Real-time Regular Expression Matching

Abstract: This paper is devoted to finite state automata, regular expression matching, pattern recognition, and the exponential blow-up problem, which is the growing complexity of automata exponentially depending on regular expression length. This paper presents a theoretical and hardware solution to the exponential blow-up problem for some complicated classes of regular languages, which caused severe limitations in Network Intrusion Detection Systems work. The article supports the solution with theorems on correctness and complexity.