Certificate for #2854 ⟨a, b, c | aaa=b, ccc=b⟩

Completion settings:

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

Axiom: aaa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: ccc=b.

Reduce RHS:

Defines rule #1.

Referenced by [3].

Overlap of [2] ccc=aaa with [2] ccc=aaa:

Critical pair: caaa=aaac.

Defines rule #2.