Certificate for #266 ⟨a, b | abba=abb⟩

Completion settings:

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

Axiom: abba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #2.

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

Simplify [1] abba=abb.

Reduce RHS:

Referenced by [4].

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

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: cc=cbb.

Flip LHS and RHS.

Defines rule #3.