Certificate for #12484 ⟨a, b | aabb=bb, abbb=a⟩

Completion settings:

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

Axiom: aabb=bb.

Referenced by [3], [4].

Axiom: abbb=a.

Defines rule #2.

Referenced by [3], [5].

Overlap of [1] aabb=bb with [2] abbb=a:

Critical pair: aa=bbb.

Defines rule #4.

Referenced by [4], [5].

Overlap of [1] aabb=bb with [3] aa=bbb:

Critical pair: bbbbb=bb.

Defines rule #1.

Overlap of [3] aa=bbb with [3] aa=bbb:

Critical pair: abbb=bbba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.