Certificate for #2992 ⟨a, b | ab=a, bbbaa=a⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

Axiom: bbbaa=a.

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

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

Critical pair: aa=abbaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbbaa=a with [3] aaa=aa:

Critical pair: bbbaa=aa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

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

Critical pair: bbba=a.

Defines rule #3.