Certificate for #4703 ⟨a, b | aaba=a, abab=b⟩

Completion settings:

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

Axiom: aaba=a.

Defines rule #2.

Referenced by [3].

Axiom: abab=b.

Referenced by [3], [4].

Overlap of [1] aaba=a with [2] abab=b:

Critical pair: aabb=abab.

Reduce RHS:

Defines rule #3.

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

Critical pair: abb=bab.

Flip LHS and RHS.

Defines rule #1.