Certificate for #1011 ⟨a, b | ab=a, baa=bb⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

Axiom: baa=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [1] ab=a with [2] bb=baa:

Critical pair: abaa=ab.

Reduce LHS:

Reduce RHS:

Defines rule #1.