0.00/0.00 NO 0.00/0.00 We consider the system theBenchmark. 0.00/0.00 0.00/0.00 Alphabet: 0.00/0.00 0.00/0.00 f : [a -> a] --> b 0.00/0.00 g : [a -> a] --> a -> a 0.00/0.00 0.00/0.00 Rules: 0.00/0.00 0.00/0.00 g(h) x => x 0.00/0.00 f(h) => f(g(h)) 0.00/0.00 0.00/0.00 This AFS is converted to an AFSM simply by replacing all free variables by meta-variables (with arity 0). 0.00/0.00 0.00/0.00 It is easy to see that this system is non-terminating: 0.00/0.00 0.00/0.00 f(h) 0.00/0.00 => f(g(h)) 0.00/0.00 0.00/0.00 That is, a term s reduces to a term t which instantiates s. 0.00/0.00 0.00/0.00 EOF