Certificate for #546 ⟨a, b | ababa=aab⟩

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: ababa=aab.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

Referenced by [3], [4].

Simplify [1] ababa=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababa=ac with [2] ab=c:

Critical pair: caba=ac.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.