MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 gt(0(),y) -> false() 0.08/0.18 gt(s(x),0()) -> true() 0.08/0.18 gt(s(x),s(y)) -> gt(x,y) 0.08/0.18 plus(0(),y) -> y 0.08/0.18 plus(s(x),y) -> s(plus(x,y)) 0.08/0.18 double(0()) -> 0() 0.08/0.18 double(s(x)) -> s(s(double(x))) 0.08/0.18 average(x,y) -> aver(plus(x,y),0()) 0.08/0.18 aver(sum,z) -> if(gt(sum,double(z)),sum,z) 0.08/0.18 if(true(),sum,z) -> aver(sum,s(z)) 0.08/0.18 if(false(),sum,z) -> z 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.18 EOF