Certificate for #1678 ⟨a, b, c | aab=bb, aca=1⟩

Completion settings:

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

Axiom: aab=bb.

Defines rule #2.

Referenced by [4].

Axiom: aca=1.

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

Overlap of [2] aca=1 with [2] aca=1:

Critical pair: ac=ca.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

Overlap of [3] ca=ac with [1] aab=bb:

Critical pair: cbb=acab.

Reduce RHS:

Defines rule #4.

Overlap of [2] aca=1 with [3] ca=ac:

Critical pair: aac=1.

Defines rule #3.