Certificate for #12224 ⟨a, b | aaab=aa, abbb=a⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = 1

Axiom: aaab=aa.

Referenced by [3], [4], [5].

Axiom: abbb=a.

Defines rule #3.

Referenced by [3].

Overlap of [1] aaab=aa with [2] abbb=a:

Critical pair: aaa=aabb.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaab=aa with [3] aabb=aaa:

Critical pair: aaaa=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [1] aaab=aa with [4] aab=aaaa:

Critical pair: aaaaa=aa.

Defines rule #1.