Certificate for #6718 ⟨a, b | aab=b, bbba=aa⟩

Completion settings:

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

Axiom: aab=b.

Referenced by [3].

Axiom: bbba=aa.

Flip LHS and RHS.

Defines rule #3.

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

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

Critical pair: bbbab=b.

Referenced by [5], [6].

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

Critical pair: abbba=bbbaa.

Reduce RHS:

Referenced by [5].

Overlap of [4] abbba=bbbbbba with [3] bbbab=b:

Critical pair: ab=bbbbbbab.

Reduce RHS:

Defines rule #2.

Referenced by [6].

Overlap of [2] aa=bbba with [5] ab=bbbb:

Critical pair: abbbb=bbbab.

Reduce LHS:

Reduce RHS:

Defines rule #1.