Certificate for #4712 ⟨a, b | aaba=a, bbaa=a⟩

Completion settings:

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

Axiom: aaba=a.

Defines rule #2.

Referenced by [3], [4].

Axiom: bbaa=a.

Referenced by [3], [4].

Overlap of [2] bbaa=a with [1] aaba=a:

Critical pair: bba=aba.

Defines rule #1.

Referenced by [4].

Overlap of [2] bbaa=a with [1] aaba=a:

Critical pair: bbaa=aaba.

Reduce LHS:

Reduce RHS:

Defines rule #3.