src/HOL/SVC_Oracle.ML
author paulson
Thu, 19 Aug 1999 15:12:51 +0200
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(*  Title:      HOL/SVC_Oracle.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson
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    Copyright   1999  University of Cambridge
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Installing the oracle for SVC (Stanford Validity Checker)
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Based upon the work of Søren T. Heilmann
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*)
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(*Generalize an Isabelle formula, replacing by Vars
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  all subterms not intelligible to SVC.*)
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fun svc_abstract t =
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  let
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    val params = Term.strip_all_vars t
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    and body   = Term.strip_all_body t
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    val Us = map #2 params
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    val nPar = length params
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    val vname = ref "V_a"
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    val pairs = ref ([] : (term*term) list)
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    fun insert t = 
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	let val T = fastype_of t
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	    val v = Unify.combound (Var ((!vname,0), Us--->T),
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				    0, nPar)
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	in  vname := bump_string (!vname); 
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	    pairs := (t, v) :: !pairs;
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	    v
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	end;
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    fun replace t = 
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	case t of
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	    Free _  => t  (*but not existing Vars, lest the names clash*)
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	  | Bound _ => t
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	  | _ => (case gen_assoc (op aconv) (!pairs, t) of
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		      Some v => v
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		    | None   => insert t)
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    (*abstraction of a real/rational expression*)
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    fun rat ((c as Const("op +", _)) $ x $ y) = c $ (rat x) $ (rat y)
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      | rat ((c as Const("op -", _)) $ x $ y) = c $ (rat x) $ (rat y)
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      | rat ((c as Const("op /", _)) $ x $ y) = c $ (rat x) $ (rat y)
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      | rat ((c as Const("op *", _)) $ x $ y) = c $ (rat x) $ (rat y)
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      | rat ((c as Const("uminus", _)) $ x) = c $ (rat x)
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      | rat ((c as Const("RealDef.0r", _))) = c
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      | rat ((c as Const("RealDef.1r", _))) = c 
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      | rat (t as Const("Numeral.number_of", _) $ w) = t
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      | rat t = replace t
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    (*abstraction of an integer expression: no div, mod*)
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    fun int ((c as Const("op +", _)) $ x $ y) = c $ (int x) $ (int y)
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      | int ((c as Const("op -", _)) $ x $ y) = c $ (int x) $ (int y)
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      | int ((c as Const("op *", _)) $ x $ y) = c $ (int x) $ (int y)
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      | int ((c as Const("uminus", _)) $ x) = c $ (int x)
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      | int (t as Const("Numeral.number_of", _) $ w) = t
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      | int t = replace t
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    (*abstraction of a natural number expression: no minus*)
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    fun nat ((c as Const("op +", _)) $ x $ y) = c $ (nat x) $ (nat y)
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      | nat ((c as Const("op *", _)) $ x $ y) = c $ (nat x) $ (nat y)
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      | nat ((c as Const("Suc", _)) $ x) = c $ (nat x)
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      | nat (t as Const("0", _)) = t
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      | nat (t as Const("Numeral.number_of", _) $ w) = t
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      | nat t = replace t
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    (*abstraction of a relation: =, <, <=*)
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    fun rel (T, c $ x $ y) =
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	    if T = HOLogic.realT then c $ (rat x) $ (rat y)
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	    else if T = HOLogic.intT then c $ (int x) $ (int y)
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	    else if T = HOLogic.natT then c $ (nat x) $ (nat y)
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	    else if T = HOLogic.boolT then c $ (fm x) $ (fm y)
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	    else replace (c $ x $ y)   (*non-numeric comparison*)
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    (*abstraction of a formula*)
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    and fm ((c as Const("op &", _)) $ p $ q) = c $ (fm p) $ (fm q)
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      | fm ((c as Const("op |", _)) $ p $ q) = c $ (fm p) $ (fm q)
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      | fm ((c as Const("op -->", _)) $ p $ q) = c $ (fm p) $ (fm q)
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      | fm ((c as Const("Not", _)) $ p) = c $ (fm p)
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      | fm ((c as Const("True", _))) = c
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      | fm ((c as Const("False", _))) = c
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      | fm (t as Const("op =", Type ("fun", [T,_])) $ x $ y) = rel (T, t)
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      | fm (t as Const("op <", Type ("fun", [T,_])) $ x $ y) = rel (T, t)
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      | fm (t as Const("op <=", Type ("fun", [T,_])) $ x $ y) = rel (T, t)
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      | fm t = replace t
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    (*entry point, and abstraction of a meta-formula*)
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    fun mt ((c as Const("Trueprop", _)) $ p) = c $ (fm p)
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      | mt ((c as Const("==>", _)) $ p $ q)  = c $ (mt p) $ (mt q)
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      | mt t = fm t  (*it might be a formula*)
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  in (list_all (params, mt body), !pairs) end;
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(*Present the entire subgoal to the oracle, assumptions and all, but possibly
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  abstracted.  Use via compose_tac, which performs no lifting but will
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  instantiate variables.*)
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local val svc_thy = the_context () in
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fun svc_tac i st = 
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  let val prem = BasisLibrary.List.nth (prems_of st, i-1)
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      val (absPrem, _) = svc_abstract prem
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      val th = invoke_oracle svc_thy "svc_oracle"
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	             (#sign (rep_thm st), Svc.OracleExn absPrem)
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   in 
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      compose_tac (false, th, 0) i st
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   end 
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   handle Svc.OracleExn _ => Seq.empty
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	| Subscript       => Seq.empty;
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end;
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(*True if SVC appears to exist*)
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fun svc_enabled() = getenv "SVC_HOME" <> "";