Certificate for #1930 ⟨a, b, c | abc=ab, aca=1⟩

Completion settings:

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

Axiom: abc=ab.

Referenced by [5].

Axiom: aca=1.

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

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

Critical pair: ac=ca.

Defines rule #1.

Referenced by [4], [5].

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

Critical pair: caa=1.

Defines rule #3.

Referenced by [5], [6].

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

Critical pair: acab=bc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [5] bc=b with [4] caa=1:

Critical pair: b=baa.

Flip LHS and RHS.

Defines rule #4.