Automata Theory and Logic


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.




Finite Automata, Formal Logic, and Circuit Complexity


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.




Computation Engineering


Book Description

Although it is critical in today’s world that students who take automata theory and logic courses retain what they have learned and understand how to use their knowledge, many textbooks typically emphasize automata theory only, not logic, thus losing a valuable opportunity to tie these subjects together and reinforce learning. This textbook uses interactive tools throughout, such as simple BDD and SAT tools. By providing a blend of theory and practical applications the material is presented as both inviting and current. Key concepts are illustrated in multiple domains so that information is reinforced and students can begin to tie theory and logic together.




Logic and Automata


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.




Introduction to Automata Theory, Languages, and Computation


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 Theory and its Applications


Book Description

The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.




Automata, Logics, and Infinite Games


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.




Applied Automata Theory


Book Description

Applied Automata Theory provides an engineering style of presentation of some of the applied work in the field of automata theory. Topics covered range from algebraic foundations and recursive functions to regular expressions, threshold logic, and switching circuits. Coding problems and stochastic processes are also discussed, along with content addressable memories, probabilistic reliability, and Turing machines. Much emphasis is placed on engineering applications. Comprised of nine chapters, this book first deals with the algebraic foundations of automata theory, focusing on concepts such as semigroups, groups and homomorphisms, and partially ordered sets and lattices, as well as congruences and other relations. The reader is then introduced to regular expressions; stochastic automata and discrete systems theory; and switching networks as models of discrete stochastic processes. Subsequent chapters explore applications of automata theory in coding; content addressable and distributed logic memories; recursive functions and switching-circuit theory; and synthesis of a cellular computer. The book concludes with an assessment of the fundamentals of threshold logic. This monograph is intended for graduates or advanced undergraduates taking a course in information science or a course on discrete systems in modern engineering curriculum.




Elements of Automata Theory


Book Description

Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.




Introduction to Computer Theory


Book Description

This text strikes a good balance between rigor and an intuitive approach to computer theory. Covers all the topics needed by computer scientists with a sometimes humorous approach that reviewers found "refreshing". It is easy to read and the coverage of mathematics is fairly simple so readers do not have to worry about proving theorems.