Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Logical Definability Of Np Optimization Problems
Download Logical Definability Of Np Optimization Problems full books in PDF, epub, and Kindle. Read online Logical Definability Of Np Optimization Problems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Logical Definability of NP Optimization Problems by : Phokion Gerasimos Kolaitis
Download or read book Logical Definability of NP Optimization Problems written by Phokion Gerasimos Kolaitis and published by . This book was released on 1990 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We investigate here NP optimization problems from a logically definability standpoint. We show that the class of optimization problems whose optimum is definable using first-order formulae coincides with the class of polynomially bounded NP optimization problems on finite structures. After this, we analyze the relative expressive power of various classes of optimization problems that arise in this framework. Some of our results show that logical definability has different implications for NP maximization problems than it has for NP minimization problems, in terms of both expressive power and approximation properties."
Book Synopsis Weighted NP Optimization Problems: Logical Definability and Approximation Properties by : University of Rochester. Dept. of Computer Science
Download or read book Weighted NP Optimization Problems: Logical Definability and Approximation Properties written by University of Rochester. Dept. of Computer Science and published by . This book was released on 1994 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Extending a well known property of polynomially bounded NP optimization problems, we observe that, by attaching weights to tuples over the domain of the input, all NP optimization problems admit a certain logical characterization. We show that any NP optimization problem can be stated as a problem in which the constraint conditions can be expressed by a II2 first-order formula and this is the best possible result. We further analyze the weighted analogue of all syntactically defined classes of optimization problems that are known to have good approximation properties: MAX NP, MAX SNP, MAX SNP([pi]), MIN F[pi]1 and MIN F[pi]2(1). All these classes continue to have the same approximation properties in the case of positive weights. Using reductions from multiprover interactive systems, we show that if NP [not subset of] DTIME[2[superscript log[superscript O(1)] n]], the approximation properties of the above classes devaluates considerably when negative weights are also allowed (with the exception of MIN F+II1, where only a weaker deterioration could be proven). It follows that the general weighted versions of MAX 2SAT, Set Cover, Priority Ordering and of some other closely related natural problems are not approximable in quasipolynomial time within a factor of 2[superscript log [superscript [mu]] n] for some [mu]> 0 (which depends on the problem), unless NP [subset of] DTIME[2[superscript log [superscript O(1)] n]]. Under the same hypothesis, we show that the maximization variant of Set Partition is also not superpolylog approximable. A stronger result is proven for the minimization variant of Set Partition: if P [not equal to] NP, then MIN Set Partition cannot be approximated in polynomial time within a factor of n[supersript O(1)]."
Book Synopsis Logical Definability of NP Optimization Problems by : Phokion Gerasimos Kolaitis
Download or read book Logical Definability of NP Optimization Problems written by Phokion Gerasimos Kolaitis and published by . This book was released on 1993 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation Properties of NP Minimization Classes by : P. G. Kolaitis
Download or read book Approximation Properties of NP Minimization Classes written by P. G. Kolaitis and published by . This book was released on 1991 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In this paper we introduce a new approach to the logical definability of NP optimization problems by focusing on the expressibility of feasible solutions. We show that in this framework first-order sentences capture exactly all polynomially bounded optimization problems. We also show that, assuming P [not equal to] NP, it is an undecidable problem to tell if a given first-order sentence defines an approximable optimization problem. We then isolate a syntactically defined class of NP minimization problems that contains the MIN SET COVER problem and has the property that every problem in it has a logarithmic approximation algorithm. We conclude by giving a machine-independent characterization of the NP [equals?] co-NP problem in terms of logical expressibility of the MAX CLIQUE problem."
Book Synopsis Logic and Complexity by : Richard Lassaigne
Download or read book Logic and Complexity written by Richard Lassaigne and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic and Complexity looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory. With plenty of exercises, this book presents classical notions of mathematical logic, such as decidability, completeness and incompleteness, as well as new ideas brought by complexity theory such as NP-completeness, randomness and approximations, providing a better understanding for efficient algorithmic solutions to problems. Divided into three parts, it covers: - Model Theory and Recursive Functions - introducing the basic model theory of propositional, 1st order, inductive definitions and 2nd order logic. Recursive functions, Turing computability and decidability are also examined. - Descriptive Complexity - looking at the relationship between definitions of problems, queries, properties of programs and their computational complexity. - Approximation - explaining how some optimization problems and counting problems can be approximated according to their logical form. Logic is important in Computer Science, particularly for verification problems and database query languages such as SQL. Students and researchers in this field will find this book of great interest.
Book Synopsis Logic Programming by : Jan Maluszynski
Download or read book Logic Programming written by Jan Maluszynski and published by MIT Press. This book was released on 1997-10-10 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The themes of the 1997 conference are new theoretical and practical accomplishments in logic programming, new research directions where ideas originating from logic programming can play a fundamental role, and relations between logic programming and other fields of computer science. The annual International Logic Programming Symposium, traditionally held in North America, is one of the main international conferences sponsored by the Association of Logic Programming. The themes of the 1997 conference are new theoretical and practical accomplishments in logic programming, new research directions where ideas originating from logic programming can play a fundamental role, and relations between logic programming and other fields of computer science. Topics include theoretical foundations, constraints, concurrency and parallelism, deductive databases, language design and implementation, nonmonotonic reasoning, and logic programming and the Internet.
Book Synopsis Approximability of Optimization Problems through Adiabatic Quantum Computation by : William Cruz-Santos
Download or read book Approximability of Optimization Problems through Adiabatic Quantum Computation written by William Cruz-Santos and published by Springer Nature. This book was released on 2022-05-31 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: The adiabatic quantum computation (AQC) is based on the adiabatic theorem to approximate solutions of the Schrödinger equation. The design of an AQC algorithm involves the construction of a Hamiltonian that describes the behavior of the quantum system. This Hamiltonian is expressed as a linear interpolation of an initial Hamiltonian whose ground state is easy to compute, and a final Hamiltonian whose ground state corresponds to the solution of a given combinatorial optimization problem. The adiabatic theorem asserts that if the time evolution of a quantum system described by a Hamiltonian is large enough, then the system remains close to its ground state. An AQC algorithm uses the adiabatic theorem to approximate the ground state of the final Hamiltonian that corresponds to the solution of the given optimization problem. In this book, we investigate the computational simulation of AQC algorithms applied to the MAX-SAT problem. A symbolic analysis of the AQC solution is given in order to understand the involved computational complexity of AQC algorithms. This approach can be extended to other combinatorial optimization problems and can be used for the classical simulation of an AQC algorithm where a Hamiltonian problem is constructed. This construction requires the computation of a sparse matrix of dimension 2n × 2n, by means of tensor products, where n is the dimension of the quantum system. Also, a general scheme to design AQC algorithms is proposed, based on a natural correspondence between optimization Boolean variables and quantum bits. Combinatorial graph problems are in correspondence with pseudo-Boolean maps that are reduced in polynomial time to quadratic maps. Finally, the relation among NP-hard problems is investigated, as well as its logical representability, and is applied to the design of AQC algorithms. It is shown that every monadic second-order logic (MSOL) expression has associated pseudo-Boolean maps that can be obtained by expanding the given expression, and also can be reduced to quadratic forms. Table of Contents: Preface / Acknowledgments / Introduction / Approximability of NP-hard Problems / Adiabatic Quantum Computing / Efficient Hamiltonian Construction / AQC for Pseudo-Boolean Optimization / A General Strategy to Solve NP-Hard Problems / Conclusions / Bibliography / Authors' Biographies
Book Synopsis Computer Science Logic by : Dirk van Dalen
Download or read book Computer Science Logic written by Dirk van Dalen and published by Springer Science & Business Media. This book was released on 1997-06-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The related fields of fractal image encoding and fractal image analysis have blossomed in recent years. This book, originating from a NATO Advanced Study Institute held in 1995, presents work by leading researchers. It is developing the subjects at an introductory level, but it also has some recent and exciting results in both fields. The book contains a thorough discussion of fractal image compression and decompression, including both continuous and discrete formulations, vector space and hierarchical methods, and algorithmic optimizations. The book also discusses multifractal approaches to image analysis, segmentation, and recognition, including medical applications.
Book Synopsis Mathematical Foundations of Computer Science 2005 by : Joanna Jedrzejowicz
Download or read book Mathematical Foundations of Computer Science 2005 written by Joanna Jedrzejowicz and published by Springer Science & Business Media. This book was released on 2005-08-17 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science, MFCS 2005, held in Gdansk, Poland in August/September 2005. The 62 revised full papers presented together with full papers or abstracts of 7 invited talks were carefully reviewed and selected from 137 submissions. All current aspects in theoretical computer science are addressed, ranging from quantum computing, approximation, automata, circuits, scheduling, games, languages, discrete mathematics, combinatorial optimization, graph theory, networking, algorithms, and complexity to programming theory, formal methods, and mathematical logic.
Book Synopsis Parameterized and Exact Computation by : Martin Grohe
Download or read book Parameterized and Exact Computation written by Martin Grohe and published by Springer Science & Business Media. This book was released on 2008-04-25 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Parameterized and Exact Computation, IWPEC 2008, held in Victoria, Canada, in May 2008 - co-located with the 40th ACM Symposium on Theory of Computing, STOC 2008. The 17 revised full papers presented together with 3 invited lectures were carefully reviewed and selected from 32 submissions. The topics addressed cover research in all aspects of parameterized and exact computation and complexity, including but not limited to new techniques for the design and analysis of parameterized and exact algorithms, parameterized complexity theory, relationship between parameterized complexity and traditional complexity classifications, applications of parameterized computation, implementation and experiments, high-performance computing and fixed-parameter tractability.
Book Synopsis Paradigms of Combinatorial Optimization by : Vangelis Th. Paschos
Download or read book Paradigms of Combinatorial Optimization written by Vangelis Th. Paschos and published by John Wiley & Sons. This book was released on 2014-08-08 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Book Synopsis Computer Science Logic by : Egon Börger
Download or read book Computer Science Logic written by Egon Börger and published by Springer Science & Business Media. This book was released on 1993-08-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop on stochastic theory and adaptive control assembled many of the leading researchers on stochastic control and stochastic adaptive control to increase scientific exchange and cooperative research between these two subfields of stochastic analysis. The papers included in the proceedings include survey and research. They describe both theoretical results and applications of adaptive control. There are theoretical results in identification, filtering, control, adaptive control and various other related topics. Some applications to manufacturing systems, queues, networks, medicine and other topics are gien.
Book Synopsis Automata, Languages and Programming by : Andrzej Lingas
Download or read book Automata, Languages and Programming written by Andrzej Lingas and published by Springer Science & Business Media. This book was released on 1993-06-23 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Colloquium on Automata, Languages and Programming (ICALP) is an annual conference series sponsored by the European Association for Theoretical Computer Science (EATCS). It is intended to cover all important areas of theoretical computer science, such as: computability, automata,formal languages, term rewriting, analysis of algorithms, computational geometry, computational complexity, symbolic and algebraic computation, cryptography, data types and data structures, theory of data bases and knowledge bases, semantics of programming languages, program specification, transformation and verification, foundations of logicprogramming, theory of logical design and layout, parallel and distributed computation, theory of concurrency, and theory of robotics. This volume contains the proceedings of ICALP 93, held at LundUniversity, Sweden, in July 1993. It includes five invited papers and 51 contributed papers selected from 151 submissions.
Book Synopsis Computational Complexity: A Quantitative Perspective by : Marius Zimand
Download or read book Computational Complexity: A Quantitative Perspective written by Marius Zimand and published by Elsevier. This book was released on 2004-07-07 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been a common perception that computational complexity is a theory of "bad news" because its most typical results assert that various real-world and innocent-looking tasks are infeasible. In fact, "bad news" is a relative term, and, indeed, in some situations (e.g., in cryptography), we want an adversary to not be able to perform a certain task. However, a "bad news" result does not automatically become useful in such a scenario. For this to happen, its hardness features have to be quantitatively evaluated and shown to manifest extensively.The book undertakes a quantitative analysis of some of the major results in complexity that regard either classes of problems or individual concrete problems. The size of some important classes are studied using resource-bounded topological and measure-theoretical tools. In the case of individual problems, the book studies relevant quantitative attributes such as approximation properties or the number of hard inputs at each length.One chapter is dedicated to abstract complexity theory, an older field which, however, deserves attention because it lays out the foundations of complexity. The other chapters, on the other hand, focus on recent and important developments in complexity. The book presents in a fairly detailed manner concepts that have been at the centre of the main research lines in complexity in the last decade or so, such as: average-complexity, quantum computation, hardness amplification, resource-bounded measure, the relation between one-way functions and pseudo-random generators, the relation between hard predicates and pseudo-random generators, extractors, derandomization of bounded-error probabilistic algorithms, probabilistically checkable proofs, non-approximability of optimization problems, and others.The book should appeal to graduate computer science students, and to researchers who have an interest in computer science theory and need a good understanding of computational complexity, e.g., researchers in algorithms, AI, logic, and other disciplines.·Emphasis is on relevant quantitative attributes of important results in complexity.·Coverage is self-contained and accessible to a wide audience.·Large range of important topics including: derandomization techniques, non-approximability of optimization problems, average-case complexity, quantum computation, one-way functions and pseudo-random generators, resource-bounded measure and topology.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Logic: Logic Programming and Beyond by : Antonis C. Kakas
Download or read book Computational Logic: Logic Programming and Beyond written by Antonis C. Kakas and published by Springer. This book was released on 2003-08-02 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Robinson This set of essays pays tribute to Bob Kowalski on his 60th birthday, an anniversary which gives his friends and colleagues an excuse to celebrate his career as an original thinker, a charismatic communicator, and a forceful intellectual leader. The logic programming community hereby and herein conveys its respect and thanks to him for his pivotal role in creating and fostering the conceptual paradigm which is its raison d’Œtre. The diversity of interests covered here reflects the variety of Bob’s concerns. Read on. It is an intellectual feast. Before you begin, permit me to send him a brief personal, but public, message: Bob, how right you were, and how wrong I was. I should explain. When Bob arrived in Edinburgh in 1967 resolution was as yet fairly new, having taken several years to become at all widely known. Research groups to investigate various aspects of resolution sprang up at several institutions, the one organized by Bernard Meltzer at Edinburgh University being among the first. For the half-dozen years that Bob was a leading member of Bernard’s group, I was a frequent visitor to it, and I saw a lot of him. We had many discussions about logic, computation, and language.
Book Synopsis Computing and Combinatorics by : Jin-Yi Cai
Download or read book Computing and Combinatorics written by Jin-Yi Cai and published by Springer Science & Business Media. This book was released on 1996-06-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Second Annual International Conference on Computing and Combinatorics, COCOON '96, held in June 1996 in Hong Kong. The 44 papers presented in the book in revised version were carefully selected from a total of 82 submissions. They describe state-of-the-art research results from various areas of theoretical computer science, combinatorics related to computing, and experimental analysis of algorithms; computational graph theory, computational geometry, and networking issues are particularly well-presented.
