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This book category covers the theory and applications of finite automata—abstract state machines that model computation with a finite amount of memory and characterize regular languages. Titles typically span introductory textbooks, problem collections, and advanced monographs on deterministic and nondeterministic automata (DFA/NFA), regular expressions, state diagrams, equivalence and minimization, closure and decidability properties, and core results such as the Myhill–Nerode theorem and the pumping lemma. Many works connect theory to practice through topics like lexical analysis and pattern matching, compiler front ends, digital circuit and protocol design, and formal verification/model checking. Suitable for students of discrete mathematics and computer science as well as practitioners working with state-based systems.

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