MAYBE 0.08/0.19 MAYBE 0.08/0.19 0.08/0.19 Problem: 0.08/0.19 a__p(0()) -> 0() 0.08/0.19 a__p(s(X)) -> mark(X) 0.08/0.19 a__leq(0(),Y) -> true() 0.08/0.19 a__leq(s(X),0()) -> false() 0.08/0.19 a__leq(s(X),s(Y)) -> a__leq(mark(X),mark(Y)) 0.08/0.19 a__if(true(),X,Y) -> mark(X) 0.08/0.19 a__if(false(),X,Y) -> mark(Y) 0.08/0.19 a__diff(X,Y) -> a__if(a__leq(mark(X),mark(Y)),0(),s(diff(p(X),Y))) 0.08/0.19 mark(p(X)) -> a__p(mark(X)) 0.08/0.19 mark(leq(X1,X2)) -> a__leq(mark(X1),mark(X2)) 0.08/0.19 mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3) 0.08/0.19 mark(diff(X1,X2)) -> a__diff(mark(X1),mark(X2)) 0.08/0.19 mark(0()) -> 0() 0.08/0.19 mark(s(X)) -> s(mark(X)) 0.08/0.19 mark(true()) -> true() 0.08/0.19 mark(false()) -> false() 0.08/0.19 a__p(X) -> p(X) 0.08/0.19 a__leq(X1,X2) -> leq(X1,X2) 0.08/0.19 a__if(X1,X2,X3) -> if(X1,X2,X3) 0.08/0.19 a__diff(X1,X2) -> diff(X1,X2) 0.08/0.19 0.08/0.19 Proof: 0.08/0.19 Open 0.08/0.19 EOF