Certificate for #20205 ⟨a, b | aba=a, aabb=bbb⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #4.

Referenced by [3].

Axiom: aabb=bbb.

Defines rule #3.

Referenced by [3], [4].

Overlap of [1] aba=a with [2] aabb=bbb:

Critical pair: abbbb=aabb.

Reduce RHS:

Referenced by [4], [5].

Overlap of [2] aabb=bbb with [3] abbbb=bbb:

Critical pair: abbb=bbbbb.

Defines rule #2.

Referenced by [5].

Overlap of [3] abbbb=bbb with [4] abbb=bbbbb:

Critical pair: bbbbbb=bbb.

Defines rule #1.