MAYBE 0.07/0.19 MAYBE 0.07/0.19 0.07/0.19 Problem: 0.07/0.19 div(x,y) -> div2(x,y,0()) 0.07/0.19 div2(x,y,i) -> if1(le(y,0()),le(y,x),x,y,plus(i,0()),inc(i)) 0.07/0.19 if1(true(),b,x,y,i,j) -> divZeroError() 0.07/0.19 if1(false(),b,x,y,i,j) -> if2(b,x,y,i,j) 0.07/0.19 if2(true(),x,y,i,j) -> div2(minus(x,y),y,j) 0.07/0.19 if2(false(),x,y,i,j) -> i 0.07/0.19 inc(0()) -> 0() 0.07/0.19 inc(s(i)) -> s(inc(i)) 0.07/0.19 le(s(x),0()) -> false() 0.07/0.19 le(0(),y) -> true() 0.07/0.19 le(s(x),s(y)) -> le(x,y) 0.07/0.19 minus(x,0()) -> x 0.07/0.19 minus(0(),y) -> 0() 0.07/0.19 minus(s(x),s(y)) -> minus(x,y) 0.07/0.19 plus(x,y) -> plusIter(x,y,0()) 0.07/0.19 plusIter(x,y,z) -> ifPlus(le(x,z),x,y,z) 0.07/0.19 ifPlus(true(),x,y,z) -> y 0.07/0.19 ifPlus(false(),x,y,z) -> plusIter(x,s(y),s(z)) 0.07/0.19 a() -> c() 0.07/0.19 a() -> d() 0.07/0.19 0.07/0.19 Proof: 0.07/0.19 Open 0.07/0.19 EOF