Certificate for #13251 ⟨a, b | bab=aab, bbb=aa⟩

Completion settings:

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

Axiom: bab=aab.

Flip LHS and RHS.

Referenced by [3].

Axiom: bbb=aa.

Flip LHS and RHS.

Defines rule #5.

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

Overlap of [1] aab=bab with [2] aa=bbb:

Critical pair: bbbb=bab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

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

Critical pair: abbb=bbba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

Overlap of [4] bbba=abbb with [3] bab=bbbb:

Critical pair: bbbbbb=abbbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [2] aa=bbb with [5] abbbb=bbbbbb:

Critical pair: abbbbbb=bbbbbbb.

Reduce LHS:

Defines rule #1.