Certificate for #5464 ⟨a, b, c | ab=a, ccac=a⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Axiom: ccac=a.

Defines rule #2.

Referenced by [3], [4].

Overlap of [2] ccac=a with [2] ccac=a:

Critical pair: ccaa=acac.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

Overlap of [2] ccac=a with [3] acac=ccaa:

Critical pair: ccccaa=aac.

Flip LHS and RHS.

Defines rule #3.