Certificate for #15838 ⟨a, b | aba=aa, bbabb=b⟩

Completion settings:

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

Axiom: aba=aa.

Defines rule #4.

Referenced by [5], [6].

Axiom: bbabb=b.

Referenced by [3], [4].

Overlap of [2] bbabb=b with [2] bbabb=b:

Critical pair: bbab=babb.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] bbabb=b with [3] bbab=babb:

Critical pair: babbb=b.

Defines rule #1.

Referenced by [6].

Overlap of [3] bbab=babb with [1] aba=aa:

Critical pair: bbaa=babba.

Defines rule #5.

Overlap of [1] aba=aa with [4] babbb=b:

Critical pair: ab=aabbb.

Flip LHS and RHS.

Defines rule #3.