04355nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153072001600169072002300185072001500208100008100223245015000304250001800454264006900472300006800541336002600609337002600635338003600661347002400697490004200721505084000763520194801603650002003551650002603571650004203597650002603639710003403665773002603699776003603725776003603761776003603797830004203833856004603875978-3-031-43973-5DE-He21320251030110856.0cr nn 008mamaa231218s2024    sz |    s    |||| 0|eng d  a97830314397357 a10.1007/978-3-031-43973-52doi 4aQA267-268.5 7aUYA2bicssc 7aCOM0140002bisacsh 7aUYA2thema1 aMorazán, Marco T.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aProgramming-Based Formal Languages and Automata Theoryh[electronic resource] :bDesign, Implement, Validate, and Prove /cby Marco T. Morazán.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXXIII, 524 p. 163 illus., 38 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aTexts in Computer Science,x1868-095X0 aPart I: Fundamental Concepts -- 1. Introduction to FSM -- 2. Essential Background -- 3. Types of Proofs -- Part II: Regular Languages -- 4. Regular Expressions -- 5. Deterministic Finite-State Machines -- 6. Nondeterministic Finite State Machines -- 7. Finite-State Automatons and Regular Expressions -- 8. Regular Grammars -- 9. Languages that are not Regular -- Part III: Context-Free Languages -- 10. Context-Free Grammars -- 11. Pushdown Automata -- 12. Equivalence of pdas and cfgs -- 13. Properties of Context-Free Languages -- 14. Deterministic PDAs -- Part IV: Context-Sensitive Languages -- 15. Turing Machines -- 16. Turing Machine Composition -- 17. Turing Machine Extensions -- 18. Context-Sensitive Grammars -- 19. Church-Turing Thesis and Undecidability -- 20. Complexity -- Part V: Epilogue -- 21. Where to Go From Here.  aThis textbook introduces formal languages and automata theory for upper-level undergraduate or beginning graduate students. While it contains the traditional mathematical development usually employed in computational theory courses, it is also quite different from many of them. Machines, grammars, and algorithms developed as part of a constructive proof are intended to be rendered as programs. The book is divided into four parts that build on each other. Part I reviews fundamental concepts. It introduces programming in FSM and reviews program design. In addition, it reviews essential mathematical background on sets, relations, and reasoning about infinite sets. Part II starts the study of formal languages and automata theory in earnest with regular languages. It first introduces regular expressions and shows how they are used to write programs that generate words in a regular language. Given that regular expressions generate words, it is only natural to ask how a machine can recognize words in a regular language. This leads to the study of deterministic and nondeterministic finite-state machines. Part III starts the exploration of languages that are not regular with context-free languages. It begins with context-free grammars and pushdown automata to generate and recognize context-free languages, and it ends with a discussion of deterministic pushdown automata and illustrates why these automatons are fundamentally different from nondeterministic pushdown automata. Part IV eventually explores languages that are not context-free, known as context-sensitive languages. It starts by discussing the most powerful automaton known to mankind: the Turing machine. It then moves to grammars for context-sensitive languages, and their equivalence with Turing machines is explored. The book ends with a brief chapter introducing complexity theory and explores the question of determining if a solution to a problem is practical. 0aMachine theory. 0aSoftware engineering.14aFormal Languages and Automata Theory.24aSoftware Engineering.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303143972808iPrinted edition:z978303143974208iPrinted edition:z9783031439759 0aTexts in Computer Science,x1868-095X40uhttps://doi.org/10.1007/978-3-031-43973-5