Certificate for #4854 ⟨a, b | abbaaaab=aab⟩

Completion settings:

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

Axiom: abbaaaab=aab.

Referenced by [3].

Axiom: aaaab=c.

Referenced by [3], [4].

Overlap of [1] abbaaaab=aab with [2] aaaab=c:

Critical pair: abbc=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] aaaab=c with [3] aab=abbc:

Critical pair: aaabbc=c.

Reduce LHS:

Defines rule #2.

Referenced by [5].

Overlap of [3] aab=abbc with [4] abbcbcbc=c:

Critical pair: ac=abbcbcbcbc.

Reduce RHS:

Defines rule #1.