MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 half(x) -> if(ge(x,s(s(0()))),x) 0.08/0.18 if(false(),x) -> 0() 0.08/0.18 if(true(),x) -> s(half(p(p(x)))) 0.08/0.18 p(0()) -> 0() 0.08/0.18 p(s(x)) -> x 0.08/0.18 ge(x,0()) -> true() 0.08/0.18 ge(0(),s(x)) -> false() 0.08/0.18 ge(s(x),s(y)) -> ge(x,y) 0.08/0.18 log(0()) -> 0() 0.08/0.18 log(s(x)) -> s(log(half(s(x)))) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.18 EOF