Certificate for #16340 ⟨a, b | aba=aa, aaab=aa⟩

Completion settings:

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

Axiom: aba=aa.

Defines rule #3.

Referenced by [3].

Axiom: aaab=aa.

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

Overlap of [2] aaab=aa with [1] aba=aa:

Critical pair: aaaa=aaa.

Referenced by [4].

Overlap of [3] aaaa=aaa with [2] aaab=aa:

Critical pair: aaa=aaab.

Reduce RHS:

Defines rule #1.

Referenced by [5].

Overlap of [2] aaab=aa with [4] aaa=aa:

Critical pair: aab=aa.

Defines rule #2.