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Quantifiers Logics Models And Computation
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Book Synopsis Quantifiers: Logics, Models and Computation by : Michal Krynicki
Download or read book Quantifiers: Logics, Models and Computation written by Michal Krynicki and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantifiers: Logics, Models and Computation is the first concentrated effort to give a systematic presentation of the main research results on the subject, since the modern concept was formulated in the late '50s and early '60s. The majority of the papers are in the nature of a handbook. All of them are self-contained, at various levels of difficulty. The Introduction surveys the main ideas and problems encountered in the logical investigation of quantifiers. The Prologue, written by Per Lindström, presents the early history of the concept of generalised quantifiers. The volume then continues with a series of papers surveying various research areas, particularly those that are of current interest. Together they provide introductions to the subject from the points of view of mathematics, linguistics, and theoretical computer science. The present volume has been prepared in parallel with Quantifiers: Logics, Models and Computation, Volume Two. Contributions, which contains a collection of research papers on the subject in areas that are too fresh to be summarised. The two volumes are complementary. For logicians, mathematicians, philosophers, linguists and computer scientists. Suitable as a text for advanced undergraduate and graduate specialised courses in logic.
Book Synopsis Quantifiers: Logics, Models and Computation by : Michal Krynicki
Download or read book Quantifiers: Logics, Models and Computation written by Michal Krynicki and published by Springer. This book was released on 1995-04-30 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantifier concept is central to current logical investigations. Quantifiers: Logics, Models and Computation. Volume Two: Contributions contains twelve research papers devoted to generalized quantifiers and their applications. It offers an exhaustive survey of logical methods that are useful in investigations involving generalized quantifiers. Both model-theoretical and proof-theoretical approaches are well represented. Moreover, some papers focus on the applications of logical theory, particularly in relation to semantics of natural language. The volume includes a wide-ranging survey of logical methods which are useful in investigations into generalized quantifiers. The book is the second volume of a large collection. The first volume - Quantifiers: Logics, Models and Computation. Volume One: Surveys - contains a collection of survey papers on selected, well-defined areas organized around the quantifier concept. Volumes One and Two are complementary. For logicians, mathematicians, philosophers, linguists and computer scientists. Also suitable as a text for advanced undergraduate or graduate specialized courses in logic.
Download or read book Quantifiers written by Michal Krynicki and published by . This book was released on 1995-05-31 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Quantifiers and Computation by : Jouko Väänänen
Download or read book Generalized Quantifiers and Computation written by Jouko Väänänen and published by Springer. This book was released on 2003-06-26 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises revised full versions of lectures given during the 9th European Summer School in Logic, Languages, and Information, ESSLLI'97, held in Aix-en-Provence, France, in August 1997. The six lectures presented introduce the reader to the state of the art in the area of generalized quantifiers and computation. Besides an introductory survey by the volume editor various aspects of generalized quantifiers are studied in depth.
Book Synopsis Quantifiers in Language and Logic by : Stanley Peters
Download or read book Quantifiers in Language and Logic written by Stanley Peters and published by Oxford University Press. This book was released on 2006-04-27 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, and many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.Quantifiers in Language and Logic is intended for everyone with a scholarly interest in the exact treatment of meaning. It presents a broad view of the semantics and logic of quantifier expressions in natural languages and, to a slightly lesser extent, in logical languages. The authors progress carefully from a fairly elementary level to considerable depth over the course of sixteen chapters; their book will be invaluable to a broad spectrum of readers, from those with a basicknowledge of linguistic semantics and of first-order logic to those with advanced knowledge of semantics, logic, philosophy of language, and knowledge representation in artificial intelligence.
Book Synopsis Fuzzy Quantifiers by : Ingo Glöckner
Download or read book Fuzzy Quantifiers written by Ingo Glöckner and published by Springer. This book was released on 2008-08-11 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides if “Most Ame- cans voted Kerry” or “Most Americans voted Bush” (as it stands). Natural language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant purpose because they permit us to speak about properties of collections, as opposed to describing speci?c individuals only; in technical terms, qu- ti?ers are a ‘second-order’ construct. Thus the quantifying statement “Most Americans voted Bush” asserts that the set of voters of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething about a speci?c individual. By describing collections rather than individuals, quanti?ers extend the expressive power of natural languages far beyond that of propositional logic and make them a universal communication medium. Hence language heavily depends on quantifying constructions. These often involve fuzzy concepts like “tall”, and they frequently refer to fuzzy quantities in agreement like “about ten”, “almost all”, “many” etc. In order to exploit this expressive power and make fuzzy quanti?cation available to technical applications, a number of proposals have been made how to model fuzzy quanti?ers in the framework of fuzzy set theory. These approaches usually reduce fuzzy quanti?cation to a comparison of scalar or fuzzy cardinalities [197, 132].
Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2007-09-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourteenth volume of the Second Edition covers central topics in philosophical logic that have been studied for thousands of years, since Aristotle: Inconsistency, Causality, Conditionals, and Quantifiers. These topics are central in many applications of logic in central disciplines and this book is indispensable to any advanced student or researcher using logic in these areas. The chapters are comprehensive and written by major figures in the field.
Book Synopsis A Concise Introduction to Logic by : Craig DeLancey
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantifiers and Cognition: Logical and Computational Perspectives by : Jakub Szymanik
Download or read book Quantifiers and Cognition: Logical and Computational Perspectives written by Jakub Szymanik and published by Springer. This book was released on 2016-02-19 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Handbook of Logic and Language by : Johan F.A.K. van Benthem
Download or read book Handbook of Logic and Language written by Johan F.A.K. van Benthem and published by Elsevier. This book was released on 2010-12-17 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories
Book Synopsis Semantics. Volume 2 by : Klaus von Heusinger
Download or read book Semantics. Volume 2 written by Klaus von Heusinger and published by Walter de Gruyter. This book was released on 2011-12-23 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "SEMANTICS (VON HEUSINGER ET AL.) BD. 33.2 HSK E-BOOK".
Book Synopsis Feferman on Foundations by : Gerhard Jäger
Download or read book Feferman on Foundations written by Gerhard Jäger and published by Springer. This book was released on 2018-04-04 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Book Synopsis Logic and Games on Automatic Structures by : Lukasz Kaiser
Download or read book Logic and Games on Automatic Structures written by Lukasz Kaiser and published by Springer Science & Business Media. This book was released on 2011-07-22 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: The evaluation of a logical formula can be viewed as a game played by two opponents, one trying to show that the formula is true and the other trying to prove it is false. This correspondence has been known for a very long time and has inspired numerous research directions. In this book, the author extends this connection between logic and games to the class of automatic structures, where relations are recognized by synchronous finite automata. In model-checking games for automatic structures, two coalitions play against each other with a particular kind of hierarchical imperfect information. The investigation of such games leads to the introduction of a game quantifier on automatic structures, which connects alternating automata with the classical model-theoretic notion of a game quantifier. This study is then extended, determining the memory needed for strategies in infinitary games on the one hand, and characterizing regularity-preserving Lindström quantifiers on the other. Counting quantifiers are investigated in depth: it is shown that all countable omega-automatic structures are in fact finite-word automatic and that the infinity and uncountability set quantifiers are definable in MSO over countable linear orders and over labeled binary trees. This book is based on the PhD thesis of Lukasz Kaiser, which was awarded with the E.W. Beth award for outstanding dissertations in the fields of logic, language, and information in 2009. The work constitutes an innovative study in the area of algorithmic model theory, demonstrating the deep interplay between logic and computability in automatic structures. It displays very high technical and presentational quality and originality, advances significantly the field of algorithmic model theory and raises interesting new questions, thus emerging as a fruitful and inspiring source for future research.
Book Synopsis Quantification in Nonclassical Logic by : Dov M. Gabbay
Download or read book Quantification in Nonclassical Logic written by Dov M. Gabbay and published by Elsevier. This book was released on 2009-06-20 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy and language in ancient times; they were studied by traditional informal methods until the 20th century. In the last century the tools became highly mathematical, and both modal logic and quantification found numerous applications in Computer Science. At the same time many other kinds of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional modal logics, this book is the first detailed monograph in nonclassical first-order quantification. It includes results obtained during the past thirty years. The field is very large, so we confine ourselves with only two kinds of logics: modal and superintuitionistic. The main emphasis of Volume 1 is model-theoretic, and it concentrates on descriptions of different sound semantics and completeness problem --- even for these seemingly simple questions we have our hands full. The major part of the presented material has never been published before. Some results are very recent, and for other results we either give new proofs or first proofs in full detail.
Book Synopsis Strategies of Quantification by : Kook-Hee Gil
Download or read book Strategies of Quantification written by Kook-Hee Gil and published by Oxford University Press. This book was released on 2013-02-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantification has been at the heart of research in the syntax and semantics of natural language since Aristotle. The last few decades have seen an explosion of detailed studies of the syntax and semantics of quantification and its relation to the rest of the theory of grammar, resulting in a highly sophisticated understanding of the mechanisms of quantification. This book considers the ways natural languages vary with respect to their realisation of quantificational notions. Drawing on data from English, German, Japanese, Korean, Mandarin, Hausa and others, the authors also link the variation in the expression of quantification to the notions of polarity sensitivity, free-choice and indefiniteness.
Book Synopsis Semantics - Noun Phrases and Verb Phrases by : Paul Portner
Download or read book Semantics - Noun Phrases and Verb Phrases written by Paul Portner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gain a deeper understanding of essential research on the semantics of noun phrases and verb phrases. Clear explanations of significant recent research bring complex issues to life, with expert guidance on topics of debate within the field. The book gives readers valuable insights into topics such as definiteness, specificity, genericity aspect, aktionsart and mood. It also discusses directions for future research. Written by a world-class team of authors, these highly cited articles are here in paperback for the first time since their original publication. An essential reference for researchers in the area.
Book Synopsis Automata, Languages and Programming by : Thomas Ottmann
Download or read book Automata, Languages and Programming written by Thomas Ottmann and published by Springer Science & Business Media. This book was released on 1987-07-08 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 14th International Colloquium on Automata Languages and Programming, organized by the European Association for Theoretical Computer Science (EATCS) and held in Karlsruhe, July 13-17, 1987. The papers report on original research in theoretical computer science and cover topics such as algorithms and data structures, automata and formal languages, computability and complexity theory, semantics of programming languages, program specification, transformation and verification, theory of data bases, logic programming, theory of logical design and layout, parallel and distributed computation, theory of concurrency, symbolic and algebraic computation, term rewriting systems, cryptography, and theory of robotics. The authors are young scientists and leading experts in these areas.
