Certificate for #6994 ⟨a, b, c | ab=1, bacba=c⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: ab=1.

Defines rule #1.

Referenced by [3], [4].

Axiom: bacba=c.

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

Overlap of [1] ab=1 with [2] bacba=c:

Critical pair: ac=acba.

Flip LHS and RHS.

Referenced by [6].

Overlap of [2] bacba=c with [1] ab=1:

Critical pair: bacb=cb.

Referenced by [5], [6].

Overlap of [2] bacba=c with [4] bacb=cb:

Critical pair: cba=c.

Defines rule #3.

Referenced by [6].

Overlap of [4] bacb=cb with [3] acba=ac:

Critical pair: bac=cba.

Reduce RHS:

Defines rule #2.