MAYBE 0.08/0.19 MAYBE 0.08/0.19 0.08/0.19 Problem: 0.08/0.19 inc(s(x)) -> s(inc(x)) 0.08/0.19 inc(0()) -> s(0()) 0.08/0.19 plus(x,y) -> ifPlus(eq(x,0()),minus(x,s(0())),x,inc(x)) 0.08/0.19 ifPlus(false(),x,y,z) -> plus(x,z) 0.08/0.19 ifPlus(true(),x,y,z) -> y 0.08/0.19 minus(s(x),s(y)) -> minus(x,y) 0.08/0.19 minus(0(),x) -> 0() 0.08/0.19 minus(x,0()) -> x 0.08/0.19 minus(x,x) -> 0() 0.08/0.19 eq(s(x),s(y)) -> eq(x,y) 0.08/0.19 eq(0(),s(x)) -> false() 0.08/0.19 eq(s(x),0()) -> false() 0.08/0.19 eq(0(),0()) -> true() 0.08/0.19 eq(x,x) -> true() 0.08/0.19 times(x,y) -> timesIter(x,y,0()) 0.08/0.19 timesIter(x,y,z) -> ifTimes(eq(x,0()),minus(x,s(0())),y,z,plus(y,z)) 0.08/0.19 ifTimes(true(),x,y,z,u) -> z 0.08/0.19 ifTimes(false(),x,y,z,u) -> timesIter(x,y,u) 0.08/0.19 f() -> g() 0.08/0.19 f() -> h() 0.08/0.19 0.08/0.19 Proof: 0.08/0.19 Open 0.08/0.19 EOF