Certificate for #2505 ⟨a, b | aababa=baba⟩

Completion settings:

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

Axiom: aababa=baba.

Referenced by [3].

Axiom: baba=c.

Defines rule #3.

Referenced by [3], [4], [5], [6].

Simplify [1] aababa=baba.

Reduce RHS:

Referenced by [4].

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

Critical pair: aac=c.

Defines rule #1.

Referenced by [6].

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

Critical pair: bac=cba.

Defines rule #2.

Overlap of [2] baba=c with [4] aac=c:

Critical pair: babc=cac.

Defines rule #4.