Certificate for #13234 ⟨a, b | baa=abb, bab=ba⟩

Completion settings:

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

Axiom: baa=abb.

Referenced by [3], [4], [5], [6].

Axiom: bab=ba.

Referenced by [3], [4], [5].

Overlap of [2] bab=ba with [2] bab=ba:

Critical pair: baba=baab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [6].

Overlap of [2] bab=ba with [1] baa=abb:

Critical pair: baabb=baaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [2] bab=ba with [4] abba=abb:

Critical pair: babb=baba.

Reduce LHS:

Reduce RHS:

Defines rule #2.

Referenced by [6].

Overlap of [4] abba=abb with [1] baa=abb:

Critical pair: ababb=abba.

Reduce LHS:

Reduce RHS:

Defines rule #3.