Certificate for #4741 ⟨a, b | abab=a, abba=a⟩

Completion settings:

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

Axiom: abab=a.

Referenced by [3], [4].

Axiom: abba=a.

Defines rule #3.

Referenced by [4].

Overlap of [1] abab=a with [1] abab=a:

Critical pair: aba=aab.

Defines rule #1.

Referenced by [4].

Overlap of [2] abba=a with [1] abab=a:

Critical pair: abba=abab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.