Certificate for #644 ⟨a, b | ab=aa, bbb=a⟩

Completion settings:

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

Axiom: ab=aa.

Flip LHS and RHS.

Referenced by [3].

Axiom: bbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] aa=ab.

Reduce RHS:

Referenced by [4].

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

Critical pair: bbba=bbbb.

Reduce LHS:

Defines rule #1.