# HG changeset patch # User mengj # Date 1134622046 -3600 # Node ID 080094128a09304304dec5e53f564117e9f50f35 # Parent 07da804d11194c111d7f9943f395d2805e649b74 Added functions to test equivalence between clauses. diff -r 07da804d1119 -r 080094128a09 src/HOL/Tools/res_clause.ML --- a/src/HOL/Tools/res_clause.ML Wed Dec 14 22:05:22 2005 +0100 +++ b/src/HOL/Tools/res_clause.ML Thu Dec 15 05:47:26 2005 +0100 @@ -537,6 +537,107 @@ fun sort_lits lits = sort literal_ord lits; +(********** clause equivalence ******************) + +fun check_var_pairs (x,y) [] = 0 + | check_var_pairs (x,y) ((u,v)::w) = + if (x,y) = (u,v) then 1 + else + if (x = u) orelse (y = v) then 2 (*conflict*) + else check_var_pairs (x,y) w; + + +fun type_eq (AtomV(v1),AtomV(v2)) (vars,tvars) = + (case check_var_pairs (v1,v2) tvars of 0 => (true,(vars,(v1,v2)::tvars)) + | 1 => (true,(vars,tvars)) + | 2 => (false,(vars,tvars))) + | type_eq (AtomV(_),_) vtvars = (false,vtvars) + | type_eq (AtomF(f1),AtomF(f2)) vtvars = (f1=f2,vtvars) + | type_eq (AtomF(_),_) vtvars = (false,vtvars) + | type_eq (Comp(con1,args1),Comp(con2,args2)) vtvars = + let val (eq1,vtvars1) = + if (con1 = con2) then types_eq (args1,args2) vtvars + else (false,vtvars) + in + (eq1,vtvars1) + end + | type_eq (Comp(_,_),_) vtvars = (false,vtvars) + +and + +types_eq ([],[]) vtvars = (true,vtvars) +| types_eq (tp1::tps1,tp2::tps2) vtvars = + let val (eq1,vtvars1) = type_eq (tp1,tp2) vtvars + val (eq2,vtvars2) = if eq1 then types_eq (tps1,tps2) vtvars1 + else (eq1,vtvars1) + in + (eq2,vtvars2) + end; + + +fun term_eq (UVar(v1,tp1),UVar(v2,tp2)) (vars,tvars) = + (case check_var_pairs (v1,v2) vars of 0 => type_eq (tp1,tp2) (((v1,v2)::vars),tvars) + | 1 => type_eq (tp1,tp2) (vars,tvars) + | 2 => (false,(vars,tvars))) + | term_eq (UVar(_,_),_) vtvars = (false,vtvars) + | term_eq (Fun(f1,tps1,tms1),Fun(f2,tps2,tms2)) vtvars = + let val (eq1,vtvars1) = + if (f1 = f2) then terms_eq (tms1,tms2) vtvars + else (false,vtvars) + val (eq2,vtvars2) = + if eq1 then types_eq (tps1,tps2) vtvars1 + else (eq1,vtvars1) + in + (eq2,vtvars2) + end + | term_eq (Fun(_,_,_),_) vtvars = (false,vtvars) + +and + +terms_eq ([],[]) vtvars = (true,vtvars) +| terms_eq (tm1::tms1,tm2::tms2) vtvars = + let val (eq1,vtvars1) = term_eq (tm1,tm2) vtvars + val (eq2,vtvars2) = if eq1 then terms_eq (tms1,tms2) vtvars1 + else (eq1,vtvars1) + in + (eq2,vtvars2) + end; + + +fun pred_eq (Predicate(predname1,tps1,tms1),Predicate(predname2,tps2,tms2)) vtvars = + let val (eq1,vtvars1) = + if (predname1 = predname2) then terms_eq (tms1,tms2) vtvars + else (false,vtvars) + val (eq2,vtvars2) = + if eq1 then types_eq (tps1,tps2) vtvars1 + else (eq1,vtvars1) + in + (eq2,vtvars2) + end; + + +fun lit_eq (Literal(pol1,pred1,_),Literal(pol2,pred2,_)) vtvars = + if (pol1 = pol2) then pred_eq (pred1,pred2) vtvars + else (false,vtvars); + +(*must have the same number of literals*) +fun lits_eq ([],[]) vtvars = (true,vtvars) + | lits_eq (l1::ls1,l2::ls2) vtvars = + let val (eq1,vtvars1) = lit_eq (l1,l2) vtvars + in + if eq1 then lits_eq (ls1,ls2) vtvars1 + else (false,vtvars1) + end; + + +fun cls_eq (cls1,cls2) = + let val lits1 = get_literals cls1 + val lits2 = get_literals cls2 + in + (length lits1 = length lits2) andalso (fst (lits_eq (lits1,lits2) ([],[]))) + end; + + (* FIX: not sure what to do with these funcs *)