Certificate for #535 ⟨a, b | aabba=bba⟩

Completion settings:

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

Axiom: aabba=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #2.

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

Simplify [1] aabba=bba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabba=c with [2] bba=c:

Critical pair: aac=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: bbc=cac.

Defines rule #3.