Certificate for #20816 ⟨a, b | ab=aa, bbaaa=aa⟩

Completion settings:

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

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

Axiom: bbaaa=aa.

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

Overlap of [1] ab=aa with [2] bbaaa=aa:

Critical pair: aaa=aabaaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbaaa=aa with [3] aaaaaa=aaa:

Critical pair: bbaaa=aaaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [2] bbaaa=aa with [4] aaaaa=aa:

Critical pair: bbaa=aaaa.

Defines rule #2.