Certificate for #5038 ⟨a, b | aaababa=aaab⟩

Completion settings:

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

Axiom: aaababa=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #1.

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

Simplify [1] aaababa=aaab.

Reduce RHS:

Referenced by [4].

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

Critical pair: caba=c.

Defines rule #2.

Referenced by [5].

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

Critical pair: cabc=caab.

Flip LHS and RHS.

Defines rule #3.