MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 minus(0(),x) -> 0() 0.08/0.18 minus(s(x),0()) -> s(x) 0.08/0.18 minus(s(x),s(y)) -> minus(x,y) 0.08/0.18 mod(x,0()) -> 0() 0.08/0.18 mod(x,s(y)) -> if(lt(x,s(y)),x,s(y)) 0.08/0.18 if(true(),x,y) -> x 0.08/0.18 if(false(),x,y) -> mod(minus(x,y),y) 0.08/0.18 gcd(x,0()) -> x 0.08/0.18 gcd(0(),s(y)) -> s(y) 0.08/0.18 gcd(s(x),s(y)) -> gcd(mod(s(x),s(y)),mod(s(y),s(x))) 0.08/0.18 lt(x,0()) -> false() 0.08/0.18 lt(0(),s(x)) -> true() 0.08/0.18 lt(s(x),s(y)) -> lt(x,y) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF