Certificate for #25084 ⟨a, b | ab=a, bbbaaa=aa⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bbbaaa=aa.

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

Overlap of [1] ab=a with [2] bbbaaa=aa:

Critical pair: aaa=abbaaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbbaaa=aa with [3] aaaa=aaa:

Critical pair: bbbaaa=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] bbbaaa=aa with [4] aaa=aa:

Critical pair: bbbaa=aa.

Defines rule #3.