MAYBE 0.08/0.19 MAYBE 0.08/0.19 0.08/0.19 Problem: 0.08/0.19 max(nil()) -> 0() 0.08/0.19 max(cons(x,nil())) -> x 0.08/0.19 max(cons(x,cons(y,xs))) -> if1(ge(x,y),x,y,xs) 0.08/0.19 if1(true(),x,y,xs) -> max(cons(x,xs)) 0.08/0.19 if1(false(),x,y,xs) -> max(cons(y,xs)) 0.08/0.19 del(x,nil()) -> nil() 0.08/0.19 del(x,cons(y,xs)) -> if2(eq(x,y),x,y,xs) 0.08/0.19 if2(true(),x,y,xs) -> xs 0.08/0.19 if2(false(),x,y,xs) -> cons(y,del(x,xs)) 0.08/0.19 eq(0(),0()) -> true() 0.08/0.19 eq(0(),s(y)) -> false() 0.08/0.19 eq(s(x),0()) -> false() 0.08/0.19 eq(s(x),s(y)) -> eq(x,y) 0.08/0.19 sort(nil()) -> nil() 0.08/0.19 sort(cons(x,xs)) -> cons(max(cons(x,xs)),sort(del(max(cons(x,xs)),cons(x,xs)))) 0.08/0.19 ge(x,0()) -> true() 0.08/0.19 ge(0(),s(x)) -> false() 0.08/0.19 ge(s(x),s(y)) -> ge(x,y) 0.08/0.19 0.08/0.19 Proof: 0.08/0.19 Open 0.08/0.19 EOF