Finite Model Theory

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Author: Heinz-Dieter Ebbinghaus,Jörg Flum

Publisher: Springer Science & Business Media

ISBN: 3540287884

Category: Mathematics

Page: 360

View: 6890

This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.

Quantifiers and Cognition: Logical and Computational Perspectives

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Author: Jakub Szymanik

Publisher: Springer

ISBN: 3319287494

Category: Language Arts & Disciplines

Page: 211

View: 3096

This volume on the semantic complexity of natural language explores the question why some sentences are more difficult than others. While doing so, it lays the groundwork for extending semantic theory with computational and cognitive aspects by combining linguistics and logic with computations and cognition. Quantifier expressions occur whenever we describe the world and communicate about it. Generalized quantifier theory is therefore one of the basic tools of linguistics today, studying the possible meanings and the inferential power of quantifier expressions by logical means. The classic version was developed in the 1980s, at the interface of linguistics, mathematics and philosophy. Before this volume, advances in "classic" generalized quantifier theory mainly focused on logical questions and their applications to linguistics, this volume adds a computational component, the third pillar of language use and logical activity. This book is essential reading for researchers in linguistics, philosophy, cognitive science, logic, AI, and computer science.

Beyond First Order Model Theory

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Author: Jose Iovino

Publisher: CRC Press

ISBN: 1315351099

Category: Mathematics

Page: 427

View: 349

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.

Language and Automata Theory and Applications

10th International Conference, LATA 2016, Prague, Czech Republic, March 14-18, 2016, Proceedings

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Author: Adrian-Horia Dediu,Jan Janoušek,Carlos Martín-Vide,Bianca Truthe

Publisher: Springer

ISBN: 3319300008

Category: Computers

Page: 618

View: 4397

This book constitutes the refereed proceedings of the 10th International Conference on Language and Automata Theory and Applications, LATA 2016, held in Prague, Czech Republic, in March 2016. The 42 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 119 submissions. The papers cover the following topics: algebraic language theory; algorithms for semi-structured data mining, algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata networks, concurrency and Petri nets; automatic structures; cellular automata, codes, combinatorics on words; computational complexity; data and image compression; descriptional complexity; digital libraries and document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; parallel and regulated rewriting; parsing; patterns; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.

Theoretical Computer Science

7th IFIP TC1/WG 2.2 International Conference, TCS 2012, Amsterdam, The Netherlands, September 26-28, 2012, Proceedings

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Author: Jos C.M. Baeten,Tom Ball,Frank S. de Boer

Publisher: Springer

ISBN: 364233475X

Category: Computers

Page: 393

View: 6175

This book constitutes the refereed proceedings of the 7th FIP WG 2.2 International Conference, TCS 2012, held in Amsterdam, The Netherlands, in September 2012. The 25 revised full papers presented, together with one invited talk, were carefully reviewed and selected from 48 submissions. New results of computation theory are presented and more broadly experts in theoretical computer science meet to share insights and ask questions about the future directions of the field.

Fields of Logic and Computation II

Essays Dedicated to Yuri Gurevich on the Occasion of His 75th Birthday

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Author: Lev D. Beklemishev,Andreas Blass,Nachum Dershowitz,Bernd Finkbeiner,Wolfram Schulte

Publisher: Springer

ISBN: 3319235346

Category: Computers

Page: 319

View: 6355

This Festschrift is published in honor of Yuri Gurevich's 75th birthday. Yuri Gurevich has made fundamental contributions on the broad spectrum of logic and computer science, including decision procedures, the monadic theory of order, abstract state machines, formal methods, foundations of computer science, security, and much more. Many of these areas are reflected in the 20 articles in this Festschrift and in the presentations at the "Yurifest" symposium, which was held in Berlin, Germany, on September 11 and 12, 2015. The Yurifest symposium was co-located with the 24th EACSL Annual Conference on Computer Science Logic (CSL 2015).

Topological Model Theory

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Author: Jörg Flum,Martin Ziegler

Publisher: Springer Verlag

ISBN: N.A

Category: Mathematics

Page: 149

View: 6053

Parameterized Complexity Theory

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Author: J. Flum,M. Grohe

Publisher: Springer Science & Business Media

ISBN: 9783540299530

Category: Computers

Page: 495

View: 7644

This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes. It presents detailed proofs of recent advanced results that have not appeared in book form before and replaces the earlier publication "Parameterized Complexity" by Downey and Fellows as the definitive book on this subject. The book will interest computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.

Newsletter

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Author: New Zealand Mathematical Society

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8446

Einführung in die mathematische Logik

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Author: Heinz-Dieter Ebbinghaus,Jörg Flum,Wolfgang Thomas

Publisher: Springer Spektrum

ISBN: 9783662580288

Category: Mathematics

Page: 367

View: 7207

Was ist ein mathematischer Beweis? Wie lassen sich Beweise rechtfertigen? Gibt es Grenzen der Beweisbarkeit? Ist die Mathematik widerspruchsfrei? Kann man das Auffinden mathematischer Beweise Computern übertragen? Erst im 20. Jahrhundert ist es der mathematischen Logik gelungen, weitreichende Antworten auf diese Fragen zu geben: Im vorliegenden Werk werden die Ergebnisse systematisch zusammengestellt; im Mittelpunkt steht dabei die Logik erster Stufe. Die Lektüre setzt – außer einer gewissen Vertrautheit mit der mathematischen Denkweise – keine spezifischen Kenntnisse voraus. In der vorliegenden 5. Auflage finden sich erstmals Lösungsskizzen zu den Aufgaben.

Stochastic Processes - Inference Theory

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Author: Malempati M. Rao

Publisher: Springer

ISBN: 3319121723

Category: Mathematics

Page: 669

View: 6708

This is the revised and enlarged 2nd edition of the authors’ original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected applications, for example in econometrics. The first three chapters can be used for a quarter or semester graduate course on inference on stochastic processes. The remaining chapters provide more advanced material on stochastic analysis suitable for graduate seminars and discussions, leading to dissertation or research work. In general, the book will be of interest to researchers in probability theory, mathematical statistics and electrical and information theory.

The Higher Infinite

Large Cardinals in Set Theory from Their Beginnings

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Author: Akihiro Kanamori

Publisher: Springer Science & Business Media

ISBN: 3540888667

Category: Mathematics

Page: 538

View: 1745

Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.

Fundamentals of Mathematical Logic

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Author: Peter G. Hinman

Publisher: A K Peters/CRC Press

ISBN: 9781568812625

Category: Mathematics

Page: 896

View: 3178

This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry:

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Author: Raf Cluckers,Johannes Nicaise,Julien Sebag

Publisher: Cambridge University Press

ISBN: 1139501739

Category: Mathematics

Page: N.A

View: 7333

The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This second volume discusses various applications of non-Archimedean geometry, model theory and motivic integration and the interactions between these domains.

Mathematical Foundations of Computer Science 2003

28th International Symposium, MFCS 2003, Bratislava, Slovakia, August 25-29, 2003, Proceedings

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Author: Branislav Rovan,Peter Vojtas

Publisher: Springer

ISBN: N.A

Category: Computers

Page: 692

View: 4489

This book constitutes the refereed proceedings of the 28th International Symposium on Mathematical Foundations of Computer Science, MFCS 2003, held in Bratislava, Slovakia in August 2003. The 55 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 137 submissions. All current aspects in theoretical computer science are addressed, ranging from discrete mathematics, combinatorial optimization, graph theory, networking, algorithms, and complexity to programming theory, formal methods, and mathematical logic.

Strict Finitism and the Logic of Mathematical Applications

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Author: Feng Ye

Publisher: Springer Science & Business Media

ISBN: 9789400713475

Category: Science

Page: 272

View: 9134

This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity). The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It also shows that the applications of those classical theories to the finite physical world can be translated into the applications of strict finitism, which demonstrates the applicability of those classical theories without assuming the literal truth of those theories or the reality of infinity. Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.

Set Theory

The Third Millennium Edition, revised and expanded

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Author: Thomas Jech

Publisher: Springer Science & Business Media

ISBN: 354044761X

Category: Mathematics

Page: 772

View: 8607

This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS

Numerik 3x9

Drei Themengebiete in jeweils neun kurzen Kapiteln

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Author: Sören Bartels

Publisher: Springer-Verlag

ISBN: 3662482037

Category: Mathematics

Page: 380

View: 4974

Dieses Buch bietet eine Einführung in Methoden zur praktischen Lösung mathematischer Probleme, wie der Bestimmung von Eigenwerten, der Approximation und Integration von Funktionen und der näherungsweisen Lösung gewöhnlicher Differenzialgleichungen. Vorausgesetzt werden nur Grundkenntnisse aus der linearen Algebra und Analysis sowie elementare Programmiererfahrungen. Lernziele, Tests zur Selbstüberprüfung und Anwendungsaufgaben am Ende jedes Kapitels vertiefen das Verständnis. Im Anhang des Buchs finden sich unter anderem eine umfangreiche Aufgabensammlung, detaillierte Beschreibungen für Programmierprojekte, Einführungen in die Programmiersprachen Matlab und C und einige Beispielprogramme.