Certificate for #15944 ⟨a, b | aba=bb, bbbbb=b⟩

Completion settings:

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

Axiom: aba=bb.

Referenced by [3], [6].

Axiom: bbbbb=b.

Defines rule #3.

Referenced by [4], [5], [7].

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

Critical pair: abbb=bbba.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] bbbbb=b with [3] bbba=abbb:

Critical pair: bbbabbb=bba.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [2] bbbbb=b with [4] bba=abb:

Critical pair: bbbabb=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [6].

Overlap of [5] ba=ab with [1] aba=bb:

Critical pair: bbb=abba.

Reduce RHS:

Flip LHS and RHS.

Referenced by [7].

Overlap of [6] aabb=bbb with [2] bbbbb=b:

Critical pair: aab=bbbbbb.

Reduce RHS:

Defines rule #2.