Certificate for #2344 ⟨a, b | abbaaab=aab⟩

Completion settings:

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

Axiom: abbaaab=aab.

Referenced by [3].

Axiom: aaab=c.

Referenced by [3], [4].

Overlap of [1] abbaaab=aab with [2] aaab=c:

Critical pair: abbc=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

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

Critical pair: aabbc=c.

Reduce LHS:

Defines rule #2.

Referenced by [5].

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

Critical pair: ac=abbcbcbc.

Reduce RHS:

Defines rule #1.