Computation: Finite and Infinite Machines

Computation: Finite and Infinite Machines PDF Author: Marvin Lee Minsky
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 348

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Computation: Finite and Infinite Machines

Computation: Finite and Infinite Machines PDF Author: Marvin Lee Minsky
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 348

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Book Description


Computation: Finite and Infinite Machines

Computation: Finite and Infinite Machines PDF Author: Marvin L. Minsky
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Computation: Finite and Infinite Machines

Computation: Finite and Infinite Machines PDF Author: Marvin Lee Minsky
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 344

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Computation

Computation PDF Author:
Publisher:
ISBN:
Category : Readers
Languages : en
Pages : 12

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Computation

Computation PDF Author:
Publisher:
ISBN:
Category : Readers
Languages : en
Pages : 9

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Machines, Languages, and Computation

Machines, Languages, and Computation PDF Author: Peter J. Denning
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 632

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What Can Be Computed?

What Can Be Computed? PDF Author: John MacCormick
Publisher: Princeton University Press
ISBN: 0691170665
Category : Computers
Languages : en
Pages : 404

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Book Description
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

Computation and Its Limits

Computation and Its Limits PDF Author: Paul Cockshott
Publisher: Oxford University Press
ISBN: 0199640327
Category : Computers
Languages : en
Pages : 246

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Book Description
Although we are entirely unaware of it, computation is central to all aspects of our existences. Every day we solve, or try to solve, a myriad of problems, from the utterly trivial to the bafflingly complex. This book explains why it is possible to do computation and what the ultimate limits of it are, as understood by modern science.

Theory of Computation

Theory of Computation PDF Author: George Tourlakis
Publisher: John Wiley & Sons
ISBN: 1118315359
Category : Mathematics
Languages : en
Pages : 410

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Book Description
Learn the skills and acquire the intuition to assess the theoretical limitations of computer programming Offering an accessible approach to the topic, Theory of Computation focuses on the metatheory of computing and the theoretical boundaries between what various computational models can do and not do—from the most general model, the URM (Unbounded Register Machines), to the finite automaton. A wealth of programming-like examples and easy-to-follow explanations build the general theory gradually, which guides readers through the modeling and mathematical analysis of computational phenomena and provides insights on what makes things tick and also what restrains the ability of computational processes. Recognizing the importance of acquired practical experience, the book begins with the metatheory of general purpose computer programs, using URMs as a straightforward, technology-independent model of modern high-level programming languages while also exploring the restrictions of the URM language. Once readers gain an understanding of computability theory—including the primitive recursive functions—the author presents automata and languages, covering the regular and context-free languages as well as the machines that recognize these languages. Several advanced topics such as reducibilities, the recursion theorem, complexity theory, and Cook's theorem are also discussed. Features of the book include: A review of basic discrete mathematics, covering logic and induction while omitting specialized combinatorial topics A thorough development of the modeling and mathematical analysis of computational phenomena, providing a solid foundation of un-computability The connection between un-computability and un-provability: Gödel's first incompleteness theorem The book provides numerous examples of specific URMs as well as other programming languages including Loop Programs, FA (Deterministic Finite Automata), NFA (Nondeterministic Finite Automata), and PDA (Pushdown Automata). Exercises at the end of each chapter allow readers to test their comprehension of the presented material, and an extensive bibliography suggests resources for further study. Assuming only a basic understanding of general computer programming and discrete mathematics, Theory of Computation serves as a valuable book for courses on theory of computation at the upper-undergraduate level. The book also serves as an excellent resource for programmers and computing professionals wishing to understand the theoretical limitations of their craft.

Computational Complexity

Computational Complexity PDF Author: Sanjeev Arora
Publisher: Cambridge University Press
ISBN: 0521424267
Category : Computers
Languages : en
Pages : 609

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Book Description
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.