Termination w.r.t. Q of the following Term Rewriting System could be proven:
Q restricted rewrite system:
The TRS R consists of the following rules:
a(b(x)) → b(a(x))
a(c(x)) → x
Q is empty.
↳ QTRS
↳ DirectTerminationProof
Q restricted rewrite system:
The TRS R consists of the following rules:
a(b(x)) → b(a(x))
a(c(x)) → x
Q is empty.
We use [23] with the following order to prove termination.
Lexicographic path order with status [19].
Precedence:
a1 > b1
Status:
trivial