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:
app(app(apply, f), x) → app(f, x)
Q is empty.
↳ QTRS
↳ DirectTerminationProof
Q restricted rewrite system:
The TRS R consists of the following rules:
app(app(apply, f), x) → app(f, x)
Q is empty.
We use [23] with the following order to prove termination.
Recursive path order with status [2].
Precedence:
apply > app2
Status:
app2: multiset
apply: multiset