Certificate for #5372 ⟨a, b | ababbba=abbb⟩

Completion settings:

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

Axiom: ababbba=abbb.

Referenced by [3].

Axiom: abbb=c.

Defines rule #1.

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

Simplify [1] ababbba=abbb.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababbba=c with [2] abbb=c:

Critical pair: abca=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] abca=c with [2] abbb=c:

Critical pair: abcc=cbbb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] abca=c with [4] abca=c:

Critical pair: abcc=cbca.

Flip LHS and RHS.

Defines rule #4.