Certificate for #19737 ⟨a, b | aba=b, abaab=bb⟩

Completion settings:

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

Axiom: aba=b.

Defines rule #1.

Referenced by [2], [3], [4].

Axiom: abaab=bb.

Reduce LHS:

Defines rule #3.

Referenced by [4].

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

Critical pair: abb=bba.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aba=b with [2] bab=bb:

Critical pair: abb=bb.

Defines rule #2.

Referenced by [5].

Simplify [3] bba=abb.

Reduce RHS:

Defines rule #4.