Certificate for #5047 ⟨a, b | aaababa=baba⟩

Completion settings:

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

Axiom: aaababa=baba.

Referenced by [3].

Axiom: baba=c.

Defines rule #3.

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

Simplify [1] aaababa=baba.

Reduce RHS:

Referenced by [4].

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

Critical pair: aaac=c.

Defines rule #2.

Referenced by [6].

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

Critical pair: bac=cba.

Defines rule #1.

Overlap of [2] baba=c with [4] aaac=c:

Critical pair: babc=caac.

Defines rule #4.