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 trace_abs: bool ref
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  val cnf_axiom : string * thm -> thm list
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  val cnf_name : string -> 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 to_nnf : thm -> thm
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  val cnf_rules_pairs : (string * thm) list -> (thm * (string * int)) list
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  val meson_method_setup : theory -> theory
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  val setup : theory -> theory
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  val assume_abstract_list: thm list -> thm list
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  val claset_rules_of: Proof.context -> (string * thm) list
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  val simpset_rules_of: Proof.context -> (string * thm) list
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  val atpset_rules_of: Proof.context -> (string * thm) list
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end;
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structure ResAxioms: RES_AXIOMS =
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struct
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(*For running the comparison between combinators and abstractions.
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  CANNOT be a ref, as the setting is used while Isabelle is built.
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  Currently FALSE, i.e. all the "abstraction" code below is unused, but so far
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  it seems to be inferior to combinators...*)
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val abstract_lambdas = false;
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val trace_abs = ref false;
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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 (Drule.rhs_of th)
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      val t = Logic.legacy_varify (term_of ct)
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  in  Net.insert_term 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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(**** Transformation of Clasets and Simpsets into First-Order Axioms ****)
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(*Transfer a theorem into theory ATP_Linkup.thy if it is not already
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  inside that theory -- because it's needed for Skolemization *)
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(*This will refer to the final version of theory ATP_Linkup.*)
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val recon_thy_ref = Theory.self_ref (the_context ());
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(*If called while ATP_Linkup is being created, it will transfer to the
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  current version. If called afterward, it will transfer to the final version.*)
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fun transfer_to_ATP_Linkup th =
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    transfer (Theory.deref recon_thy_ref) th handle THM _ => th;
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(**** SKOLEMIZATION BY INFERENCE (lcp) ****)
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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 (s ^ "_sko" ^ Int.toString (inc nref))
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                val args = term_frees xtp  (*get the formal parameter list*)
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                val Ts = map type_of args
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                val cT = 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 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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            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 th =
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  let 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 c = Free (gensym "sko_", 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) (Drule.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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fun mk_object_eq th = th RS def_imp_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 (Drule.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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fun lambda_free (Abs _) = false
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  | lambda_free (t $ u) = lambda_free t andalso lambda_free u
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  | lambda_free _ = true;
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fun monomorphic t =
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  Term.fold_types (Term.fold_atyps (fn TVar _ => K false | _ => I)) t true;
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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 lambda_list [] u = u
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  | lambda_list (v::vs) u = lambda v (lambda_list vs u);
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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 _ = if !trace_abs then warning ("match_rhs: " ^ string_of_cterm (cterm_of thy t) ^ 
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                                          " against\n" ^ string_of_thm th) else ();
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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 th =
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  let 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 (gensym "abs_");
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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 _ = if !trace_abs then warning ("Nested lambda: " ^ string_of_cterm cta) else ();
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                val (u'_th,defs) = abstract thy cta
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                val _ = if !trace_abs then warning ("Returned " ^ string_of_thm u'_th) else ();
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                val cu' = Drule.rhs_of u'_th
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                val u' = term_of cu'
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                val abs_v_u = lambda_list (map 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 _ = if !trace_abs then warning (Int.toString (length args) ^ " arguments") else ();
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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 _ = if !trace_abs then warning ("Looking up " ^ string_of_cterm cu') else ();
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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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                       (if !trace_abs then warning ("Re-using axiom " ^ string_of_thm ax) else ();
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                        (ax,ax',thy))
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                   | [] =>
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                      let val _ = if !trace_abs then warning "Lookup was empty" else ();
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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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                          val _ = if !trace_abs then (warning ("Definition is " ^ 
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                                                      string_of_thm (get_axiom thy cdef))) 
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                                  else ();
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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 _ = if !trace_abs then 
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                                    (warning ("Declaring: " ^ string_of_thm ax);
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                                     warning ("Instance: " ^ string_of_thm ax')) 
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                                  else ();
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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 if !trace_abs then warning ("Lookup result: " ^ string_of_thm ax') else ();
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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 _ = if !trace_abs then warning ("declare_absfuns, Abstracting: " ^ string_of_thm th) else ();
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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 _ = if !trace_abs then warning ("declare_absfuns, Result: " ^ string_of_thm (hd ths)) else ();
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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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fun assume_absfuns 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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      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' = Drule.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 = lambda_list (map 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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                       (if !trace_abs then warning ("Re-using axiom " ^ string_of_thm ax) else ();
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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 c = Free (gensym "abs_", 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 if !trace_abs then warning ("Lookup result: " ^ string_of_thm ax') else ();
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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 _ = if !trace_abs then warning ("assume_absfuns, Abstracting: " ^ string_of_thm th) else ();
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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 _ = if !trace_abs then warning ("assume_absfuns, Result: " ^ string_of_thm (hd ths)) else ();
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  in  map Drule.eta_contraction_rule ths  end;
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   373
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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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   380
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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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   384
      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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   387
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   388
(*Given the definition of a Skolem function, return a theorem to replace
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   389
  an existential formula by a use of that function.
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   390
   Example: "EX x. x : A & x ~: B ==> sko A B : A & sko A B ~: B"  [.] *)
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   391
fun skolem_of_def def =
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   392
  let val (c,rhs) = Drule.dest_equals (cprop_of (freeze_thm def))
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   393
      val (ch, frees) = c_variant_abs_multi (rhs, [])
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   394
      val (chilbert,cabs) = Thm.dest_comb ch
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   395
      val {sign,t, ...} = rep_cterm chilbert
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   396
      val T = case t of Const ("Hilbert_Choice.Eps", Type("fun",[_,T])) => T
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   397
                      | _ => raise THM ("skolem_of_def: expected Eps", 0, [def])
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a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   398
      val cex = Thm.cterm_of sign (HOLogic.exists_const T)
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   399
      val ex_tm = c_mkTrueprop (Thm.capply cex cabs)
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   400
      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
   401
      fun tacf [prem] = rewrite_goals_tac [def] THEN rtac (prem RS someI_ex) 1
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   402
  in  Goal.prove_raw [ex_tm] conc tacf
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   403
       |> forall_intr_list frees
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   404
       |> forall_elim_vars 0  (*Introduce Vars, but don't discharge defs.*)
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   405
       |> Thm.varifyT
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   406
  end;
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   407
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   408
(*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
   409
fun to_nnf th =
21254
d53f76357f41 incorporated former theories Reconstruction and ResAtpMethods into ATP_Linkup;
wenzelm
parents: 21102
diff changeset
   410
    th |> transfer_to_ATP_Linkup
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   411
       |> transform_elim |> zero_var_indexes |> freeze_thm
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   412
       |> ObjectLogic.atomize_thm |> make_nnf |> strip_lambdas ~1;
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   413
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   414
(*The cache prevents repeated clausification of a theorem,
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   415
  and also repeated declaration of Skolem functions*)
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   416
  (* FIXME better use Termtab!? No, we MUST use theory data!!*)
15955
87cf2ce8ede8 memoization of ResAxioms.cnf_axiom rather than of Reconstruction.clausify_rule
paulson
parents: 15872
diff changeset
   417
val clause_cache = ref (Symtab.empty : (thm * thm list) Symtab.table)
87cf2ce8ede8 memoization of ResAxioms.cnf_axiom rather than of Reconstruction.clausify_rule
paulson
parents: 15872
diff changeset
   418
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   419
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   420
(*Generate Skolem functions for a theorem supplied in nnf*)
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   421
fun skolem_of_nnf th =
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   422
  map (skolem_of_def o assume o (cterm_of (theory_of_thm th))) (assume_skofuns th);
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   423
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   424
fun assert_lambda_free ths msg = 
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   425
  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
   426
      [] => ()
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   427
     | ths' => error (msg ^ "\n" ^ space_implode "\n" (map string_of_thm ths'));
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   428
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   429
fun assume_abstract th =
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   430
  if lambda_free (prop_of th) then [th]
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   431
  else th |> Drule.eta_contraction_rule |> assume_absfuns
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   432
          |> tap (fn ths => assert_lambda_free ths "assume_abstract: lambdas")
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   433
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   434
(*Replace lambdas by assumed function definitions in the theorems*)
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   435
fun assume_abstract_list ths =
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   436
  if abstract_lambdas then List.concat (map assume_abstract ths)
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   437
  else map Drule.eta_contraction_rule 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*)
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   440
fun declare_abstract' (thy, []) = (thy, [])
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   441
  | declare_abstract' (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
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   446
                   |> Drule.eta_contraction_rule |> transfer thy |> declare_absfuns
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   447
          val _ = assert_lambda_free th_defs "declare_abstract: lambdas"
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   448
          val (thy'', ths') = declare_abstract' (thy', ths)
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   449
      in  (thy'', th_defs @ ths')  end;
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   450
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   451
fun declare_abstract (thy, ths) =
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   452
  if abstract_lambdas then declare_abstract' (thy, ths)
20863
4ee61dbf192d improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents: 20789
diff changeset
   453
  else (thy, map Drule.eta_contraction_rule ths);
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   454
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   455
(*Skolemize a named theorem, with Skolem functions as additional premises.*)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   456
fun skolem_thm th =
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   457
  let val nnfth = to_nnf th
21470
7c1b59ddcd56 Consolidation of code to "blacklist" unhelpful theorems, including record
paulson
parents: 21430
diff changeset
   458
  in  Meson.make_cnf (skolem_of_nnf nnfth) nnfth |> assume_abstract_list |> Meson.finish_cnf
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   459
  end
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   460
  handle THM _ => [];
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   461
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   462
(*Keep the full complexity of the original name*)
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   463
fun flatten_name s = space_implode "_X" (NameSpace.unpack s);
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   464
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   465
(*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
   466
  It returns a modified theory, unless skolemization fails.*)
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   467
fun skolem thy (name,th) =
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   468
  let val cname = (case name of "" => gensym "" | s => flatten_name s)
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   469
      val _ = Output.debug ("skolemizing " ^ name ^ ": ")
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   470
  in Option.map
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   471
        (fn nnfth =>
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   472
          let val (thy',defs) = declare_skofuns cname nnfth thy
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   473
              val cnfs = Meson.make_cnf (map skolem_of_def defs) nnfth
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   474
              val (thy'',cnfs') = declare_abstract (thy',cnfs)
21470
7c1b59ddcd56 Consolidation of code to "blacklist" unhelpful theorems, including record
paulson
parents: 21430
diff changeset
   475
          in (thy'', Meson.finish_cnf cnfs')
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   476
          end)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   477
      (SOME (to_nnf th)  handle THM _ => NONE)
18141
89e2e8bed08f Skolemization by inference, but not quite finished
paulson
parents: 18009
diff changeset
   478
  end;
16009
a6d480e6c5f0 Skolemization of simprules and classical rules
paulson
parents: 15997
diff changeset
   479
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   480
(*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
   481
  and modified theory.*)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   482
fun skolem_cache_thm (name,th) thy =
18144
4edcb5fdc3b0 duplicate axioms in ATP linkup, and general fixes
paulson
parents: 18141
diff changeset
   483
  case Symtab.lookup (!clause_cache) name of
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   484
      NONE =>
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   485
        (case skolem thy (name, Thm.transfer thy th) of
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   486
             NONE => ([th],thy)
20473
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   487
           | SOME (thy',cls) => 
21602
cb13024d0e36 Goal.norm/close_result;
wenzelm
parents: 21588
diff changeset
   488
               let val cls = map Goal.close_result cls
20473
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   489
               in
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   490
                  if null cls then warning ("skolem_cache: empty clause set for " ^ name)
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   491
                  else ();
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   492
                  change clause_cache (Symtab.update (name, (th, cls))); 
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   493
                  (cls,thy')
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   494
               end)
18144
4edcb5fdc3b0 duplicate axioms in ATP linkup, and general fixes
paulson
parents: 18141
diff changeset
   495
    | SOME (th',cls) =>
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   496
        if eq_thm(th,th') then (cls,thy)
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   497
        else (Output.debug ("skolem_cache: Ignoring variant of theorem " ^ name);
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   498
              Output.debug (string_of_thm th);
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   499
              Output.debug (string_of_thm th');
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   500
              ([th],thy));
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   501
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   502
(*Exported function to convert Isabelle theorems into axiom clauses*)
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   503
fun cnf_axiom (name,th) =
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   504
 (Output.debug ("cnf_axiom called, theorem name = " ^ name);
18144
4edcb5fdc3b0 duplicate axioms in ATP linkup, and general fixes
paulson
parents: 18141
diff changeset
   505
  case name of
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   506
        "" => skolem_thm th (*no name, so can't cache*)
18144
4edcb5fdc3b0 duplicate axioms in ATP linkup, and general fixes
paulson
parents: 18141
diff changeset
   507
      | s  => case Symtab.lookup (!clause_cache) s of
20473
7ef72f030679 Using Drule.local_standard to reduce the space usage
paulson
parents: 20461
diff changeset
   508
                NONE => 
21602
cb13024d0e36 Goal.norm/close_result;
wenzelm
parents: 21588
diff changeset
   509
                  let val cls = map Goal.close_result (skolem_thm th)
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   510
                  in Output.debug "inserted into cache";
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   511
                     change clause_cache (Symtab.update (s, (th, cls))); cls 
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   512
                  end
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   513
              | SOME(th',cls) =>
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   514
                  if eq_thm(th,th') then cls
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   515
                  else (Output.debug ("cnf_axiom: duplicate or variant of theorem " ^ name);
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   516
                        Output.debug (string_of_thm th);
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   517
                        Output.debug (string_of_thm th');
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   518
                        cls)
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   519
 );
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
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   523
(*Principally for debugging*)
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   524
fun cnf_name s = 
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   525
  let val th = thm s
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21602
diff changeset
   526
  in cnf_axiom (PureThy.get_name_hint th, th) end;
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   527
15872
8336ff711d80 fixed treatment of higher-order simprules
paulson
parents: 15736
diff changeset
   528
(**** Extract and Clausify theorems from a theory's claset and simpset ****)
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   529
17404
d16c3a62c396 the experimental tagging system, and the usual tidying
paulson
parents: 17279
diff changeset
   530
(*Preserve the name of "th" after the transformation "f"*)
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21602
diff changeset
   531
fun preserve_name f th = PureThy.put_name_hint (PureThy.get_name_hint th) (f th);
17404
d16c3a62c396 the experimental tagging system, and the usual tidying
paulson
parents: 17279
diff changeset
   532
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   533
fun rules_of_claset cs =
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   534
  let val {safeIs,safeEs,hazIs,hazEs,...} = rep_cs cs
19175
c6e4b073f6a5 subset_refl now included using the atp attribute
paulson
parents: 19113
diff changeset
   535
      val intros = safeIs @ hazIs
18532
0347c1bba406 elim rules: Classical.classical_rule;
wenzelm
parents: 18510
diff changeset
   536
      val elims  = map Classical.classical_rule (safeEs @ hazEs)
17404
d16c3a62c396 the experimental tagging system, and the usual tidying
paulson
parents: 17279
diff changeset
   537
  in
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   538
     Output.debug ("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
   539
            " elims: " ^ Int.toString(length elims));
20017
a2070352371c made the conversion of elimination rules more robust
paulson
parents: 19894
diff changeset
   540
     map pairname (intros @ elims)
17404
d16c3a62c396 the experimental tagging system, and the usual tidying
paulson
parents: 17279
diff changeset
   541
  end;
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   542
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   543
fun rules_of_simpset ss =
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   544
  let val ({rules,...}, _) = rep_ss ss
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   545
      val simps = Net.entries rules
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   546
  in
18680
677e2bdd75f0 Output.debug;
wenzelm
parents: 18629
diff changeset
   547
      Output.debug ("rules_of_simpset: " ^ Int.toString(length simps));
17484
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   548
      map (fn r => (#name r, #thm r)) simps
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   549
  end;
f6a225f97f0a simplification of the Isabelle-ATP code; hooks for batch generation of problems
paulson
parents: 17412
diff changeset
   550
21505
13d4dba99337 prefer Proof.context over Context.generic;
wenzelm
parents: 21470
diff changeset
   551
fun claset_rules_of ctxt = rules_of_claset (local_claset_of ctxt);
13d4dba99337 prefer Proof.context over Context.generic;
wenzelm
parents: 21470
diff changeset
   552
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
   553
21505
13d4dba99337 prefer Proof.context over Context.generic;
wenzelm
parents: 21470
diff changeset
   554
fun atpset_rules_of ctxt = map pairname (ResAtpset.get_atpset ctxt);
20774
8f947ffb5eb8 ResAtpset.get_atpset;
wenzelm
parents: 20710
diff changeset
   555
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   556
15872
8336ff711d80 fixed treatment of higher-order simprules
paulson
parents: 15736
diff changeset
   557
(**** Translate a set of classical/simplifier rules into CNF (still as type "thm")  ****)
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   558
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   559
(* classical rules: works for both FOL and HOL *)
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   560
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
   561
  | cnf_rules ((name,th) :: ths) err_list =
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   562
      let val (ts,es) = cnf_rules ths err_list
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   563
      in  (cnf_axiom (name,th) :: ts,es) handle  _ => (ts, (th::es))  end;
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   564
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   565
fun pair_name_cls k (n, []) = []
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   566
  | 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
   567
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   568
fun cnf_rules_pairs_aux pairs [] = pairs
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   569
  | cnf_rules_pairs_aux pairs ((name,th)::ths) =
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   570
      let val pairs' = (pair_name_cls 0 (name, cnf_axiom(name,th))) @ pairs
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   571
                       handle THM _ => pairs | ResClause.CLAUSE _ => pairs
19894
7c7e15b27145 the "all_theorems" option and some fixes
paulson
parents: 19630
diff changeset
   572
      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
   573
21290
33b6bb5d6ab8 Improvement to classrel clauses: now outputs the minimum needed.
paulson
parents: 21254
diff changeset
   574
(*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
   575
fun cnf_rules_pairs l = cnf_rules_pairs_aux [] (rev l);
19353
36b6b15ee670 added another function for CNF.
mengj
parents: 19232
diff changeset
   576
19196
62ee8c10d796 Added functions to retrieve local and global atpset rules.
mengj
parents: 19175
diff changeset
   577
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
   578
(**** 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
   579
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   580
(*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
   581
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   582
fun skolem_cache (name,th) thy =
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   583
  let val prop = Thm.prop_of th
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   584
  in
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   585
      if lambda_free prop 
20969
341808e0b7f2 Abstraction re-use code now checks that the abstraction function can be used in the current
paulson
parents: 20902
diff changeset
   586
         (*Monomorphic theorems can be Skolemized on demand,
20867
e7b92a48e22b Refinements to abstraction. Seeding with combinators K, I and B.
paulson
parents: 20863
diff changeset
   587
           but there are problems with re-use of abstraction functions if we don't
e7b92a48e22b Refinements to abstraction. Seeding with combinators K, I and B.
paulson
parents: 20863
diff changeset
   588
           do them now, even for monomorphic theorems.*)
e7b92a48e22b Refinements to abstraction. Seeding with combinators K, I and B.
paulson
parents: 20863
diff changeset
   589
      then thy  
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   590
      else #2 (skolem_cache_thm (name,th) thy)
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   591
  end;
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   592
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   593
(*The cache can be kept smaller by augmenting the condition above with 
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   594
    orelse (not abstract_lambdas andalso monomorphic prop).
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   595
  However, while this step does not reduce the time needed to build HOL, 
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   596
  it doubles the time taken by the first call to the ATP link-up.*)
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   597
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   598
fun clause_cache_setup thy = fold skolem_cache (PureThy.all_thms_of thy) thy;
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   599
16563
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   600
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   601
(*** meson proof methods ***)
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   602
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   603
fun skolem_use_cache_thm th =
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21602
diff changeset
   604
  case Symtab.lookup (!clause_cache) (PureThy.get_name_hint th) of
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   605
      NONE => skolem_thm th
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   606
    | SOME (th',cls) =>
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   607
        if eq_thm(th,th') then cls else skolem_thm th;
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   608
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   609
fun cnf_rules_of_ths ths = List.concat (map skolem_use_cache_thm ths);
16563
a92f96951355 meson method taking an argument list
paulson
parents: 16173
diff changeset
   610
21588
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   611
val meson_method_setup = Method.add_methods
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   612
  [("meson", Method.thms_args (fn ths =>
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   613
      Method.SIMPLE_METHOD' (CHANGED_PROP o Meson.meson_claset_tac (cnf_rules_of_ths ths) HOL_cs)),
cd0dc678a205 simplified method setup;
wenzelm
parents: 21505
diff changeset
   614
    "MESON resolution proof procedure")];
15347
14585bc8fa09 resolution package tools by Jia Meng
paulson
parents:
diff changeset
   615
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   616
(** Attribute for converting a theorem into clauses **)
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   617
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   618
fun meta_cnf_axiom th = map Meson.make_meta_clause (cnf_axiom (pairname th));
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   619
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   620
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
   621
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   622
val clausify = Attrib.syntax (Scan.lift Args.nat
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   623
  >> (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
   624
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   625
(** The Skolemization attribute **)
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   626
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   627
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
   628
20457
85414caac94a refinements to conversion into clause form, esp for the HO case
paulson
parents: 20445
diff changeset
   629
(*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
   630
fun conj_rule []  = TrueI
20445
b222d9939e00 improvements to abstraction generation
paulson
parents: 20421
diff changeset
   631
  | conj_rule ths = foldr1 conj2_rule ths;
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   632
20419
df257a9cf0e9 abstraction of lambda-expressions
paulson
parents: 20373
diff changeset
   633
fun skolem_attr (Context.Theory thy, th) =
21646
c07b5b0e8492 thm/prf: separate official name vs. additional tags;
wenzelm
parents: 21602
diff changeset
   634
      let val name = PureThy.get_name_hint th
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   635
          val (cls, thy') = skolem_cache_thm (name, th) thy
18728
6790126ab5f6 simplified type attribute;
wenzelm
parents: 18708
diff changeset
   636
      in (Context.Theory thy', conj_rule cls) end
21071
8d0245c5ed9e Fixed the "exception Empty" bug in elim2Fol
paulson
parents: 20996
diff changeset
   637
  | skolem_attr (context, th) = (context, conj_rule (skolem_use_cache_thm th));
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   638
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   639
val setup_attrs = Attrib.add_attributes
21102
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   640
  [("skolem", Attrib.no_args skolem_attr, "skolemization of a theorem"),
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   641
   ("clausify", clausify, "conversion to clauses")];
7f2ebe5c5b72 Conversion to clause form now tolerates Boolean variables without looping.
paulson
parents: 21096
diff changeset
   642
     
18708
4b3dadb4fe33 setup: theory -> theory;
wenzelm
parents: 18680
diff changeset
   643
val setup = clause_cache_setup #> setup_attrs;
18510
0a6c24f549c3 the "skolem" attribute and better initialization of the clause database
paulson
parents: 18404
diff changeset
   644
20461
d689ad772b2c skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents: 20457
diff changeset
   645
end;