
paulson
parents: 19113
diff changeset
   527
      val intros = safeIs @ hazIs
18532
0347c1bba406 elim rules: Classical.classical_rule;
wenzelm
parents: 18510
diff changeset
   528
      val elims  = map Classical.classical_rule (safeEs @ hazEs)
17404
d16c3a62c396 the experimental tagging system, and the usual tidying
paulson
parents: 17279
diff changeset
   529
  in
22130
0906fd95e0b5 Output.debug: non-strict;
wenzelm
parents: 21999
diff changeset
   530
     Output.debug (fn () => "rules_of_claset intros: " ^ Int.toString(length intros) ^
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   531
            " elims: " ^ Int.toString(length elims));
20017
a2070352371c made the conversion of elimination rules more robust
paulson
parents: 19894
diff changeset
   532
     map pairname (intros @ elims)
17404
d16c3a62c396 the experimental tagging system, and the usual tidying
paulson
parents: 17279
diff changeset
   533
  end;
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   534
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   535
fun rules_of_simpset ss =
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   536
  let val ({rules,...}, _) = rep_ss ss
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   537
      val simps = Net.entries rules
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   538
  in
22130
0906fd95e0b5 Output.debug: non-strict;
wenzelm
parents: 21999
diff changeset
   539
    Output.debug (fn () => "rules_of_simpset: " ^ Int.toString(length simps));
0906fd95e0b5 Output.debug: non-strict;
wenzelm
parents: 21999
diff changeset
   540
    map (fn r => (#name r, #thm r)) simps
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   541
  end;
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   542
21505
13d4dba99337 prefer Proof.context over Context.generic;
wenzelm
parents: 21470
diff changeset
   543
fun claset_rules_of ctxt = rules_of_claset (local_claset_of ctxt);
13d4dba99337 prefer Proof.context over Context.generic;
wenzelm
parents: 21470
diff changeset
   544
fun simpset_rules_of ctxt = rules_of_simpset (local_simpset_of ctxt);
19196
62ee8c10d796 Added functions to retrieve local and global atpset rules.
mengj
parents: 19175
diff changeset
   545
24042
968f42fe6836 simplified ResAtpset via NamedThmsFun;
wenzelm
parents: 23592
diff changeset
   546
fun atpset_rules_of ctxt = map pairname (ResAtpset.get ctxt);
20774
8f947ffb5eb8 ResAtpset.get_atpset;
wenzelm
parents: 20710
diff changeset
   547
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   548
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   549
(**** Translate a set of theorems into CNF ****)
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   550
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   551
(* classical rules: works for both FOL and HOL *)
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   552
fun cnf_rules [] err_list = ([],err_list)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   553
  | cnf_rules ((name,th) :: ths) err_list =
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   554
      let val (ts,es) = cnf_rules ths err_list
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   555
      in  (cnf_axiom th :: ts,es) handle  _ => (ts, (th::es))  end;
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   556
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   557
fun pair_name_cls k (n, []) = []
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   558
  | pair_name_cls k (n, cls::clss) = (cls, (n,k)) :: pair_name_cls (k+1) (n, clss)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   559
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   560
fun cnf_rules_pairs_aux pairs [] = pairs
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   561
  | cnf_rules_pairs_aux pairs ((name,th)::ths) =
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   562
      let val pairs' = (pair_name_cls 0 (name, cnf_axiom th)) @ pairs
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   563
                       handle THM _ => pairs | ResClause.CLAUSE _ => pairs
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   564
      in  cnf_rules_pairs_aux pairs' ths  end;
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   565
21290
33b6bb5d6ab8 Improvement to classrel clauses: now outputs the minimum needed.
paulson
parents: 21254
diff changeset
   566
(*The combination of rev and tail recursion preserves the original order*)
33b6bb5d6ab8 Improvement to classrel clauses: now outputs the minimum needed.
paulson
parents: 21254
diff changeset
   567
fun cnf_rules_pairs l = cnf_rules_pairs_aux [] (rev l);
19353
36b6b15ee670 added another function for CNF.
mengj
parents: 19232
diff changeset
   568
19196
62ee8c10d796 Added functions to retrieve local and global atpset rules.
mengj
parents: 19175
diff changeset
   569
18198
95330fc0ea8d -- combined common CNF functions used by HOL and FOL axioms, the difference between conversion of HOL and FOL theorems only comes in when theorems are converted to ResClause.clause or ResHolClause.clause format.
mengj
parents: 18144
diff changeset
   570
(**** Convert all theorems of a claset/simpset into clauses (ResClause.clause, or ResHolClause.clause) ****)
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   571
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   572
(*Setup function: takes a theory and installs ALL known theorems into the clause cache*)
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   573
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   574
val mark_skolemized = Sign.add_consts_i [("ResAxioms_endtheory", HOLogic.boolT, NoSyn)];
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   575
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   576
fun skolem_cache th thy = #2 (skolem_cache_thm th thy);
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   577
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   578
fun skolem_cache_all thy = fold skolem_cache (map #2 (PureThy.all_thms_of thy)) thy;
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   579
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   580
fun skolem_cache_new thy = fold skolem_cache (map #2 (PureThy.thms_of thy)) thy;
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   581
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   582
(*The cache can be kept smaller by inspecting the prop of each thm. Can ignore all that are
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   583
  lambda_free, but then the individual theory caches become much bigger.*)
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   584
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   585
(*The new constant is a hack to prevent multiple execution*)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   586
fun clause_cache_endtheory thy =
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   587
  let val _ = Output.debug (fn () => "RexAxioms end theory action: " ^ Context.str_of_thy thy)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   588
  in
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   589
    Option.map skolem_cache_new (try mark_skolemized thy)
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   590
  end;
16563
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   591
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   592
(*** meson proof methods ***)
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   593
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   594
fun cnf_rules_of_ths ths = List.concat (map cnf_axiom ths);
16563
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   595
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   596
(*Expand all new*definitions of abstraction or Skolem functions in a proof state.*)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   597
fun is_absko (Const ("==", _) $ Free (a,_) $ u) = String.isPrefix "llabs_" a orelse String.isPrefix "sko_" a
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   598
  | is_absko _ = false;
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   599
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   600
fun is_okdef xs (Const ("==", _) $ t $ u) =   (*Definition of Free, not in certain terms*)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   601
      is_Free t andalso not (member (op aconv) xs t)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   602
  | is_okdef _ _ = false
22724
3002683a6e0f Fixes for proof reconstruction, especially involving abstractions and definitions
paulson
parents: 22691
diff changeset
   603
24215
5458fbf18276 removal of some refs
paulson
parents: 24137
diff changeset
   604
(*This function tries to cope with open locales, which introduce hypotheses of the form
5458fbf18276 removal of some refs
paulson
parents: 24137
diff changeset
   605
  Free == t, conjecture clauses, which introduce various hypotheses, and also definitions
5458fbf18276 removal of some refs
paulson
parents: 24137
diff changeset
   606
  of llabs_ and sko_ functions. *)
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   607
fun expand_defs_tac st0 st =
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   608
  let val hyps0 = #hyps (rep_thm st0)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   609
      val hyps = #hyps (crep_thm st)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   610
      val newhyps = filter_out (member (op aconv) hyps0 o Thm.term_of) hyps
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   611
      val defs = filter (is_absko o Thm.term_of) newhyps
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   612
      val remaining_hyps = filter_out (member (op aconv) (map Thm.term_of defs))
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   613
                                      (map Thm.term_of hyps)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   614
      val fixed = term_frees (concl_of st) @
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   615
                  foldl (gen_union (op aconv)) [] (map term_frees remaining_hyps)
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   616
  in  Output.debug (fn _ => "expand_defs_tac: " ^ string_of_thm st);
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   617
      Output.debug (fn _ => "  st0: " ^ string_of_thm st0);
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   618
      Output.debug (fn _ => "  defs: " ^ commas (map string_of_cterm defs));
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   619
      Seq.of_list [LocalDefs.expand (filter (is_okdef fixed o Thm.term_of) defs) st]
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   620
  end;
22724
3002683a6e0f Fixes for proof reconstruction, especially involving abstractions and definitions
paulson
parents: 22691
diff changeset
   621
22731
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   622
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   623
fun meson_general_tac ths i st0 =
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   624
 let val _ = Output.debug (fn () => "Meson called: " ^ cat_lines (map string_of_thm ths))
abfdccaed085 trying to make single-step proofs work better, especially if they contain
paulson
parents: 22724
diff changeset
   625
 in  (Meson.meson_claset_tac (cnf_rules_of_ths ths) HOL_cs i THEN expand_defs_tac st0) st0 end;
22724
3002683a6e0f Fixes for proof reconstruction, especially involving abstractions and definitions
paulson
parents: 22691
diff changeset
   626
21588
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   627
val meson_method_setup = Method.add_methods
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   628
  [("meson", Method.thms_args (fn ths =>
22724
3002683a6e0f Fixes for proof reconstruction, especially involving abstractions and definitions
paulson
parents: 22691
diff changeset
   629
      Method.SIMPLE_METHOD' (CHANGED_PROP o meson_general_tac ths)),
21588
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   630
    "MESON resolution proof procedure")];
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   631
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   632
(** Attribute for converting a theorem into clauses **)
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   633
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   634
fun meta_cnf_axiom th = map Meson.make_meta_clause (cnf_axiom th);
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   635
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   636
fun clausify_rule (th,i) = List.nth (meta_cnf_axiom th, i)
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   637
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   638
val clausify = Attrib.syntax (Scan.lift Args.nat
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   639
  >> (fn i => Thm.rule_attribute (fn _ => fn th => clausify_rule (th, i))));
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   640
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   641
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   642
(*** Converting a subgoal into negated conjecture clauses. ***)
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   643
24300
e170cee91c66 proper signature for Meson;
wenzelm
parents: 24215
diff changeset
   644
val neg_skolemize_tac = EVERY' [rtac ccontr, ObjectLogic.atomize_prems_tac, Meson.skolemize_tac];
22471
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   645
7c51f1a799f3 Removal of axiom names from the theorem cache
paulson
parents: 22360
diff changeset
   646
(*finish_cnf removes tautologies and functional reflexivity axioms, but by calling Thm.varifyT
22644
f10465ee7aa2 Fixed the treatment of TVars in conjecture clauses (they are deleted, not frozen)
paulson
parents: 22596
diff changeset
   647
  it can introduce TVars, which are useless in conjecture clauses.*)
f10465ee7aa2 Fixed the treatment of TVars in conjecture clauses (they are deleted, not frozen)
paulson
parents: 22596
diff changeset
   648
val no_tvars = null o term_tvars o prop_of;
f10465ee7aa2 Fixed the treatment of TVars in conjecture clauses (they are deleted, not frozen)
paulson
parents: 22596
diff changeset
   649
24300
e170cee91c66 proper signature for Meson;
wenzelm
parents: 24215
diff changeset
   650
val neg_clausify =
e170cee91c66 proper signature for Meson;
wenzelm
parents: 24215
diff changeset
   651
  filter no_tvars o Meson.finish_cnf o assume_abstract_list "subgoal" o Meson.make_clauses;
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   652
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   653
fun neg_conjecture_clauses st0 n =
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   654
  let val st = Seq.hd (neg_skolemize_tac n st0)
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   655
      val (params,_,_) = strip_context (Logic.nth_prem (n, Thm.prop_of st))
22516
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   656
  in (neg_clausify (Option.valOf (metahyps_thms n st)), params) end
c986140356b8 Clause cache is now in theory data.
paulson
parents: 22471
diff changeset
   657
  handle Option => raise ERROR "unable to Skolemize subgoal";
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   658
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   659
(*Conversion of a subgoal to conjecture clauses. Each clause has
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   660
  leading !!-bound universal variables, to express generality. *)
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   661
val neg_clausify_tac =
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   662
  neg_skolemize_tac THEN'
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   663
  SUBGOAL
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   664
    (fn (prop,_) =>
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   665
     let val ts = Logic.strip_assums_hyp prop
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   666
     in EVERY1
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   667
         [METAHYPS
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   668
            (fn hyps =>
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   669
              (Method.insert_tac
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   670
                (map forall_intr_vars (neg_clausify hyps)) 1)),
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   671
          REPEAT_DETERM_N (length ts) o (etac thin_rl)]
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   672
     end);
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   673
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   674
(** The Skolemization attribute **)
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   675
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   676
fun conj2_rule (th1,th2) = conjI OF [th1,th2];
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   677
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   678
(*Conjoin a list of theorems to form a single theorem*)
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   679
fun conj_rule []  = TrueI
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   680
  | conj_rule ths = foldr1 conj2_rule ths;
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   681
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   682
fun skolem_attr (Context.Theory thy, th) =
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   683
      let val (cls, thy') = skolem_cache_thm th thy
18728
6790126ab5f6 simplified type attribute;
wenzelm
parents: 18708
diff changeset
   684
      in (Context.Theory thy', conj_rule cls) end
22724
3002683a6e0f Fixes for proof reconstruction, especially involving abstractions and definitions
paulson
parents: 22691
diff changeset
   685
  | skolem_attr (context, th) = (context, th)
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   686
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   687
val setup_attrs = Attrib.add_attributes
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   688
  [("skolem", Attrib.no_args skolem_attr, "skolemization of a theorem"),
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   689
   ("clausify", clausify, "conversion of theorem to clauses")];
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   690
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   691
val setup_methods = Method.add_methods
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   692
  [("neg_clausify", Method.no_args (Method.SIMPLE_METHOD' neg_clausify_tac),
21999
0cf192e489e2 improvements to proof reconstruction. Some files loaded in a different order
paulson
parents: 21900
diff changeset
   693
    "conversion of goal to conjecture clauses")];
24669
4579eac2c997 proper signature constraint;
wenzelm
parents: 24632
diff changeset
   694
24742
73b8b42a36b6 removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents: 24669
diff changeset
   695
val setup = mark_skolemized #> skolem_cache_all #> ThmCache.init #> setup_attrs #> setup_methods;
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   696
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   697
end;