Certificate for #5314 ⟨a, b | abaabab=abbb⟩

Completion settings:

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

Axiom: abaabab=abbb.

Referenced by [3].

Axiom: abbb=c.

Defines rule #3.

Referenced by [3], [5].

Simplify [1] abaabab=abbb.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

Overlap of [3] abaabab=c with [3] abaabab=c:

Critical pair: abaabc=caabab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [3] abaabab=c with [2] abbb=c:

Critical pair: abaabc=cbb.

Flip LHS and RHS.

Defines rule #1.