Certificate for #19676 ⟨a, b | aba=a, abbab=bb⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #1.

Referenced by [3], [6].

Axiom: abbab=bb.

Referenced by [3], [4].

Overlap of [2] abbab=bb with [1] aba=a:

Critical pair: abba=bba.

Referenced by [4], [5].

Overlap of [2] abbab=bb with [3] abba=bba:

Critical pair: bbab=bb.

Defines rule #4.

Referenced by [5].

Overlap of [3] abba=bba with [4] bbab=bb:

Critical pair: abb=bbab.

Reduce RHS:

Defines rule #2.

Referenced by [6].

Overlap of [1] aba=a with [5] abb=bb:

Critical pair: abbb=abb.

Reduce LHS:

Reduce RHS:

Defines rule #3.