Certificate for #5361 ⟨a, b | abababa=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: abababa=abbb.

Referenced by [3].

Axiom: abbb=c.

Defines rule #2.

Referenced by [3], [5].

Simplify [1] abababa=abbb.

Reduce RHS:

Defines rule #3.

Referenced by [4], [5].

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

Critical pair: abc=cba.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: abababc=cbbb.

Flip LHS and RHS.

Defines rule #4.