Certificate for #4167 ⟨a, b, c | aab=1, aaca=c⟩

Completion settings:

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

Axiom: aab=1.

Defines rule #5.

Referenced by [3].

Axiom: aaca=c.

Defines rule #2.

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

Overlap of [2] aaca=c with [1] aab=1:

Critical pair: aac=cab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

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

Critical pair: aacc=caca.

Defines rule #1.

Overlap of [2] aaca=c with [3] cab=aac:

Critical pair: aaaac=cb.

Flip LHS and RHS.

Defines rule #3.