Certificate for #2071 ⟨a, b | abbaaaab=aa⟩

Completion settings:

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

Axiom: abbaaaab=aa.

Referenced by [3].

Axiom: bb=c.

Defines rule #5.

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

Overlap of [1] abbaaaab=aa with [2] bb=c:

Critical pair: acaaaab=aa.

Referenced by [5], [6].

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

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] acaaaab=aa with [2] bb=c:

Critical pair: acaaaac=aab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [3] acaaaab=aa with [5] aab=acaaaac:

Critical pair: acaaacaaaac=aa.

Defines rule #1.

Referenced by [7].

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

Critical pair: acaaacaaaaa=aaaaacaaaac.

Flip LHS and RHS.

Defines rule #2.