6.72/2.28 MAYBE 6.72/2.28 6.72/2.28 Problem: 6.72/2.28 gcd(z, y) -> gcd(x, y) <= iadd(z) = tp2(x, y) 6.72/2.28 gcd(y, z) -> gcd(x, y) <= iadd(z) = tp2(x, y) 6.72/2.28 gcd(x, 0()) -> x 6.72/2.28 gcd(0(), x) -> x 6.72/2.28 iadd(y) -> tp2(0(), y) 6.72/2.28 iadd(s(z)) -> u1(iadd(z)) 6.72/2.28 u1(tp2(x, y)) -> tp2(s(x), y) 6.72/2.28 iadd(add(x, y)) -> tp2(x, y) 6.72/2.28 6.72/2.28 Proof: 6.72/2.28 ConCon could not decide confluence of the system. 6.72/2.28 \cite{ALS94}, Theorem 4.1 does not apply. 6.72/2.28 ConCon could not decide whether all 16 critical pairs are joinable or not. 6.72/2.28 CP: x = gcd(y, 0()) <= iadd(x) = tp2(y, 0()): 6.72/2.28 ConCon could not decide infeasibility of this critical pair. 6.72/2.28 ConCon could not decide if this system is quasi-decreasing. 6.72/2.28 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 6.72/2.28 6.72/2.30 EOF