Certificate for #8824 ⟨a, b | ab=a, bbbaaa=a⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bbbaaa=a.

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

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

Critical pair: aa=abbaaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

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

Critical pair: bbbaa=aa.

Referenced by [5], [6].

Overlap of [2] bbbaaa=a with [4] bbbaa=aa:

Critical pair: aaa=a.

Defines rule #2.

Referenced by [6].

Overlap of [4] bbbaa=aa with [5] aaa=a:

Critical pair: bbba=aaa.

Reduce RHS:

Defines rule #3.