Certificate for #6559 ⟨a, b | aaa=a, bbbb=aa⟩

Completion settings:

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

Axiom: aaa=a.

Referenced by [3].

Axiom: bbbb=aa.

Flip LHS and RHS.

Defines rule #4.

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

Overlap of [1] aaa=a with [2] aa=bbbb:

Critical pair: bbbba=a.

Defines rule #3.

Referenced by [4], [5].

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

Critical pair: abbbb=bbbba.

Reduce RHS:

Defines rule #2.

Overlap of [3] bbbba=a with [2] aa=bbbb:

Critical pair: bbbbbbbb=aa.

Reduce RHS:

Defines rule #1.