Certificate for #988 ⟨a, b, c | ab=a, cac=b⟩

Completion settings:

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

Axiom: ab=a.

Referenced by [3].

Axiom: cac=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [1] ab=a with [2] b=cac:

Critical pair: acac=a.

Referenced by [4], [5].

Overlap of [3] acac=a with [3] acac=a:

Critical pair: aca=aac.

Defines rule #1.

Referenced by [5].

Overlap of [3] acac=a with [4] aca=aac:

Critical pair: aacc=a.

Defines rule #2.