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Formal Languages and Automata Theory by Padma Reddy: A Review
Formal languages and automata theory is a branch of theoretical computer science that studies the properties and applications of abstract models of computation, such as finite automata, regular expressions, context-free grammars, pushdown automata, Turing machines, and computability and decidability. It is a fundamental topic for students of computer science and engineering, as it provides the basis for designing compilers, parsers, text processing tools, cryptography, artificial intelligence, and more.
One of the popular books on this subject is Formal Languages and Automata Theory by K.V.N. Sunitha and N. Kalyani, based on the lectures of Padma Reddy. The book covers the syllabus prescribed by various universities and technical boards in India, and provides a comprehensive and rigorous treatment of the concepts and techniques of formal languages and automata theory. The book is divided into six chapters:
Mathematical Preliminaries and Formal Languages: This chapter introduces the basic notions of sets, relations, functions, graphs, trees, algebraic structures, languages, grammars, and Chomsky hierarchy.
Finite Automata: This chapter discusses the definition, representation, design, and applications of deterministic and nondeterministic finite automata (DFA and NFA), as well as their equivalence and minimization. It also introduces regular expressions and their relation to finite automata.
Regular Languages: This chapter explores the properties and closure operations of regular languages, as well as methods to prove their non-regularity using pumping lemma and Myhill-Nerode theorem. It also covers regular grammars and their equivalence to finite automata.
Context-Free Languages: This chapter presents the definition, representation, derivation, simplification, and normal forms of context-free grammars (CFG), as well as their relation to pushdown automata (PDA). It also discusses the properties and closure operations of context-free languages (CFL), as well as methods to prove their non-context-freeness using pumping lemma and Ogden's lemma.
Pushdown Automata: This chapter describes the definition, representation, design, and applications of deterministic and nondeterministic pushdown automata (DPDA and NPDA), as well as their equivalence and conversion. It also introduces context-sensitive languages (CSL) and linear bounded automata (LBA).
Turing Machines: This chapter explains the definition, representation, design, and applications of deterministic and nondeterministic Turing machines (DTM and NTM), as well as their variants such as multitape Turing machines, oracle Turing machines, universal Turing machines, etc. It also covers the concepts of computability, decidability, reducibility, recursively enumerable languages (REL), recursive languages (RL), halting problem, Rice's theorem, etc.
The highlight of the book is the variety of approaches it advances to solve a problem. The book also takes a close look at the application of theoretical concepts to solve real-world problems. Formal languages and automata theory is a core topic in the field of computer science and any computer science and engineering student must study this subject thoroughly. This book is a valuable resource for learning and mastering this subject. 061ffe29dd