Certificate for #1533 ⟨a, b, c | ab=1, cac=ba⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #1.

Referenced by [3], [4], [6].

Axiom: cac=ba.

Defines rule #2.

Referenced by [3].

Overlap of [2] cac=ba with [2] cac=ba:

Critical pair: caba=baac.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [1] ab=1 with [3] baac=ca:

Critical pair: aca=aac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [3] baac=ca with [4] aac=aca:

Critical pair: baca=ca.

Referenced by [6].

Overlap of [5] baca=ca with [1] ab=1:

Critical pair: bac=cab.

Reduce RHS:

Defines rule #4.