Certificate for #5286 ⟨a, b, c | ab=a, aaca=c⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

Axiom: aaca=c.

Defines rule #4.

Referenced by [3], [4].

Overlap of [2] aaca=c with [1] ab=a:

Critical pair: aaca=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] aaca=c with [2] aaca=c:

Critical pair: aacc=caca.

Defines rule #3.