Certificate for #5695 ⟨a, b | aababa=baaba⟩

Completion settings:

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

Axiom: aababa=baaba.

Referenced by [3].

Axiom: baaba=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

Simplify [1] aababa=baaba.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

Overlap of [2] baaba=c with [2] baaba=c:

Critical pair: baac=caba.

Defines rule #2.

Overlap of [3] aababa=c with [2] baaba=c:

Critical pair: aabac=caba.

Defines rule #3.

Overlap of [2] baaba=c with [3] aababa=c:

Critical pair: bc=cba.

Defines rule #1.