Certificate for #5395 ⟨a, b | aab=ba, abb=ba⟩

Completion settings:

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

Axiom: aab=ba.

Referenced by [3].

Axiom: abb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] aab=ba.

Reduce RHS:

Defines rule #3.

Referenced by [4].

Overlap of [3] aab=abb with [2] ba=abb:

Critical pair: aaabb=abba.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.