Certificate for #2085 ⟨a, b | abbbaaab=aa⟩

Completion settings:

• Auxiliary generators:
  1. c = bbb
• Reduction order:
  • Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1

Axiom: abbbaaab=aa.

Referenced by [3].

Axiom: bbb=c.

Defines rule #5.

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

Overlap of [1] abbbaaab=aa with [2] bbb=c:

Critical pair: acaaab=aa.

Referenced by [5], [6], [7].

Overlap of [2] bbb=c with [2] bbb=c:

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] acaaab=aa with [2] bbb=c:

Critical pair: acaaac=aabb.

Flip LHS and RHS.

Referenced by [6].

Overlap of [3] acaaab=aa with [5] aabb=acaaac:

Critical pair: acaacaaac=aab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] acaaab=aa with [6] aab=acaacaaac:

Critical pair: acaacaacaaac=aa.

Defines rule #1.

Referenced by [8].

Overlap of [7] acaacaacaaac=aa with [7] acaacaacaaac=aa:

Critical pair: acaacaacaaaa=aaaacaacaaac.

Flip LHS and RHS.

Defines rule #2.