Finite Automata, Formal Logic, and Circuit Complexity

Finite Automata, Formal Logic, and Circuit Complexity PDF Author: Howard Straubing
Publisher: Springer Science & Business Media
ISBN: 1461202892
Category : Computers
Languages : en
Pages : 235

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Book Description
The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.

Finite Automata, Formal Logic, and Circuit Complexity

Finite Automata, Formal Logic, and Circuit Complexity PDF Author: Howard Straubing
Publisher: Springer Science & Business Media
ISBN: 1461202892
Category : Computers
Languages : en
Pages : 235

Get Book Here

Book Description
The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.

Logic and Automata

Logic and Automata PDF Author: Jörg Flum
Publisher: Amsterdam University Press
ISBN: 9053565760
Category : Mathematics
Languages : en
Pages : 737

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Book Description
Mathematical logic and automata theory are two scientific disciplines with a fundamentally close relationship. The authors of Logic and Automata take the occasion of the sixtieth birthday of Wolfgang Thomas to present a tour d’horizon of automata theory and logic. The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the field.

Algorithms, Languages, Automata, and Compilers: A Practical Approach

Algorithms, Languages, Automata, and Compilers: A Practical Approach PDF Author: Maxim Mozgovoy
Publisher: Jones & Bartlett Learning
ISBN: 1449633234
Category : Computers
Languages : en
Pages : 359

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Book Description
Algorithms, Languages, Automata, & Compilers A Practical Approach is designed to cover the standard “theory of computing” topics through a strong emphasis on practical applications rather than theorems and proofs. Finite automata, Turing machines, models of computation, complexity, solvability, and other topics that form a foundation of modern programming are discussed -first with a gentle theoretical orientation, and then applied through programming code and practical examples. JFLAP projects and applications are integrated throughout the book, and C# is used for all code.

Automata Theory and Logic

Automata Theory and Logic PDF Author: Gerard Prudhomme
Publisher: Arcler Press
ISBN: 9781773612713
Category : Machine theory
Languages : en
Pages : 0

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Book Description
The automata theory and logic in theoretical computer science is critical for the development of theoretical computer science. The objective of the theory of automata theory and logic is to propose models of mathematical mechanisms that formalize calculation methods. This theory is the foundation of several important branches of theoretical computing.The first chapter refers to automota theory. Chapter 2 shows that the durability of organic designs seems to have come about in the form of a significant basic principle in solutions biology. Chapter 3 looks at how ideas acquired from multi-level computational varieties of organic models could very well be converted into actual functions only as long as the strategy accurateness appears to have been confirmed to start with. Chapter 4 offers a model-based incorporation way of thinking for redesigning coupled with confirmation of the time aspect. Chapter 5 exchanges views about the most widely read, not to mention thrilling, computational techniques, and also equipment, on the market today for systems biologists, antagonizing design patterns as well as a partnership between all of them. Chapter 6 proves that Web malware are comparable to organic infections.Chapter 7 shows that Von Hippel-Lindau ( VHL ) disorder is a genetic problem predisposing to the growth and development of various cancer malignancy types. Chapter 8 showcases how the Wnt/β-catenin alerting path is essential for several developing procedures and also cells upkeep. Chapter 9 describes how visceral leishmaniasis, brought on by contamination of mice with the protozoan parasite Leishmania donovani, is identified by central amassing.Chapter 10 looks at how Wifi broadband seems to have obtained exceptional consideration from the analysis environment. Chapter 11 describes how reconstructing mobile sounding systems as well as comprehending just how they function are leading activities in cellular biology. Chapter 12 looks at how the up-to-the-minute DREAM4 blind evaluation supplied an especially reasonable and also difficult environment for network reverse engineering techniques.Chapter 13 establishes that Stochastic Petri nets ( SPNs ) have been commonly used to design randomness, which happens to be an gargantuan characteristic of organic mechanisms. Chapter 14 establishes that air as a method of travel corresponds to an extremely fascinating illustration of a complicated techno-social process. Chapter 15 shows that despite the fact that the genome is made up of almost all genetic data, the choices that a cell can make are influenced by complicated cell equipment that is mounted above the genome. Chapter 16 shows a great number of versions in Systems Biology are referred to as a structure of Ordinary Differential Equations. Chapter 17 created a arithmetical version of the xenophagy path. Chapter 18 displays that MicroRNAs have surely obtained an important level of attention.Chapter 19 looks at how development and also evaluation of systems is more and more prevalent in organic study. Chapter 20 provides a summary of how privacy leak conduct invading users' information security continues to be extensively learned about. Chapter 21 looks at how simulating network transduction in cell alerting systems offers forecasts of coverage characteristics.

Automata, Logics, and Infinite Games

Automata, Logics, and Infinite Games PDF Author: Erich Grädel
Publisher: Springer
ISBN: 3540363874
Category : Computers
Languages : en
Pages : 377

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Book Description
A central aim and ever-lasting dream of computer science is to put the development of hardware and software systems on a mathematical basis which is both firm and practical. Such a scientific foundation is needed especially for the construction of reactive programs, like communication protocols or control systems. For the construction and analysis of reactive systems an elegant and powerful theory has been developed based on automata theory, logical systems for the specification of nonterminating behavior, and infinite two-person games. The 19 chapters presented in this multi-author monograph give a consolidated overview of the research results achieved in the theory of automata, logics, and infinite games during the past 10 years. Special emphasis is placed on coherent style, complete coverage of all relevant topics, motivation, examples, justification of constructions, and exercises.

Logic Synthesis and Verification Algorithms

Logic Synthesis and Verification Algorithms PDF Author: Gary D. Hachtel
Publisher: Springer Science & Business Media
ISBN: 0306475928
Category : Technology & Engineering
Languages : en
Pages : 579

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Book Description
Logic Synthesis and Verification Algorithms is a textbook designed for courses on VLSI Logic Synthesis and Verification, Design Automation, CAD and advanced level discrete mathematics. It also serves as a basic reference work in design automation for both professionals and students. Logic Synthesis and Verification Algorithms is about the theoretical underpinnings of VLSI (Very Large Scale Integrated Circuits). It combines and integrates modern developments in logic synthesis and formal verification with the more traditional matter of Switching and Finite Automata Theory. The book also provides background material on Boolean algebra and discrete mathematics. A unique feature of this text is the large collection of solved problems. Throughout the text the algorithms covered are the subject of one or more problems based on the use of available synthesis programs.

Language and Automata Theory and Applications

Language and Automata Theory and Applications PDF Author: Shmuel Tomi Klein
Publisher: Springer
ISBN: 3319773135
Category : Computers
Languages : en
Pages : 331

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Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Language and Automata Theory and Applications, LATA 2018, held in Ramat Gan, Israel, in April 2018.The 20 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 58 submissions. The papers cover fields like algebraic language theory, algorithms for semi-structured data mining, algorithms on automata and words, automata and logic, automata for system analysis and programme verification, automata networks, automatic structures, codes, combinatorics on words, computational complexity, concurrency and Petri nets, data and image compression, descriptional complexity, foundations of finite state technology, foundations of XML, grammars (Chomsky hierarchy, contextual, unification, categorial, etc.), grammatical inference and algorithmic learning, graphs and graph transformation, language varieties and semigroups, language-based cryptography, mathematical and logical foundations of programming methodologies, parallel and regulated rewriting, parsing, patterns, power series, string processing algorithms, symbolic dynamics, term rewriting, transducers, trees, tree languages and tree automata, and weighted automata.

Introduction to Computation

Introduction to Computation PDF Author: Donald Sannella
Publisher: Springer Nature
ISBN: 3030769089
Category : Computers
Languages : en
Pages : 371

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Book Description
Computation, itself a form of calculation, incorporates steps that include arithmetical and non-arithmetical (logical) steps following a specific set of rules (an algorithm). This uniquely accessible textbook introduces students using a very distinctive approach, quite rapidly leading them into essential topics with sufficient depth, yet in a highly intuitive manner. From core elements like sets, types, Venn diagrams and logic, to patterns of reasoning, calculus, recursion and expression trees, the book spans the breadth of key concepts and methods that will enable students to readily progress with their studies in Computer Science.

Introduction to Automata Theory, Languages, and Computation

Introduction to Automata Theory, Languages, and Computation PDF Author: John E. Hopcroft
Publisher:
ISBN: 9781292039053
Category : Computational complexity
Languages : en
Pages : 488

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Book Description
This classic book on formal languages, automata theory, and computational complexity has been updated to present theoretical concepts in a concise and straightforward manner with the increase of hands-on, practical applications. This new edition comes with Gradiance, an online assessment tool developed for computer science. Please note, Gradiance is no longer available with this book, as we no longer support this product.

Automata on Infinite Words

Automata on Infinite Words PDF Author: M. Nivat
Publisher: Springer Science & Business Media
ISBN: 9783540156413
Category : Computers
Languages : en
Pages : 228

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Book Description