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Author : Arthur Walter Burks,Hao Wang
Publisher : Unknown
Page : 72 pages
File Size : 42,8 Mb
Release : 1956
Category : Logic design
ISBN : UOM:39015095249127
Author : Jörg Flum,Erich Grädel,Thomas Wilke
Publisher : Amsterdam University Press
Page : 737 pages
File Size : 43,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9789053565766
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.
Author : Howard Straubing
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461202899
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.
Author : Gerard Prudhomme
Publisher : Arcler Press
Page : 0 pages
File Size : 44,6 Mb
Release : 2017-11
Category : Machine theory
ISBN : 1773612719
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.
Author : Donald Sannella,Michael Fourman,Haoran Peng,Philip Wadler
Publisher : Springer Nature
Page : 371 pages
File Size : 41,8 Mb
Release : 2022-01-19
Category : Computers
ISBN : 9783030769086
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.
Author : Dominique Perrin,Jean-Éric Pin
Publisher : Academic Press
Page : 560 pages
File Size : 41,7 Mb
Release : 2004-02-18
Category : Computers
ISBN : 0125321112
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.
Author : Ganesh Gopalakrishnan
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 40,9 Mb
Release : 2006-09-10
Category : Computers
ISBN : 9780387325200
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.
Author : Erich Grädel,Wolfgang Thomas,Thomas Wilke
Publisher : Springer
Page : 392 pages
File Size : 51,9 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540363873
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.
Author : Bakhadyr Khoussainov,Anil Nerode
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201717
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.
Author : Anonim
Publisher : Unknown
Page : 66 pages
File Size : 53,8 Mb
Release : 1956
Category : Electronic
ISBN : UOM:39015020827799
Author : Radomir S. Stankovic,Jaakko Astola
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 50,6 Mb
Release : 2011-03-05
Category : Mathematics
ISBN : 9783642116810
Logic networks and automata are facets of digital systems. The change of the design of logic networks from skills and art into a scientific discipline was possible by the development of the underlying mathematical theory called the Switching Theory. The fundamentals of this theory come from the attempts towards an algebraic description of laws of thoughts presented in the works by George J. Boole and the works on logic by Augustus De Morgan. As often the case in engineering, when the importance of a problem and the need for solving it reach certain limits, the solutions are searched by many scholars in different parts of the word, simultaneously or at about the same time, however, quite independently and often unaware of the work by other scholars. The formulation and rise of Switching Theory is such an example. This book presents a brief account of the developments of Switching Theory and highlights some less known facts in the history of it. The readers will find the book a fresh look into the development of the field revealing how difficult it has been to arrive at many of the concepts that we now consider obvious . Researchers in the history or philosophy of computing will find this book a valuable source of information that complements the standard presentations of the topic.
Author : Nicolas Halbwachs,Doron Peled
Publisher : Springer
Page : 506 pages
File Size : 51,9 Mb
Release : 2003-07-31
Category : Computers
ISBN : 9783540486831
This book constitutes the refereed proceedings of the 11th International Conference on Computer Aided Verification, CAV'99, held in Trento, Italy in July 1999 as part of FLoC'99. The 34 revised full papers presented were carefully reviewed and selected from a total of 107 submissions. Also included are six invited contributions and five tool presentations. The book is organized in topical sections on processor verification, protocol verification and testing, infinite state spaces, theory of verification, linear temporal logic, modeling of systems, symbolic model checking, theorem proving, automata-theoretic methods, and abstraction.
Author : Ganesh Gopalakrishnan
Publisher : CRC Press
Page : 375 pages
File Size : 40,7 Mb
Release : 2019-03-04
Category : Computers
ISBN : 9781351374286
Automata and Computability is a class-tested textbook which provides a comprehensive and accessible introduction to the theory of automata and computation. The author uses illustrations, engaging examples, and historical remarks to make the material interesting and relevant for students. It incorporates modern/handy ideas, such as derivative-based parsing and a Lambda reducer showing the universality of Lambda calculus. The book also shows how to sculpt automata by making the regular language conversion pipeline available through a simple command interface. A Jupyter notebook will accompany the book to feature code, YouTube videos, and other supplements to assist instructors and students Features Uses illustrations, engaging examples, and historical remarks to make the material accessible Incorporates modern/handy ideas, such as derivative-based parsing and a Lambda reducer showing the universality of Lambda calculus Shows how to "sculpt" automata by making the regular language conversion pipeline available through simple command interface Uses a mini functional programming (FP) notation consisting of lambdas, maps, filters, and set comprehension (supported in Python) to convey math through PL constructs that are succinct and resemble math Provides all concepts are encoded in a compact Functional Programming code that will tesselate with Latex markup and Jupyter widgets in a document that will accompany the books. Students can run code effortlessly href="https://github.com/ganeshutah/Jove.git/"here.
Author : Zvi Kohavi,Niraj K. Jha
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,9 Mb
Release : 2009-10-22
Category : Computers
ISBN : 9781139483087
Understand the structure, behaviour, and limitations of logic machines with this thoroughly updated third edition. Many new topics are included, such as CMOS gates, logic synthesis, logic design for emerging nanotechnologies, digital system testing, and asynchronous circuit design, to bring students up-to-speed with modern developments. The intuitive examples and minimal formalism of the previous edition are retained, giving students a text that is logical and easy to follow, yet rigorous. Kohavi and Jha begin with the basics, and then cover combinational logic design and testing, before moving on to more advanced topics in finite-state machine design and testing. Theory is made easier to understand with 200 illustrative examples, and students can test their understanding with over 350 end-of-chapter review questions.
Author : Trailokya Nath Sasamal
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2020
Category : Logic circuits
ISBN : 9811518246
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.