Certificate for #6705 ⟨a, b | aab=b, baba=bb⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

Axiom: baba=bb.

Defines rule #4.

Referenced by [3], [4], [5].

Overlap of [2] baba=bb with [1] aab=b:

Critical pair: babb=bbab.

Referenced by [4], [6].

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

Critical pair: babb=bbba.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] bbab=bbba with [2] baba=bb:

Critical pair: bbb=bbbaa.

Flip LHS and RHS.

Defines rule #5.

Simplify [3] babb=bbab.

Reduce RHS:

Defines rule #3.