1. A computer-implemented method, comprising: characterizing at least one component of a rule by defining a plurality of attributes or a plurality of enumerations associated with the plurality of attributes; creating a relational representation of the at least one component by denoting relationships between the plurality of attributes, plurality of enumerations, or any combination thereof; reducing the relational representation to a canonical polynomial by assigning a first order to the plurality of attributes and a second order to the plurality of enumerations; assigning first uniquely addressable records to a signature corresponding to each of the relationships based at least in part on the first order; assigning second uniquely addressable records to an address corresponding to each of the relationships based at least in part on the second order; assigning third uniquely addressable records to a validity status corresponding to each of the relationships based at least in part on an include or an exclude rule being present in each of the relationships; and generating a decision diagram based at least in part on the first uniquely addressable records, second uniquely addressable records, third uniquely addressable records, or any combination thereof.