MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 diff(x,y) -> cond1(equal(x,y),x,y) 0.08/0.18 cond1(true(),x,y) -> 0() 0.08/0.18 cond1(false(),x,y) -> cond2(gt(x,y),x,y) 0.08/0.18 cond2(true(),x,y) -> s(diff(x,s(y))) 0.08/0.18 cond2(false(),x,y) -> s(diff(s(x),y)) 0.08/0.18 gt(0(),v) -> false() 0.08/0.18 gt(s(u),0()) -> true() 0.08/0.18 gt(s(u),s(v)) -> gt(u,v) 0.08/0.18 equal(0(),0()) -> true() 0.08/0.18 equal(s(x),0()) -> false() 0.08/0.18 equal(0(),s(y)) -> false() 0.08/0.18 equal(s(x),s(y)) -> equal(x,y) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF