Problems in Set Theory, Mathematical Logic and the Theory of Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 1461501857
Total Pages : 288 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by : Igor Lavrov

Download or read book Problems in Set Theory, Mathematical Logic and the Theory of Algorithms written by Igor Lavrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.

Proofs and Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 0857291211
Total Pages : 156 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Proofs and Algorithms by : Gilles Dowek

Download or read book Proofs and Algorithms written by Gilles Dowek and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Logic Synthesis and Verification Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 0306475928
Total Pages : 564 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Logic Synthesis and Verification Algorithms by : Gary D. Hachtel

Download or read book Logic Synthesis and Verification Algorithms written by Gary D. Hachtel and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Synthesis and Verification Algorithms is a textbook designed for courses on VLSI Logic Synthesis and Verification, Design Automation, CAD and advanced level discrete mathematics. It also serves as a basic reference work in design automation for both professionals and students. Logic Synthesis and Verification Algorithms is about the theoretical underpinnings of VLSI (Very Large Scale Integrated Circuits). It combines and integrates modern developments in logic synthesis and formal verification with the more traditional matter of Switching and Finite Automata Theory. The book also provides background material on Boolean algebra and discrete mathematics. A unique feature of this text is the large collection of solved problems. Throughout the text the algorithms covered are the subject of one or more problems based on the use of available synthesis programs.

The Logic of Logistics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226192
Total Pages : 355 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Logic of Logistics by : David Simchi-Levi

Download or read book The Logic of Logistics written by David Simchi-Levi and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fierce competition in today's global market provides a powerful motivation for developing ever more sophisticated logistics systems. This book, written for the logistics manager and researcher, presents a survey of the modern theory and application of logistics. The goal of the book is to present the state-of-the-art in the science of logistics management. As a result, the authors have written a timely and authoritative survey of this field that many practitioners and researchers will find makes an invaluable companion to their work.

Propositional Logic

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Publisher : Cambridge University Press
ISBN 13 : 9780521630177
Total Pages : 432 pages
Book Rating : 4.6/5 (31 download)

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Book Synopsis Propositional Logic by : Hans Kleine Büning

Download or read book Propositional Logic written by Hans Kleine Büning and published by Cambridge University Press. This book was released on 1999-08-28 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.

Theory of Algorithms

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Theory of Algorithms by : Andrej A. Markov

Download or read book Theory of Algorithms written by Andrej A. Markov and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic and Theory of Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3540694056
Total Pages : 613 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Logic and Theory of Algorithms by : Arnold Beckmann

Download or read book Logic and Theory of Algorithms written by Arnold Beckmann and published by Springer Science & Business Media. This book was released on 2008-06-03 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Computability in Europe, CiE 2008, held in Athens, Greece, in June 2008. The 36 revised full papers presented together with 25 invited tutorials and lectures were carefully reviewed and selected from 108 submissions. Among them are papers of 6 special sessions entitled algorithms in the history of mathematics, formalising mathematics and extracting algorithms from proofs, higher-type recursion and applications, algorithmic game theory, quantum algorithms and complexity, and biology and computation.

Fuzzy Logic Hybrid Extensions of Neural and Optimization Algorithms: Theory and Applications

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Publisher : Springer Nature
ISBN 13 : 3030687767
Total Pages : 383 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Fuzzy Logic Hybrid Extensions of Neural and Optimization Algorithms: Theory and Applications by : Oscar Castillo

Download or read book Fuzzy Logic Hybrid Extensions of Neural and Optimization Algorithms: Theory and Applications written by Oscar Castillo and published by Springer Nature. This book was released on 2021-03-24 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe in this book, recent developments on fuzzy logic, neural networks and optimization algorithms, as well as their hybrid combinations, and their application in areas such as, intelligent control and robotics, pattern recognition, medical diagnosis, time series prediction and optimization of complex problems. The book contains a collection of papers focused on hybrid intelligent systems based on soft computing. There are some papers with the main theme of type-1 and type-2 fuzzy logic, which basically consists of papers that propose new concepts and algorithms based on type-1 and type-2 fuzzy logic and their applications. There also some papers that presents theory and practice of meta-heuristics in different areas of application. Another group of papers describe diverse applications of fuzzy logic, neural networks and hybrid intelligent systems in medical applications. There are also some papers that present theory and practice of neural networks in different areas of application. In addition, there are papers that present theory and practice of optimization and evolutionary algorithms in different areas of application. Finally, there are some papers describing applications of fuzzy logic, neural networks and meta-heuristics in pattern recognition problems.

Logic Minimization Algorithms for VLSI Synthesis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461328217
Total Pages : 204 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Logic Minimization Algorithms for VLSI Synthesis by : Robert K. Brayton

Download or read book Logic Minimization Algorithms for VLSI Synthesis written by Robert K. Brayton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The roots of the project which culminates with the writing of this book can be traced to the work on logic synthesis started in 1979 at the IBM Watson Research Center and at University of California, Berkeley. During the preliminary phases of these projects, the impor tance of logic minimization for the synthesis of area and performance effective circuits clearly emerged. In 1980, Richard Newton stirred our interest by pointing out new heuristic algorithms for two-level logic minimization and the potential for improving upon existing approaches. In the summer of 1981, the authors organized and participated in a seminar on logic manipulation at IBM Research. One of the goals of the seminar was to study the literature on logic minimization and to look at heuristic algorithms from a fundamental and comparative point of view. The fruits of this investigation were surprisingly abundant: it was apparent from an initial implementation of recursive logic minimiza tion (ESPRESSO-I) that, if we merged our new results into a two-level minimization program, an important step forward in automatic logic synthesis could result. ESPRESSO-II was born and an APL implemen tation was created in the summer of 1982. The results of preliminary tests on a fairly large set of industrial examples were good enough to justify the publication of our algorithms. It is hoped that the strength and speed of our minimizer warrant its Italian name, which denotes both express delivery and a specially-brewed black coffee.

Subjective Logic

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Publisher : Springer
ISBN 13 : 3319423371
Total Pages : 337 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Subjective Logic by : Audun Jøsang

Download or read book Subjective Logic written by Audun Jøsang and published by Springer. This book was released on 2016-10-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of subjective logic and all its operations. The author developed the approach, and in this book he first explains subjective opinions, opinion representation, and decision-making under vagueness and uncertainty, and he then offers a full definition of subjective logic, harmonising the key notations and formalisms, concluding with chapters on trust networks and subjective Bayesian networks, which when combined form general subjective networks. The author shows how real-world situations can be realistically modelled with regard to how situations are perceived, with conclusions that more correctly reflect the ignorance and uncertainties that result from partially uncertain input arguments. The book will help researchers and practitioners to advance, improve and apply subjective logic to build powerful artificial reasoning models and tools for solving real-world problems. A good grounding in discrete mathematics is a prerequisite.

Algorithmic Randomness and Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 0387684417
Total Pages : 883 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Algorithmic Randomness and Complexity by : Rodney G. Downey

Download or read book Algorithmic Randomness and Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

Logic and Theory of Algorithms

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Publisher : Springer
ISBN 13 : 9783540694076
Total Pages : 0 pages
Book Rating : 4.6/5 (94 download)

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Book Synopsis Logic and Theory of Algorithms by : Arnold Beckmann

Download or read book Logic and Theory of Algorithms written by Arnold Beckmann and published by Springer. This book was released on 2008-06-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: CiE 2008: Logic and Theory of Algorithms Athens, Greece, June 15–20, 2008 Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical devel- ment, and applications. Among the aims of the network is to advance our t- oretical understanding of what can and cannot be computed, by any means of computation. Its scienti?c vision is broad: computations may be performed with discrete or continuous data by all kinds of algorithms, programs, and - chines. Computations may be made by experimenting with any sort of physical system obeying the laws of a physical theory such as Newtonian mechanics, quantum theory, or relativity. Computations may be very general, depending on the foundations of set theory; or very speci?c, using the combinatorics of ?nite structures. CiE also works on subjects intimately related to computation, especially theories of data and information, and methods for formal reasoning about computations. The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, computational learning. Applications are everywhere,especially, in algebra,analysisand geometry, or data types and p- gramming. Within CiE there is general recognition of the underlying relevance of computability to physics and a broad range of other sciences, providing as it does a basic analysis of the causal structure of dynamical systems. Thisvolume,Logic andTheory of Algorithms,istheproceedingsofthefourth in a series of conferences of CiE that was held at the University of Athens, June 15–20, 2008.

Decision Procedures

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Publisher : Springer
ISBN 13 : 3662504979
Total Pages : 356 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Decision Procedures by : Daniel Kroening

Download or read book Decision Procedures written by Daniel Kroening and published by Springer. This book was released on 2016-11-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.

The Theory of Algorithms

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Publisher : Springer
ISBN 13 : 9027727732
Total Pages : 369 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis The Theory of Algorithms by : A.A. Markov

Download or read book The Theory of Algorithms written by A.A. Markov and published by Springer. This book was released on 1988-11-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will tind the tinal question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit CIad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite of ten in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to fiItering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Understanding Machine Learning

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Publisher : Cambridge University Press
ISBN 13 : 1107057132
Total Pages : 415 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Understanding Machine Learning by : Shai Shalev-Shwartz

Download or read book Understanding Machine Learning written by Shai Shalev-Shwartz and published by Cambridge University Press. This book was released on 2014-05-19 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces machine learning and its algorithmic paradigms, explaining the principles behind automated learning approaches and the considerations underlying their usage.

Proof Theory and Automated Deduction

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402003684
Total Pages : 448 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Proof Theory and Automated Deduction by : Jean Goubault-Larrecq

Download or read book Proof Theory and Automated Deduction written by Jean Goubault-Larrecq and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR

Groups, Languages, Algorithms

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836188
Total Pages : 348 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Groups, Languages, Algorithms by : Alexandre Borovik

Download or read book Groups, Languages, Algorithms written by Alexandre Borovik and published by American Mathematical Soc.. This book was released on 2005 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the pioneering works of Novikov and Maltsev, group theory has been a testing ground for mathematical logic in its many manifestations, from the theory of algorithms to model theory. The interaction between logic and group theory led to many prominent results which enriched both disciplines. This volume reflects the major themes of the American Mathematical Society/Association for Symbolic Logic Joint Special Session (Baltimore, MD), Interactions between Logic, Group Theory and Computer Science. Included are papers devoted to the development of techniques used for the interaction of group theory and logic. It is suitable for graduate students and researchers interested in algorithmic and combinatorial group theory. A complement to this work is Volume 349 in the AMS series, Contemporary Mathematics, Computational and Experimental Group Theory, which arose from the same meeting and concentrates on the interaction of group theory and computer science.