Certificate for #5818 ⟨a, b, c | ab=a, aca=bb⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #3.

Referenced by [3], [4].

Axiom: aca=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] bb=aca:

Critical pair: aaca=ab.

Reduce RHS:

Defines rule #1.

Overlap of [2] bb=aca with [2] bb=aca:

Critical pair: baca=acab.

Reduce RHS:

Defines rule #2.