Certificate for #16305 ⟨a, b | aab=bb, baaa=aa⟩

Completion settings:

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

Axiom: aab=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Axiom: baaa=aa.

Referenced by [3], [4].

Overlap of [1] bb=aab with [2] baaa=aa:

Critical pair: baa=aabaaa.

Reduce RHS:

Defines rule #2.

Referenced by [4].

Overlap of [2] baaa=aa with [3] baa=aaaa:

Critical pair: aaaaa=aa.

Defines rule #1.