Certificate for #24524 ⟨a, b | ab=a, bbaaaaa=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bbaaaaa=a.

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

Overlap of [1] ab=a with [2] bbaaaaa=a:

Critical pair: aa=abaaaaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbaaaaa=a with [3] aaaaaa=aa:

Critical pair: bbaa=aa.

Referenced by [5], [6].

Overlap of [2] bbaaaaa=a with [4] bbaa=aa:

Critical pair: aaaaa=a.

Defines rule #3.

Referenced by [6].

Overlap of [4] bbaa=aa with [5] aaaaa=a:

Critical pair: bba=aaaaa.

Reduce RHS:

Defines rule #2.