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:

f(x, x) → a
f(g(x), y) → f(x, y)

Q is empty.


QTRS
  ↳ DirectTerminationProof

Q restricted rewrite system:
The TRS R consists of the following rules:

f(x, x) → a
f(g(x), y) → f(x, y)

Q is empty.

We use [23] with the following order to prove termination.

Lexicographic Path Order [19].
Precedence:
[f2, g1] > a