Certificate for #16543 ⟨a, b | aba=ab, bbb=aba⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aba=ab.

Referenced by [2], [3].

Axiom: bbb=aba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

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

Simplify [1] aba=ab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aba=bbb with [2] ab=bbb:

Critical pair: bbba=bbb.

Defines rule #3.

Referenced by [5].

Overlap of [4] bbba=bbb with [2] ab=bbb:

Critical pair: bbbbbb=bbbb.

Defines rule #1.