Certificate for #2580 ⟨a, b | abaaba=aaab⟩

Completion settings:

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

Axiom: abaaba=aaab.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

Referenced by [3], [4].

Simplify [1] abaaba=aaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaaba=aac with [2] ab=c:

Critical pair: caaba=aac.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.