Certificate for #1024 ⟨a, b, c | ab=c, aca=b⟩

Completion settings:

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

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: aca=b.

Reduce LHS:

Defines rule #2.

Referenced by [3].

Overlap of [2] aaba=b with [2] aaba=b:

Critical pair: aabb=baba.

Defines rule #1.