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

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

Author: Igor Lavrov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 288

ISBN-13: 1461501857

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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.


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

Proofs and Algorithms

Author: Gilles Dowek

Publisher: Springer Science & Business Media

Published: 2011-01-11

Total Pages: 161

ISBN-13: 0857291211

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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.


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 161 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.


Theory of Algorithms

Theory of Algorithms

Author: Andreĭ Andreevich Markov

Publisher:

Published: 1954

Total Pages: 468

ISBN-13:

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Book Synopsis Theory of Algorithms by : Andreĭ Andreevich Markov

Download or read book Theory of Algorithms written by Andreĭ Andreevich Markov and published by . This book was released on 1954 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Logic Synthesis and Verification Algorithms

Logic Synthesis and Verification Algorithms

Author: Gary D. Hachtel

Publisher: Springer Science & Business Media

Published: 2005-12-17

Total Pages: 579

ISBN-13: 0306475928

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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.


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 2005-12-17 with total page 579 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

The Logic of Logistics

Author: David Simchi-Levi

Publisher: Springer Science & Business Media

Published: 2007-07-03

Total Pages: 355

ISBN-13: 0387226192

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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.


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

Propositional Logic

Author: Hans Kleine Büning

Publisher: Cambridge University Press

Published: 1999-08-28

Total Pages: 432

ISBN-13: 9780521630177

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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.


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.


Logic Minimization Algorithms for VLSI Synthesis

Logic Minimization Algorithms for VLSI Synthesis

Author: Robert K. Brayton

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 204

ISBN-13: 1461328217

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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.


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

Subjective Logic

Author: Audun Jøsang

Publisher: Springer

Published: 2016-10-27

Total Pages: 337

ISBN-13: 3319423371

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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.


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.


Logic and Theory of Algorithms

Logic and Theory of Algorithms

Author: Arnold Beckmann

Publisher: Springer Science & Business Media

Published: 2008-06-03

Total Pages: 613

ISBN-13: 3540694056

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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.


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

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

Author: Oscar Castillo

Publisher: Springer Nature

Published: 2021-03-24

Total Pages: 383

ISBN-13: 3030687767

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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.


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.