Certificate for #2454 ⟨a, b | aaabba=aaab⟩

Completion settings:

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

Axiom: aaabba=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #2.

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

Simplify [1] aaabba=aaab.

Reduce RHS:

Referenced by [4].

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

Critical pair: cba=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: cbc=caab.

Flip LHS and RHS.

Defines rule #3.