Certificate for #5211 ⟨a, b | aab=bb, baba=b⟩

Completion settings:

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

Axiom: aab=bb.

Defines rule #4.

Referenced by [5].

Axiom: baba=b.

Referenced by [3], [4].

Overlap of [2] baba=b with [2] baba=b:

Critical pair: bab=bba.

Defines rule #2.

Referenced by [4].

Overlap of [2] baba=b with [3] bab=bba:

Critical pair: bbaa=b.

Referenced by [5], [6], [7].

Overlap of [4] bbaa=b with [1] aab=bb:

Critical pair: bbbb=bb.

Referenced by [6].

Overlap of [5] bbbb=bb with [4] bbaa=b:

Critical pair: bbb=bbaa.

Reduce RHS:

Defines rule #1.

Referenced by [7].

Overlap of [6] bbb=b with [4] bbaa=b:

Critical pair: bb=baa.

Flip LHS and RHS.

Defines rule #3.