Certificate for #3003 ⟨a, b, c | aab=c, cbc=b⟩

Completion settings:

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

Axiom: aab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: cbc=b.

Reduce LHS:

Defines rule #2.

Referenced by [3].

Overlap of [2] aabbaab=b with [2] aabbaab=b:

Critical pair: aabbb=bbaab.

Defines rule #1.