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.

Recursive path order with status [2].
Precedence:

rev₁ > r1₂ > cons₂
rev₁ > empty > cons₂

Status:

rev₁: multiset
empty: multiset
cons₂: multiset
r1₂: [1,2]