Abstract: A method for checking on cyclicity of a set of definitions employs a simple, non-computational definition of constructivity and a symbolic algorithm based on the new, simple to implement, formulation for variables with arbitrary finite types. This is accomplished by extending variable type to include the “undeterminable” value ⊥ (read as “bottom”). This formulation is non-computational and easily extensible to variables with any finite type. The formulation also handles definitions of indexed variables in the same manner. The set of definitions is then checked to determine whether any of the variables assume the value is ⊥.