Certificate for #5181 ⟨a, b | aab=ba, babb=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aab=ba.

Referenced by [3], [6], [7].

Axiom: babb=b.

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

Overlap of [1] aab=ba with [2] babb=b:

Critical pair: aab=baabb.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [3] bbab=ba with [2] babb=b:

Critical pair: bb=bab.

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [2] babb=b with [4] bab=bb:

Critical pair: bbb=b.

Defines rule #3.

Referenced by [6].

Overlap of [1] aab=ba with [5] bbb=b:

Critical pair: aab=babb.

Reduce LHS:

Reduce RHS:

Defines rule #1.

Referenced by [7].

Simplify [1] aab=ba.

Reduce RHS:

Defines rule #2.