Termination w.r.t. Q proof of TRS/LJB01jones1.trs

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:

rev(ls) → r1(ls, empty)
r1(empty, a) → a
r1(cons(x, k), a) → r1(k, cons(x, a))

Q is empty.

↳ QTRS

  ↳ DirectTerminationProof

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

rev(ls) → r1(ls, empty)
r1(empty, a) → a
r1(cons(x, k), a) → r1(k, cons(x, a))

Q is empty.

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

Lexicographic path order with status [19].
Precedence:

rev₁ > r1₂ > cons₂
rev₁ > empty

Status:

r1₂: [1,2]