Certificate for #13171 ⟨a, b | aba=aab, bba=ab⟩

Completion settings:

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

Axiom: aba=aab.

Flip LHS and RHS.

Referenced by [3].

Axiom: bba=ab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3], [4].

Simplify [1] aab=aba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aab=bbaa with [2] ab=bba:

Critical pair: abba=bbaa.

Reduce LHS:

Defines rule #2.