Certificate for #8612 ⟨a, b | aa=a, abbabb=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

Axiom: abbabb=a.

Referenced by [3], [4].

Overlap of [2] abbabb=a with [2] abbabb=a:

Critical pair: abba=aabb.

Reduce RHS:

Defines rule #2.

Referenced by [4].

Overlap of [2] abbabb=a with [3] abba=abb:

Critical pair: abbbb=a.

Defines rule #3.