Certificate for #19552 ⟨a, b | aab=b, abbaa=aa⟩

Completion settings:

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

Axiom: aab=b.

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

Axiom: abbaa=aa.

Referenced by [3], [4], [6].

Overlap of [1] aab=b with [2] abbaa=aa:

Critical pair: aaa=bbaa.

Defines rule #4.

Overlap of [2] abbaa=aa with [1] aab=b:

Critical pair: abbb=aab.

Reduce RHS:

Referenced by [5], [7].

Overlap of [1] aab=b with [4] abbb=b:

Critical pair: ab=bbb.

Defines rule #2.

Referenced by [6], [7].

Overlap of [2] abbaa=aa with [5] ab=bbb:

Critical pair: bbbbaa=aa.

Defines rule #3.

Overlap of [4] abbb=b with [5] ab=bbb:

Critical pair: bbbbb=b.

Defines rule #1.