Certificate for #4325 ⟨a, b | abbaaaaab=aa⟩

Completion settings:

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

Axiom: abbaaaaab=aa.

Referenced by [3].

Axiom: abb=c.

Defines rule #6.

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

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

Critical pair: caaaaab=aa.

Referenced by [4], [6].

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

Critical pair: caaaac=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

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

Critical pair: ac=caaaacb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] caaaaab=aa with [4] aab=caaaac:

Critical pair: caaacaaaac=aa.

Defines rule #1.

Referenced by [7], [8].

Overlap of [6] caaacaaaac=aa with [5] caaaacb=ac:

Critical pair: caaacaaaaac=aaaaaacb.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: caaacaaaaaa=aaaaacaaaac.

Flip LHS and RHS.

Defines rule #2.