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.




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.




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.




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.




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.




Introduction to Computation


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.




Infinite Words


Book Description

Infinite Words is an important theory in both Mathematics and Computer Sciences. Many new developments have been made in the field, encouraged by its application to problems in computer science. Infinite Words is the first manual devoted to this topic. Infinite Words explores all aspects of the theory, including Automata, Semigroups, Topology, Games, Logic, Bi-infinite Words, Infinite Trees and Finite Words. The book also looks at the early pioneering work of Büchi, McNaughton and Schützenberger. Serves as both an introduction to the field and as a reference book. Contains numerous exercises desgined to aid students and readers. Self-contained chapters provide helpful guidance for lectures.




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.




Theory Of Automata, Formal Languages And Computation (As Per Uptu Syllabus)


Book Description

This Book Is Aimed At Providing An Introduction To The Basic Models Of Computability To The Undergraduate Students. This Book Is Devoted To Finite Automata And Their Properties. Pushdown Automata Provides A Class Of Models And Enables The Analysis Of Context-Free Languages. Turing Machines Have Been Introduced And The Book Discusses Computability And Decidability. A Number Of Problems With Solutions Have Been Provided For Each Chapter. A Lot Of Exercises Have Been Given With Hints/Answers To Most Of These Tutorial Problems.




Quantum-dot Cellular Automata Based Digital Logic Circuits


Book Description

This book covers several futuristic computing technologies like quantum computing, quantum-dot cellular automata, DNA computing, and optical computing. In turn, it explains them using examples and tutorials on a CAD tool that can help beginners get a head start in QCA layout design. It discusses research on the design of circuits in quantum-dot cellular automata (QCA) with the objectives of obtaining low-complexity, robust designs for various arithmetic operations. The book also investigates the systematic reduction of majority logic in the realization of multi-bit adders, dividers, ALUs, and memory.