Certificate for #5753 ⟨a, b | aaab=1, abaab=b⟩

Completion settings:

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

Axiom: aaab=1.

Defines rule #2.

Axiom: abaab=b.

Referenced by [3], [4].

Overlap of [2] abaab=b with [2] abaab=b:

Critical pair: abab=baab.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [3] baab=abab with [2] abaab=b:

Critical pair: bab=ababaab.

Reduce RHS:

Defines rule #1.

Referenced by [5].

Simplify [3] baab=abab.

Reduce RHS:

Defines rule #3.