Certificate for #5984 ⟨a, b, c | ab=a, ccc=ca⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

Axiom: ccc=ca.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

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

Critical pair: ca=cccb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.