Certificate for #7579 ⟨a, b, c | ab=1, caac=bc⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1

Axiom: ab=1.

Defines rule #5.

Referenced by [3].

Axiom: caac=bc.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3].

Overlap of [1] ab=1 with [2] bc=caac:

Critical pair: acaac=c.

Defines rule #3.

Referenced by [4], [5].

Overlap of [3] acaac=c with [3] acaac=c:

Critical pair: acac=caac.

Defines rule #2.

Referenced by [5].

Overlap of [4] acac=caac with [3] acaac=c:

Critical pair: acc=caacaac.

Reduce RHS:

Defines rule #1.