5.41/2.01 MAYBE 5.41/2.01 5.41/2.01 Problem: 5.41/2.01 s(p(x)) -> x 5.41/2.01 p(s(x)) -> x 5.41/2.01 pos(0()) -> false() 5.41/2.01 pos(s(0())) -> true() 5.41/2.01 pos(s(x)) -> true() <= pos(x) = true() 5.41/2.01 pos(p(x)) -> false() <= pos(x) = false() 5.41/2.01 5.41/2.01 Proof: 5.41/2.01 ConCon could not decide confluence of the system. 5.41/2.01 \cite{ALS94}, Theorem 4.1 does not apply. 5.41/2.01 ConCon could not decide whether all 6 critical pairs are joinable or not. 5.41/2.01 CP: pos(x) = false() <= pos(s(x)) = false(): 5.41/2.01 ConCon could not decide infeasibility of this critical pair. 5.41/2.01 5.41/2.04 EOF