Certificate for #1045 ⟨a, b, c | ab=c, cac=a⟩

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: cac=a.

Reduce LHS:

Defines rule #2.

Referenced by [3].

Overlap of [2] abaab=a with [2] abaab=a:

Critical pair: abaa=aaab.

Flip LHS and RHS.

Defines rule #1.