Certificate for #9082 ⟨a, b | ab=a, bbaaa=ba⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bbaaa=ba.

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

Overlap of [1] ab=a with [2] bbaaa=ba:

Critical pair: aba=abaaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] bbaaa=ba with [3] aaaa=aa:

Critical pair: bbaa=baa.

Referenced by [5], [6].

Overlap of [2] bbaaa=ba with [4] bbaa=baa:

Critical pair: baaa=ba.

Defines rule #4.

Referenced by [6].

Overlap of [4] bbaa=baa with [5] baaa=ba:

Critical pair: bba=baaa.

Reduce RHS:

Defines rule #2.