Certificate for #9124 ⟨a, b | aa=a, aaab=bba⟩

Completion settings:

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

Axiom: aa=a.

Defines rule #3.

Referenced by [2], [3].

Axiom: aaab=bba.

Reduce LHS:

Defines rule #2.

Referenced by [3].

Overlap of [1] aa=a with [2] ab=bba:

Critical pair: abba=ab.

Reduce LHS:

Reduce RHS:

Defines rule #1.