Certificate for #5927 ⟨a, b, c | ab=a, cac=ba⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3], [4].

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.

Defines rule #4.

Referenced by [4].

Overlap of [1] ab=a with [3] baac=caa:

Critical pair: acaa=aaac.

Flip LHS and RHS.

Defines rule #3.