Certificate for #25052 ⟨a, b | ab=a, bbaaaa=aa⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bbaaaa=aa.

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

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

Critical pair: aaa=abaaaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbaaaa=aa with [3] aaaaa=aaa:

Critical pair: bbaaa=aaa.

Referenced by [5], [6].

Overlap of [2] bbaaaa=aa with [4] bbaaa=aaa:

Critical pair: aaaa=aa.

Defines rule #2.

Referenced by [6].

Overlap of [4] bbaaa=aaa with [5] aaaa=aa:

Critical pair: bbaa=aaaa.

Reduce RHS:

Defines rule #3.