MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 le(0(),y) -> true() 0.08/0.18 le(s(x),0()) -> false() 0.08/0.18 le(s(x),s(y)) -> le(x,y) 0.08/0.18 minus(0(),y) -> 0() 0.08/0.18 minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) 0.08/0.18 if_minus(true(),s(x),y) -> 0() 0.08/0.18 if_minus(false(),s(x),y) -> s(minus(x,y)) 0.08/0.18 gcd(0(),y) -> y 0.08/0.18 gcd(s(x),0()) -> s(x) 0.08/0.18 gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.08/0.18 if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 0.08/0.18 if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF