Certificate for #5899 ⟨a, b | ababba=babba⟩

Completion settings:

• Auxiliary generators:
  1. c = babba
• Reduction order:
  • Left-to-right shortlex with a < c < b

Axiom: ababba=babba.

Referenced by [3].

Axiom: babba=c.

Defines rule #3.

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

Simplify [1] ababba=babba.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababba=c with [2] babba=c:

Critical pair: ac=c.

Defines rule #1.

Referenced by [6].

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

Critical pair: babc=cbba.

Defines rule #2.

Overlap of [2] babba=c with [4] ac=c:

Critical pair: babbc=cc.

Defines rule #4.