Certificate for #20297 ⟨a, b | aba=b, abbb=bab⟩

Completion settings:

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

Axiom: aba=b.

Defines rule #1.

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

Axiom: abbb=bab.

Referenced by [4], [5].

Overlap of [1] aba=b with [1] aba=b:

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [3] bba=abb with [1] aba=b:

Critical pair: bbb=abbba.

Reduce RHS:

Defines rule #4.

Referenced by [5].

Simplify [2] abbb=bab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [1] aba=b with [5] bab=abb:

Critical pair: aabb=bb.

Defines rule #5.