Certificate for #4351 ⟨a, b | abbbaaaab=aa⟩

Completion settings:

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

Axiom: abbbaaaab=aa.

Referenced by [3].

Axiom: bbb=c.

Defines rule #5.

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

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

Critical pair: acaaaab=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] acaaaab=aa with [2] bbb=c:

Critical pair: acaaaac=aabb.

Flip LHS and RHS.

Referenced by [6].

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

Critical pair: acaaacaaaac=aab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] acaaaab=aa with [6] aab=acaaacaaaac:

Critical pair: acaaacaaacaaaac=aa.

Defines rule #1.

Referenced by [8].

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

Critical pair: acaaacaaacaaaaa=aaaaacaaacaaaac.

Flip LHS and RHS.

Defines rule #2.