Certificate for #19646 ⟨a, b | aba=a, aaabb=bb⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #3.

Referenced by [3].

Axiom: aaabb=bb.

Referenced by [3], [4].

Overlap of [1] aba=a with [2] aaabb=bb:

Critical pair: abbb=aaabb.

Reduce RHS:

Referenced by [4], [5], [6].

Overlap of [2] aaabb=bb with [3] abbb=bb:

Critical pair: aabb=bbb.

Referenced by [5].

Overlap of [4] aabb=bbb with [3] abbb=bb:

Critical pair: abb=bbbb.

Defines rule #2.

Referenced by [6].

Overlap of [3] abbb=bb with [5] abb=bbbb:

Critical pair: bbbbb=bb.

Defines rule #1.