Certificate for #5380 ⟨a, b | aab=ab, baa=ab⟩

Completion settings:

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

Axiom: aab=ab.

Referenced by [3].

Axiom: baa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] aab=ab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aab=baa with [2] ab=baa:

Critical pair: abaa=baa.

Reduce LHS:

Defines rule #1.