Certificate for #19110 ⟨a, b | aba=a, aabbaa=a⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #1.

Axiom: aabbaa=a.

Referenced by [3], [4].

Overlap of [2] aabbaa=a with [2] aabbaa=a:

Critical pair: aabba=abbaa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [2] aabbaa=a with [3] abbaa=aabba:

Critical pair: aaabba=a.

Defines rule #3.