Certificate for #5081 ⟨a, b | aaabbaa=bbaa⟩

Completion settings:

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

Axiom: aaabbaa=bbaa.

Referenced by [3].

Axiom: bbaa=c.

Defines rule #3.

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

Simplify [1] aaabbaa=bbaa.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbaa=c with [2] bbaa=c:

Critical pair: aaac=c.

Defines rule #2.

Referenced by [5], [6].

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

Critical pair: bbc=cac.

Defines rule #1.

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

Critical pair: bbac=caac.

Defines rule #4.