Certificate for #2123 ⟨a, b | aba=b, bbbb=b⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3], [5].

Axiom: bbbb=b.

Defines rule #3.

Referenced by [4], [6].

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

Critical pair: abb=bba.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] bbbb=b with [3] bba=abb:

Critical pair: bbabb=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

Overlap of [4] ba=ab with [1] aba=b:

Critical pair: bb=abba.

Reduce RHS:

Flip LHS and RHS.

Referenced by [6].

Overlap of [5] aabb=bb with [2] bbbb=b:

Critical pair: aab=bbbb.

Reduce RHS:

Defines rule #2.