Certificate for #1271 ⟨a, b | abbba=abbb⟩

Completion settings:

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

Axiom: abbba=abbb.

Referenced by [3].

Axiom: abbb=c.

Defines rule #2.

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

Simplify [1] abbba=abbb.

Reduce RHS:

Referenced by [4].

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

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: cc=cbbb.

Flip LHS and RHS.

Defines rule #3.