Certificate for #3565 ⟨a, b, c | ab=aa, cc=ba⟩

Completion settings:

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

Axiom: ab=aa.

Defines rule #1.

Referenced by [4].

Axiom: cc=ba.

Defines rule #4.

Referenced by [3].

Overlap of [2] cc=ba with [2] cc=ba:

Critical pair: cba=bac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [1] ab=aa with [3] bac=cba:

Critical pair: acba=aaac.

Flip LHS and RHS.

Defines rule #3.