Certificate for #5102 ⟨a, b | aaabbba=aaab⟩

Completion settings:

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

Axiom: aaabbba=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #1.

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

Simplify [1] aaabbba=aaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbba=c with [2] aaab=c:

Critical pair: cbba=c.

Defines rule #2.

Referenced by [5].

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

Critical pair: cbbc=caab.

Flip LHS and RHS.

Defines rule #3.