Certificate for #4880 ⟨a, b | abbbaaab=aab⟩

Completion settings:

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

Axiom: abbbaaab=aab.

Referenced by [3].

Axiom: aaab=c.

Referenced by [3], [4].

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

Critical pair: abbbc=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

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

Critical pair: aabbbc=c.

Reduce LHS:

Defines rule #2.

Referenced by [5].

Overlap of [3] aab=abbbc with [4] abbbcbbc=c:

Critical pair: ac=abbbcbbcbbc.

Reduce RHS:

Defines rule #1.