Certificate for #589 ⟨a, b | baba=abab⟩

Completion settings:

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

Axiom: baba=abab.

Referenced by [3].

Axiom: abab=c.

Defines rule #3.

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

Simplify [1] baba=abab.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

Overlap of [3] baba=c with [2] abab=c:

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] abab=c with [3] baba=c:

Critical pair: ac=ca.

Flip LHS and RHS.

Defines rule #1.