Certificate for #5646 ⟨a, b | aabaab=aaaab⟩

Completion settings:

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

Axiom: aabaab=aaaab.

Referenced by [3].

Axiom: aaaab=c.

Defines rule #3.

Referenced by [3], [5].

Simplify [1] aabaab=aaaab.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

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

Critical pair: aabc=caab.

Defines rule #2.

Overlap of [2] aaaab=c with [3] aabaab=c:

Critical pair: aac=caab.

Defines rule #1.