0.00/0.49 YES 0.00/0.49 0.00/0.49 Problem: 0.00/0.50 add(x, 0()) -> x 0.00/0.50 add(x, s(y)) -> s(z) <= add(x, y) = z 0.00/0.50 0.00/0.50 Proof: 0.00/0.50 This system is confluent. 0.00/0.50 By \cite{SMI95}, Corollary 4.7 or 5.3. 0.00/0.50 This system is oriented. 0.00/0.50 This system is of type 3 or smaller. 0.00/0.50 This system is right-stable. 0.00/0.50 This system is properly oriented. 0.00/0.50 This is an overlay system. 0.00/0.50 This system is left-linear. 0.00/0.50 All 0 critical pairs are trivial or infeasible. 0.00/0.50 0.00/0.50 EOF