7.03/2.45 MAYBE 7.03/2.45 7.03/2.45 Problem: 7.03/2.45 gcd(z, y) -> gcd(x, y) <= iadd(z) = tp2(x, y) 7.03/2.45 gcd(y, z) -> gcd(x, y) <= iadd(z) = tp2(x, y) 7.03/2.45 gcd(x, 0()) -> x 7.03/2.45 gcd(0(), x) -> x 7.03/2.45 iadd(y) -> tp2(0(), y) 7.03/2.45 iadd(s(z)) -> tp2(s(x), y) <= iadd(z) = tp2(x, y) 7.03/2.45 iadd(add(x, y)) -> tp2(x, y) 7.03/2.45 7.03/2.45 Proof: 7.03/2.45 ConCon could not decide confluence of the system. 7.03/2.45 \cite{ALS94}, Theorem 4.1 does not apply. 7.03/2.45 ConCon could not decide whether all 16 critical pairs are joinable or not. 7.03/2.45 CP: x = gcd(y, 0()) <= iadd(x) = tp2(y, 0()): 7.03/2.45 ConCon could not decide infeasibility of this critical pair. 7.03/2.45 ConCon could not decide if this system is quasi-decreasing. 7.03/2.45 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 7.03/2.45 7.03/2.46 EOF