Certificate for #4756 ⟨a, b | abaaaaab=abb⟩

Completion settings:

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

Axiom: abaaaaab=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #3.

Referenced by [3], [5].

Simplify [1] abaaaaab=abb.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

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

Critical pair: abaaaac=caaaaab.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: abaaaac=cb.

Flip LHS and RHS.

Defines rule #1.