Certificate for #5216 ⟨a, b | aabbaab=baab⟩

Completion settings:

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

Axiom: aabbaab=baab.

Referenced by [3].

Axiom: baab=c.

Defines rule #4.

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

Simplify [1] aabbaab=baab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabbaab=c with [2] baab=c:

Critical pair: aabc=c.

Referenced by [6], [7].

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

Critical pair: baac=caab.

Defines rule #3.

Overlap of [2] baab=c with [4] aabc=c:

Critical pair: bc=cc.

Defines rule #1.

Referenced by [7].

Overlap of [4] aabc=c with [6] bc=cc:

Critical pair: aacc=c.

Defines rule #2.