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(x,0()) -> x 0.08/0.18 minus(s(x),s(y)) -> minus(x,y) 0.08/0.18 mod(0(),y) -> 0() 0.08/0.18 mod(s(x),0()) -> 0() 0.08/0.18 mod(s(x),s(y)) -> if_mod(le(y,x),s(x),s(y)) 0.08/0.18 if_mod(true(),s(x),s(y)) -> mod(minus(x,y),s(y)) 0.08/0.18 if_mod(false(),s(x),s(y)) -> s(x) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.18 EOF