Certificate for #2767 ⟨a, b | babab=ababa⟩

Completion settings:

• Auxiliary generators:
  1. c = ababa
• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: babab=ababa.

Referenced by [3].

Axiom: ababa=c.

Defines rule #3.

Referenced by [3], [4], [5].

Simplify [1] babab=ababa.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

Overlap of [3] babab=c with [2] ababa=c:

Critical pair: bc=ca.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] ababa=c with [3] babab=c:

Critical pair: ac=cb.

Flip LHS and RHS.

Defines rule #2.