Certificate for #16188 ⟨a, b | aab=ab, baba=bb⟩

Completion settings:

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

Axiom: aab=ab.

Defines rule #1.

Referenced by [3].

Axiom: baba=bb.

Defines rule #2.

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

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

Critical pair: babab=bbab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

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

Critical pair: babb=bbba.

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [3] bbab=bbb with [2] baba=bb:

Critical pair: bbb=bbba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [6].

Simplify [4] bbba=babb.

Reduce RHS:

Defines rule #5.