Certificate for #5370 ⟨a, b | ababbba=abab⟩

Completion settings:

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

Axiom: ababbba=abab.

Referenced by [3].

Axiom: abab=c.

Defines rule #2.

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

Simplify [1] ababbba=abab.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababbba=c with [2] abab=c:

Critical pair: cbba=c.

Defines rule #3.

Referenced by [6].

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

Critical pair: abc=cab.

Flip LHS and RHS.

Defines rule #1.

Overlap of [4] cbba=c with [2] abab=c:

Critical pair: cbbc=cbab.

Flip LHS and RHS.

Defines rule #4.