MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 p(0()) -> 0() 0.08/0.18 p(s(X)) -> X 0.08/0.18 leq(0(),Y) -> true() 0.08/0.18 leq(s(X),0()) -> false() 0.08/0.18 leq(s(X),s(Y)) -> leq(X,Y) 0.08/0.18 if(true(),X,Y) -> activate(X) 0.08/0.18 if(false(),X,Y) -> activate(Y) 0.08/0.18 diff(X,Y) -> if(leq(X,Y),n__0(),n__s(n__diff(n__p(X),Y))) 0.08/0.18 0() -> n__0() 0.08/0.18 s(X) -> n__s(X) 0.08/0.18 diff(X1,X2) -> n__diff(X1,X2) 0.08/0.18 p(X) -> n__p(X) 0.08/0.18 activate(n__0()) -> 0() 0.08/0.18 activate(n__s(X)) -> s(activate(X)) 0.08/0.18 activate(n__diff(X1,X2)) -> diff(activate(X1),activate(X2)) 0.08/0.18 activate(n__p(X)) -> p(activate(X)) 0.08/0.18 activate(X) -> X 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF