Certificate for #993 ⟨a, b | abbaaab=aa⟩

Completion settings:

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

Axiom: abbaaab=aa.

Referenced by [3].

Axiom: abb=c.

Defines rule #4.

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

Overlap of [1] abbaaab=aa with [2] abb=c:

Critical pair: caaab=aa.

Referenced by [4], [6].

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

Critical pair: caac=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aab=caac with [2] abb=c:

Critical pair: ac=caacb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

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

Critical pair: cacaac=aa.

Defines rule #1.

Referenced by [7], [8].

Overlap of [6] cacaac=aa with [5] caacb=ac:

Critical pair: cacaaac=aaaacb.

Flip LHS and RHS.

Defines rule #6.

Overlap of [6] cacaac=aa with [6] cacaac=aa:

Critical pair: cacaaaa=aaacaac.

Flip LHS and RHS.

Defines rule #5.