Models Of Computation

Author : Maribel Fernandez
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 44,7 Mb
Release : 2009-04-14
Category : Computers
ISBN : 9781848824348

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Models of Computation by Maribel Fernandez Pdf

A Concise Introduction to Computation Models and Computability Theory provides an introduction to the essential concepts in computability, using several models of computation, from the standard Turing Machines and Recursive Functions, to the modern computation models inspired by quantum physics. An in-depth analysis of the basic concepts underlying each model of computation is provided. Divided into two parts, the first highlights the traditional computation models used in the first studies on computability: - Automata and Turing Machines; - Recursive functions and the Lambda-Calculus; - Logic-based computation models. and the second part covers object-oriented and interaction-based models. There is also a chapter on concurrency, and a final chapter on emergent computation models inspired by quantum mechanics. At the end of each chapter there is a discussion on the use of computation models in the design of programming languages.

Author : John E. Savage
Publisher : Addison Wesley
Page : 718 pages
File Size : 55,6 Mb
Release : 1998
Category : Computers
ISBN : STANFORD:36105020148941

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Models of Computation by John E. Savage Pdf

This text focuses on finite problems and emphasizes concrete models of machines and programming styles. Using problems defined over infinite domains and abstract machine models as models, emphasis is given to concrete problems of the kind found in algorithms textbooks, as well as machine models related to current technology. The book integrates the theme of parallelism throughout the book (for example, circuits are presented as parallel machines) and studies the exchanges between space, time and other resources on a variety of machine models.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,8 Mb
Release : 2002-01-01
Category : Electronic
ISBN : 1586924389

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Models of Computation by Anonim Pdf

Author : Roberto Bruni,Ugo Montanari
Publisher : Springer
Page : 395 pages
File Size : 46,7 Mb
Release : 2017-04-03
Category : Computers
ISBN : 9783319429007

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Models of Computation by Roberto Bruni,Ugo Montanari Pdf

This book presents in their basic form the most important models of computation, their basic programming paradigms, and their mathematical descriptions, both concrete and abstract. Each model is accompanied by relevant formal techniques for reasoning on it and for proving some properties. After preliminary chapters that introduce the notions of structure and meaning, semantic methods, inference rules, and logic programming, the authors arrange their chapters into parts on IMP, a simple imperative language; HOFL, a higher-order functional language; concurrent, nondeterministic and interactive models; and probabilistic/stochastic models. The authors have class-tested the book content over many years, and it will be valuable for graduate and advanced undergraduate students of theoretical computer science and distributed systems, and for researchers in this domain. Each chapter of the book concludes with a list of exercises addressing the key techniques introduced, solutions to selected exercises are offered at the end of the book.

Author : I. Antoniou,C.S. Calude,M.J. Dinneen
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447103134

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Unconventional Models of Computation, UMC’2K by I. Antoniou,C.S. Calude,M.J. Dinneen Pdf

This book contains papers presented at the 2nd International Conference on Unconventional Models of Computation (UMCK'2K), which was held at Solvay Institutes, Brussels, Belgium, in December 2000. Computers as we know them may be getting better and cheaper, and doing more for us, but they are still unable to cope with many tasks of practical interest. Nature, though, has been 'computing' with molecules and cells for billions of years, and these natural processes form the main motivation for the construction of radically new models of computation, the core theme of the papers in this volume. Unconventional Models of Computation, UMCK'2K covers all major areas of unconventional computation, including quantum computing, DNA-based computation, membrane computing and evolutionary algorithms.

Author : R. Gregory Taylor,Ralph Gregory Taylor
Publisher : Oxford University Press on Demand
Page : 667 pages
File Size : 50,9 Mb
Release : 1998
Category : Computers
ISBN : 019510983X

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Models of Computation and Formal Languages by R. Gregory Taylor,Ralph Gregory Taylor Pdf

Models of Computation and Formal Languages presents a comprehensive and rigorous treatment of the theory of computability. The text takes a novel approach focusing on computational models and is the first book of its kind to feature companion software. Deus Ex Machina, developed by Nicolae Savoiu, comprises software simulations of the various computational models considered and incorporates numerous examples in a user-friendly format. Part I of the text introduces several universal models including Turing machines, Markov algorithms, and register machines. Complexity theory is integrated gradually, starting in Chapter 1. The vector machine model of parallel computation is covered thoroughly both in text and software. Part II develops the Chomsky hierarchy of formal languages and provides both a grammar-theoretic and an automata-theoretic characterization of each language family. Applications to programming languages round out an in-depth theoretical discussion, making this an ideal text for students approaching this subject for the first time. Ancillary sections of several chapters relate classical computability theory to the philosophy of mind, cognitive science, and theoretical linguistics. Ideal for Theory of Computability and Theory of Algorithms courses at the advanced undergraduate or beginning graduate level, Models of Computation and Formal Languages is one of the only texts that... - - Features accompanying software available on the World Wide Web at http: //home.manhattan.edu/ gregory.taylor/thcomp/ Adopts an integrated approach to complexity theory - Offers a solutions manual containing full solutions to several hundred exercises. Most of these solutions are available to students on the World Wide Web at http: //home.manhattan.edu/ gregory.taylor/thcomp - Features examples relating the theory of computation to the probable programming experience of an undergraduate computer science major

Author : Lenore Blum,Felipe Cucker,Michael Shub,Steve Smale
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461207016

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Complexity and Real Computation by Lenore Blum,Felipe Cucker,Michael Shub,Steve Smale Pdf

The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.

Author : Cornelis W Oosterlee,Lech A Grzelak
Publisher : World Scientific
Page : 1310 pages
File Size : 50,5 Mb
Release : 2019-10-29
Category : Business & Economics
ISBN : 9781786347961

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Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes by Cornelis W Oosterlee,Lech A Grzelak Pdf

This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.Supplementary Material:Solutions Manual is available to instructors who adopt this textbook for their courses. Please contact [email protected].

Author : Qiang Du
Publisher : SIAM
Page : 181 pages
File Size : 42,7 Mb
Release : 2019-03-20
Category : Science
ISBN : 9781611975611

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Nonlocal Modeling, Analysis, and Computation by Qiang Du Pdf

Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to local partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives for as well as bridges to existing models. The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on traditional models, analytical techniques, and algorithms.

Author : Rajendra Akerkar
Publisher : Springer
Page : 104 pages
File Size : 47,6 Mb
Release : 2018-12-04
Category : Computers
ISBN : 9783319918518

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Models of Computation for Big Data by Rajendra Akerkar Pdf

The big data tsunami changes the perspective of industrial and academic research in how they address both foundational questions and practical applications. This calls for a paradigm shift in algorithms and the underlying mathematical techniques. There is a need to understand foundational strengths and address the state of the art challenges in big data that could lead to practical impact. The main goal of this book is to introduce algorithmic techniques for dealing with big data sets. Traditional algorithms work successfully when the input data fits well within memory. In many recent application situations, however, the size of the input data is too large to fit within memory. Models of Computation for Big Data, covers mathematical models for developing such algorithms, which has its roots in the study of big data that occur often in various applications. Most techniques discussed come from research in the last decade. The book will be structured as a sequence of algorithmic ideas, theoretical underpinning, and practical use of that algorithmic idea. Intended for both graduate students and advanced undergraduate students, there are no formal prerequisites, but the reader should be familiar with the fundamentals of algorithm design and analysis, discrete mathematics, probability and have general mathematical maturity.

Author : Alexander Meduna
Publisher : CRC Press
Page : 318 pages
File Size : 43,5 Mb
Release : 2014-02-11
Category : Computers
ISBN : 9781466513457

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Formal Languages and Computation by Alexander Meduna Pdf

Formal Languages and Computation: Models and Their Applications gives a clear, comprehensive introduction to formal language theory and its applications in computer science. It covers all rudimental topics concerning formal languages and their models, especially grammars and automata, and sketches the basic ideas underlying the theory of computation, including computability, decidability, and computational complexity. Emphasizing the relationship between theory and application, the book describes many real-world applications, including computer science engineering techniques for language processing and their implementation. Covers the theory of formal languages and their models, including all essential concepts and properties Explains how language models underlie language processors Pays a special attention to programming language analyzers, such as scanners and parsers, based on four language models—regular expressions, finite automata, context-free grammars, and pushdown automata Discusses the mathematical notion of a Turing machine as a universally accepted formalization of the intuitive notion of a procedure Reviews the general theory of computation, particularly computability and decidability Considers problem-deciding algorithms in terms of their computational complexity measured according to time and space requirements Points out that some problems are decidable in principle, but they are, in fact, intractable problems for absurdly high computational requirements of the algorithms that decide them In short, this book represents a theoretically oriented treatment of formal languages and their models with a focus on their applications. It introduces all formalisms concerning them with enough rigors to make all results quite clear and valid. Every complicated mathematical passage is preceded by its intuitive explanation so that even the most complex parts of the book are easy to grasp. After studying this book, both student and professional should be able to understand the fundamental theory of formal languages and computation, write language processors, and confidently follow most advanced books on the subject.

Author : Osvaldo A. Martin,Ravin Kumar,Junpeng Lao
Publisher : CRC Press
Page : 420 pages
File Size : 46,8 Mb
Release : 2021-12-28
Category : Computers
ISBN : 9781000520040

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Bayesian Modeling and Computation in Python by Osvaldo A. Martin,Ravin Kumar,Junpeng Lao Pdf

Bayesian Modeling and Computation in Python aims to help beginner Bayesian practitioners to become intermediate modelers. It uses a hands on approach with PyMC3, Tensorflow Probability, ArviZ and other libraries focusing on the practice of applied statistics with references to the underlying mathematical theory. The book starts with a refresher of the Bayesian Inference concepts. The second chapter introduces modern methods for Exploratory Analysis of Bayesian Models. With an understanding of these two fundamentals the subsequent chapters talk through various models including linear regressions, splines, time series, Bayesian additive regression trees. The final chapters include Approximate Bayesian Computation, end to end case studies showing how to apply Bayesian modelling in different settings, and a chapter about the internals of probabilistic programming languages. Finally the last chapter serves as a reference for the rest of the book by getting closer into mathematical aspects or by extending the discussion of certain topics. This book is written by contributors of PyMC3, ArviZ, Bambi, and Tensorflow Probability among other libraries.

Author : R. Correa,Ines de Castro Dutra,Mario Fiallos,Luiz Fernando Gomes da Silva
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 44,8 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9781475736090

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Models for Parallel and Distributed Computation by R. Correa,Ines de Castro Dutra,Mario Fiallos,Luiz Fernando Gomes da Silva Pdf

Parallel and distributed computation has been gaining a great lot of attention in the last decades. During this period, the advances attained in computing and communication technologies, and the reduction in the costs of those technolo gies, played a central role in the rapid growth of the interest in the use of parallel and distributed computation in a number of areas of engineering and sciences. Many actual applications have been successfully implemented in various plat forms varying from pure shared-memory to totally distributed models, passing through hybrid approaches such as distributed-shared memory architectures. Parallel and distributed computation differs from dassical sequential compu tation in some of the following major aspects: the number of processing units, independent local dock for each unit, the number of memory units, and the programming model. For representing this diversity, and depending on what level we are looking at the problem, researchers have proposed some models to abstract the main characteristics or parameters (physical components or logical mechanisms) of parallel computers. The problem of establishing a suitable model is to find a reasonable trade-off among simplicity, power of expression and universality. Then, be able to study and analyze more precisely the behavior of parallel applications.

Author : T-H. Hubert Chan,Lap Chi Lau,Luca Trevisan
Publisher : Springer
Page : 356 pages
File Size : 50,7 Mb
Release : 2013-05-16
Category : Computers
ISBN : 3642382355

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Theory and Applications of Models of Computation by T-H. Hubert Chan,Lap Chi Lau,Luca Trevisan Pdf

This book constitutes the refereed proceedings of the 10th International Conference on Theory and Applications of Models of Computation, TAMC 2013, held in Hong Kong, China, in May 2013. The 31 revised full papers presented were carefully reviewed and selected from 70 submissions. Bringing together a wide range of researchers with interests in computational theory and applications, the papers address the three main themes of the conference which were computability, complexity, and algorithms and present current research in these fields with aspects to theoretical computer science, algorithmic mathematics, and applications to the physical sciences.

Author : Quan-Lin Li
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 51,9 Mb
Release : 2011-02-02
Category : Mathematics
ISBN : 9783642114922

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Constructive Computation in Stochastic Models with Applications by Quan-Lin Li Pdf

"Constructive Computation in Stochastic Models with Applications: The RG-Factorizations" provides a unified, constructive and algorithmic framework for numerical computation of many practical stochastic systems. It summarizes recent important advances in computational study of stochastic models from several crucial directions, such as stationary computation, transient solution, asymptotic analysis, reward processes, decision processes, sensitivity analysis as well as game theory. Graduate students, researchers and practicing engineers in the field of operations research, management sciences, applied probability, computer networks, manufacturing systems, transportation systems, insurance and finance, risk management and biological sciences will find this book valuable. Dr. Quan-Lin Li is an Associate Professor at the Department of Industrial Engineering of Tsinghua University, China.