Certificate for #6787 ⟨a, b | aba=b, abbb=bb⟩

Completion settings:

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

Axiom: aba=b.

Defines rule #3.

Referenced by [3], [5].

Axiom: abbb=bb.

Referenced by [4].

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

Critical pair: abb=bba.

Referenced by [4], [7].

Simplify [2] abbb=bb.

Reduce LHS:

Referenced by [5], [6].

Overlap of [4] bbab=bb with [1] aba=b:

Critical pair: bbb=bba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [6], [7].

Overlap of [4] bbab=bb with [5] bba=bbb:

Critical pair: bbbb=bb.

Defines rule #4.

Simplify [3] abb=bba.

Reduce RHS:

Defines rule #2.