0.00/0.51 YES 0.00/0.51 0.00/0.51 Problem: 0.00/0.51 add(x, 0()) -> x 0.00/0.51 add(x, s(y)) -> s(add(x, y)) 0.00/0.51 quad(x) -> z <= add(x, x) = y, add(y, y) = z 0.00/0.51 0.00/0.51 Proof: 0.00/0.51 This system is confluent. 0.00/0.51 By \cite{SMI95}, Corollary 4.7 or 5.3. 0.00/0.51 This system is oriented. 0.00/0.51 This system is of type 3 or smaller. 0.00/0.51 This system is right-stable. 0.00/0.51 This system is properly oriented. 0.00/0.51 This is an overlay system. 0.00/0.51 This system is left-linear. 0.00/0.51 All 0 critical pairs are trivial or infeasible. 0.00/0.51 0.00/0.52 EOF