Certificate for #4758 ⟨a, b | abaaaaab=bab⟩

Completion settings:

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

Axiom: abaaaaab=bab.

Referenced by [3].

Axiom: bab=c.

Defines rule #5.

Referenced by [3], [4], [6], [7].

Simplify [1] abaaaaab=bab.

Reduce RHS:

Defines rule #6.

Referenced by [5], [6], [7].

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

Critical pair: bac=cab.

Defines rule #2.

Overlap of [3] abaaaaab=c with [3] abaaaaab=c:

Critical pair: abaaaac=caaaaab.

Defines rule #3.

Overlap of [3] abaaaaab=c with [2] bab=c:

Critical pair: abaaaaac=cab.

Defines rule #4.

Overlap of [2] bab=c with [3] abaaaaab=c:

Critical pair: bc=caaaaab.

Defines rule #1.