Certificate for #1993 ⟨a, b | aaa=a, abbb=b⟩

Completion settings:

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

Axiom: aaa=a.

Defines rule #3.

Referenced by [3].

Axiom: abbb=b.

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

Overlap of [1] aaa=a with [2] abbb=b:

Critical pair: aab=abbb.

Reduce RHS:

Referenced by [4].

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

Critical pair: ab=bbb.

Defines rule #2.

Referenced by [5].

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

Critical pair: bbbbb=b.

Defines rule #1.