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

Completion settings:

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

Axiom: abbbaaab=aa.

Referenced by [3].

Axiom: abbb=c.

Defines rule #6.

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

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

Critical pair: caaab=aa.

Referenced by [4], [5], [7].

Overlap of [3] caaab=aa with [2] abbb=c:

Critical pair: caac=aabb.

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [3] caaab=aa with [4] aabb=caac:

Critical pair: cacaac=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Overlap of [4] aabb=caac with [2] abbb=c:

Critical pair: ac=caacb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [8].

Overlap of [3] caaab=aa with [5] aab=cacaac:

Critical pair: cacacaac=aa.

Defines rule #1.

Referenced by [8], [9].

Overlap of [7] cacacaac=aa with [6] caacb=ac:

Critical pair: cacacaaac=aaaacb.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: cacacaaaa=aaacacaac.

Flip LHS and RHS.

Defines rule #2.