Certificate for #2354 ⟨a, b | abbabba=abb⟩

Completion settings:

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

Axiom: abbabba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Simplify [1] abbabba=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbabba=c with [2] abb=c:

Critical pair: cabba=c.

Reduce LHS:

Defines rule #2.

Referenced by [5].

Overlap of [4] cca=c with [2] abb=c:

Critical pair: ccc=cbb.

Flip LHS and RHS.

Defines rule #3.