Certificate for #1883 ⟨a, b, c | aba=bc, ccc=1⟩

Completion settings:

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

Axiom: aba=bc.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

Axiom: ccc=1.

Defines rule #3.

Referenced by [3].

Overlap of [1] bc=aba with [2] ccc=1:

Critical pair: b=abacc.

Flip LHS and RHS.

Defines rule #2.