Certificate for #7006 ⟨a, b | ab=aa, bbbaa=a⟩

Completion settings:

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

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

Axiom: bbbaa=a.

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

Overlap of [1] ab=aa with [2] bbbaa=a:

Critical pair: aa=aabbaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

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

Critical pair: bbbaa=aaaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [2] bbbaa=a with [4] aaaaa=a:

Critical pair: bbba=aaaa.

Defines rule #2.