System and method for compact form exhaustive analysis of security policies

A system is described that analyzes and validates network security policies associated with network devices. The system includes a compiler and a security policy analysis and validation tool. The compiler encodes a security policy associated with a network device into a predicate expressed in bit-vector logic and generates a bit-vector formula based on the predicate. The tool receives the bit-vector formula and applies a Satisfiability Modulo Theories (SMT) solver thereto to identify and enumerate solutions to the bit-vector formula. The enumerated solutions provide information about the validity of the first security policy. The solutions may be compactly enumerated in a as product of intervals or a product of unions of intervals.