Certificate for #2586 ⟨a, b | abaaba=baab⟩

Completion settings:

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

Axiom: abaaba=baab.

Referenced by [3].

Axiom: baab=c.

Defines rule #6.

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

Simplify [1] abaaba=baab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaaba=c with [2] baab=c:

Critical pair: aca=c.

Defines rule #1.

Referenced by [5], [7], [8].

Overlap of [4] aca=c with [4] aca=c:

Critical pair: acc=cca.

Defines rule #2.

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

Critical pair: baac=caab.

Defines rule #5.

Referenced by [7].

Overlap of [6] baac=caab with [4] aca=c:

Critical pair: bac=caaba.

Defines rule #4.

Referenced by [8].

Overlap of [7] bac=caaba with [4] aca=c:

Critical pair: bc=caabaa.

Defines rule #3.