Certificate for #5867 ⟨a, b, c | ab=a, bbb=ca⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bbb=ca.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [2] ca=bbb with [1] ab=a:

Critical pair: ca=bbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.