Certificate for #6345 ⟨a, b | aab=a, abbab=b⟩

Completion settings:

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

Axiom: aab=a.

Defines rule #1.

Referenced by [3].

Axiom: abbab=b.

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

Overlap of [1] aab=a with [2] abbab=b:

Critical pair: ab=abab.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] abbab=b with [3] abab=ab:

Critical pair: abbab=bab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] abab=ab with [2] abbab=b:

Critical pair: abb=abbab.

Reduce RHS:

Defines rule #2.