Certificate for #12309 ⟨a, b | aaab=bb, abbb=b⟩

Completion settings:

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

Axiom: aaab=bb.

Referenced by [3].

Axiom: abbb=b.

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

Overlap of [1] aaab=bb with [2] abbb=b:

Critical pair: aab=bbbb.

Referenced by [4].

Overlap of [3] aab=bbbb with [2] abbb=b:

Critical pair: ab=bbbbbb.

Defines rule #2.

Referenced by [5].

Overlap of [2] abbb=b with [4] ab=bbbbbb:

Critical pair: bbbbbbbb=b.

Defines rule #1.