Certificate for #19624 ⟨a, b | aab=b, bbbba=aa⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aab=b.

Referenced by [3].

Axiom: bbbba=aa.

Flip LHS and RHS.

Defines rule #3.

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

Overlap of [1] aab=b with [2] aa=bbbba:

Critical pair: bbbbab=b.

Referenced by [5], [6].

Overlap of [2] aa=bbbba with [2] aa=bbbba:

Critical pair: abbbba=bbbbaa.

Reduce RHS:

Referenced by [5].

Overlap of [4] abbbba=bbbbbbbba with [3] bbbbab=b:

Critical pair: ab=bbbbbbbbab.

Reduce RHS:

Defines rule #2.

Referenced by [6].

Overlap of [2] aa=bbbba with [5] ab=bbbbb:

Critical pair: abbbbb=bbbbab.

Reduce LHS:

Reduce RHS:

Defines rule #1.