MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 minus(x,x) -> 0() 0.08/0.18 minus(0(),x) -> 0() 0.08/0.18 minus(x,0()) -> x 0.08/0.18 minus(s(x),s(y)) -> minus(x,y) 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 quot(x,y) -> if_quot(minus(x,y),y,le(y,0()),le(y,x)) 0.08/0.18 if_quot(x,y,true(),z) -> divByZeroError() 0.08/0.18 if_quot(x,y,false(),true()) -> s(quot(x,y)) 0.08/0.18 if_quot(x,y,false(),false()) -> 0() 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.18 EOF