Certificate for #52 ⟨a, b | aba=ab⟩

Completion settings:

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

Axiom: aba=ab.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

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

Simplify [1] aba=ab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aba=c with [2] ab=c:

Critical pair: ca=c.

Defines rule #2.

Referenced by [5].

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

Critical pair: cc=cb.

Flip LHS and RHS.

Defines rule #3.