Certificate for #15965 ⟨a, b | aaa=aa, abba=ab⟩

Completion settings:

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

Axiom: aaa=aa.

Defines rule #1.

Referenced by [3].

Axiom: abba=ab.

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

Overlap of [2] abba=ab with [1] aaa=aa:

Critical pair: abbaa=abaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] abba=ab with [3] abaa=aba:

Critical pair: abbaba=abbaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] abba=ab with [4] aba=ab:

Critical pair: abbab=abba.

Reduce LHS:

Reduce RHS:

Defines rule #3.