Formal Models Of Computation The Ultimate Limits Of Computing
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Formal Models Of Computation The Ultimate Limits Of Computing
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Author : Arthur C Fleck
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-03-09
Formal Models Of Computation The Ultimate Limits Of Computing written by Arthur C Fleck and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-09 with Computers categories.
This book provides new presentations of standard computational models that help avoid pitfalls of the conventional description methods. It also includes novel approaches to some of the topics that students normally find the most challenging. The presentations have evolved in response to student feedback over many years of teaching and have been well received by students.The book covers the topics suggested in the ACM curriculum guidelines for the course on “Theory of Computation”, and in the course on “Foundations of Computing” in the model liberal arts curriculum. These are standard courses for upper level computer science majors and beginning graduate students.The material in this area of computing is intellectually deep, and students invariably find it challenging to master. This book blends the three key ingredients for successful mastery. The first is its focus on the mingling of intuition and rigor that is required to fully understand the area. This is accomplished not only in the discussion and in examples, but also especially in the proofs. Second, a number of practical applications are presented to illustrate the capacity of the theoretical techniques to contribute insights in a variety of areas; such presentations greatly increase the reader's motivation to grasp the theoretical material. The student's active participation is the third and final major element in the learning process, and to this end an extensive collection of problems of widely differing difficulty is incorporated.
Formal Models Of Computation The Ultimatelimits Of Computing
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Author : Arthur C. Fleck
language : en
Publisher:
Release Date : 1997
Formal Models Of Computation The Ultimatelimits Of Computing written by Arthur C. Fleck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Mathematics And Computation
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Author : Avi Wigderson
language : en
Publisher: Princeton University Press
Release Date : 2019-10-29
Mathematics And Computation written by Avi Wigderson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Computers categories.
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Toward Human Level Artificial Intelligence
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Author : Philip C. Jackson
language : en
Publisher: Courier Dover Publications
Release Date : 2019-12-11
Toward Human Level Artificial Intelligence written by Philip C. Jackson and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-11 with Mathematics categories.
Dr. Jackson discusses how an AI system using a language of thought based on the unconstrained syntax of a natural language could achieve "higher-level mentalities" of human intelligence, with advanced forms of learning and reasoning, imagination, and more. 2019 edition.
Real Time Systems Modeling Design And Applications
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Author : Aurel Cornell
language : en
Publisher: World Scientific
Release Date : 2007-03-05
Real Time Systems Modeling Design And Applications written by Aurel Cornell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-05 with Computers categories.
This book collects the research work of leading-edge researchers and practitioners in the areas of analysis, synthesis, design and implementation of real-time systems with applications in various industrial fields. Their works are grouped into six parts, together encompassing twenty chapters. Each part is devoted to a mainstream subject, the chapters therein developing one of the major aspects of real-time system theory, modeling, design, and practical applications. Starting with a general approach in the area of formalization of real-time systems, and setting the foundations for a general systemic theory of those systems, the book covers everything from building modeling frameworks for various types of real-time systems, to verification, and synthesis. Other parts of the book deal with subjects related to tools and applications of these systems. A special part is dedicated to languages used for their modeling and design. The applications presented in the book reveal precious insights into practitioners' secrets.
Foundations Of Formal Logic
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Author : Richard Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-06-12
Foundations Of Formal Logic written by Richard Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-12 with Computers categories.
"Foundations of Formal Logic" "Foundations of Formal Logic" presents a sweeping and rigorous exploration of the principles, systems, and philosophical underpinnings of modern formal logic. Beginning with a rich historical and philosophical context, the book traces the emergence of logical reasoning from its ancient origins through the revolutionary contributions of Aristotle and Frege, ultimately charting the evolution of formal systems and their foundational role in mathematics. Engaging with pivotal philosophical debates—spanning realism, nominalism, logicism, formalism, and intuitionism—it offers critical insight into the shifting landscape of logic’s interpretation and its continuing influence on contemporary thought. Delving into the technical heart of the subject, the text systematically covers the syntax and semantics of formal languages, propositional and predicate logic, and the intricate structures of model theory and proof theory. Readers are guided through the construction of formal languages, the architecture of proofs, and the profound implications of soundness, completeness, and compactness theorems. Advanced and non-classical logics—including modal, temporal, intuitionistic, paraconsistent, and fuzzy logics—are deftly introduced, highlighting the depth and versatility of formal reasoning in addressing complex phenomena. The latter chapters bridge logic with the wider intellectual landscape, illuminating its centrality to computer science, artificial intelligence, mathematics, linguistics, and the sciences. Foundational milestones, such as Gödel’s incompleteness theorems and Turing’s theory of computation, stand alongside discussions of formal verification, knowledge representation, and the logical foundations of databases. Concluding with a survey of open problems, new paradigms, and ethical dimensions, "Foundations of Formal Logic" equips readers with both a comprehensive reference and a roadmap to the enduring questions and future frontiers of logical inquiry.
What Can Be Computed
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Author : John MacCormick
language : en
Publisher: Princeton University Press
Release Date : 2018-05-01
What Can Be Computed written by John MacCormick and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-01 with Computers categories.
An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com
Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20
Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Theory Of Computation
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Author : K.R. Chowdhary
language : en
Publisher: Springer Nature
Release Date : 2025-03-19
Theory Of Computation written by K.R. Chowdhary and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-19 with Computers categories.
This book offers a fresh perspective on the study and teaching of the Theory of Computation. The author's selection of topics and the comprehensive set of questions demonstrate extensive knowledge and years of experience in both teaching and research. It addresses practical aspects of computing models that are often overlooked. The book's emphasis on pedagogy, through carefully crafted exercises and clear elucidation of learning outcomes and chapter summaries, is a refreshing approach to the subject. With the right platform, this book has the potential to be adopted as a textbook in universities worldwide. The book covers new developments not typically addressed in other texts on the subject, such as algebraic theory, new applications of finite automata and regular languages, and topics from compiler theory that are closely related. It also explores several new relationships among models, with a natural progression of chapters. Key strengths of this book include its coverage of contemporary and relevant topics, practical applications of theoretical concepts, an extended Chomsky Hierarchy, and discussions on decidability, undecidability, and unsolvability. The book is tailored for its intended audience, with selected chapters suitable for undergraduate B.Tech./B.E. computer science students. Additionally, Chapters 9–14 can be used for a course on "Advanced Topics in Theory of Computer Science" at the Master's level (M.E./M.Tech.). It also serves as a foundational resource for those engaged in research in computer science.
Introduction To The Theory Of Computation
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Author : Michael Sipser
language : en
Publisher: Thomson/Course Technology
Release Date : 2006
Introduction To The Theory Of Computation written by Michael Sipser and has been published by Thomson/Course Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computational complexity categories.
"Intended as an upper-level undergraduate or introductory graduate text in computer science theory," this book lucidly covers the key concepts and theorems of the theory of computation. The presentation is remarkably clear; for example, the "proof idea," which offers the reader an intuitive feel for how the proof was constructed, accompanies many of the theorems and a proof. Introduction to the Theory of Computation covers the usual topics for this type of text plus it features a solid section on complexity theory--including an entire chapter on space complexity. The final chapter introduces more advanced topics, such as the discussion of complexity classes associated with probabilistic algorithms.