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Logic Language Information and Computation

Logic  Language  Information  and Computation Author Valeria de Paiva
ISBN-10 9783662477090
Release 2015-06-28
Pages 201
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Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 22nd Workshop on Logic, Language, Information and Computation, WoLLIC 2015, held in the campus of Indiana University, Bloomington, IN, USA in July 2015. The 14 contributed papers, presented together with 8 invited lectures and 4 tutorials, were carefully reviewed and selected from 44 submissions. The focus of the workshop was on interdisciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.

Logic Language Information and Computation

Logic  Language  Information and Computation Author Daniel Leivant
ISBN-10 9783540734451
Release 2007-07-04
Pages 366
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The 14th International Workshop on Logic, Language, Information and Computation focused on foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions, and resources; and foundational aspects of information organization, search, flow, sharing, and protection.

Quantifiers and Cognition Logical and Computational Perspectives

Quantifiers and Cognition  Logical and Computational Perspectives Author Jakub Szymanik
ISBN-10 9783319287492
Release 2016-02-19
Pages 211
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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.

Logic and Program Semantics

Logic and Program Semantics Author Robert L. Constable
ISBN-10 9783642294853
Release 2012-04-26
Pages 357
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This Festschrift volume is published in honor of Dexter Kozen on the occasion of his 60th birthday. Dexter Kozen has been a leader in the development of Kleene Algebras (KAs). The contributions in this volume reflect the breadth of his work and influence. The volume includes 19 full papers related to Dexter Kozen's research. They deal with coalgebraic methods, congruence closure; the completeness of various programming logics; decision procedure for logics; alternation; algorithms and complexity; and programming languages and program analysis. The second part of this volume includes laudatios from several collaborators, students and friends, including the members of his current band.

Iteration Theories

Iteration Theories Author Stephen L. Bloom
ISBN-10 9783642780349
Release 2012-12-06
Pages 630
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This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although we provide some prelimi nary facts in Chapter 1. Written both for graduate students and research scientists in theoret ical computer science and mathematics, the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have been used as semantical models, the equational properties of the fixed point operation are cap tured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and in finitary regular languages, trees, synchronization trees, 2-categories, and others.

Programming with Higher Order Logic

Programming with Higher Order Logic Author Dale Miller
ISBN-10 9780521879408
Release 2012-06-11
Pages 306
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Formal systems that describe computations over syntactic structures occur frequently in computer science. Logic programming provides a natural framework for encoding and animating such systems. However, these systems often embody variable binding, a notion that must be treated carefully at a computational level. This book aims to show that a programming language based on a simply typed version of higher-order logic provides an elegant, declarative means for providing such a treatment. Three broad topics are covered in pursuit of this goal. First, a proof-theoretic framework that supports a general view of logic programming is identified. Second, an actual language called λProlog is developed by applying this view to higher-order logic. Finally, a methodology for programming with specifications is exposed by showing how several computations over formal objects such as logical formulas, functional programs, and λ-terms and π-calculus expressions can be encoded in λProlog.

The Mathematics of Language

The Mathematics of Language Author Christian Ebert
ISBN-10 9783642143212
Release 2010-07-30
Pages 297
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Contains a selection of papers presented at the 10th and 11th Meeting of the Association for Mathematics of Language, held in Los Angeles, CA, USA in July 2007 and in Bielefeld, Germany, in August 2009. This title reflects a range of theoretical topics relating to language and computation.

Reference and Existence

Reference and Existence Author Saul A. Kripke
ISBN-10 9780199928385
Release 2013-06-06
Pages 170
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This volume collects Saul Kripke's Locke Lectures, which were delivered in Oxford in 1973.

Paraconsistent Logic Consistency Contradiction and Negation

Paraconsistent Logic  Consistency  Contradiction and Negation Author Walter Carnielli
ISBN-10 9783319332055
Release 2016-06-14
Pages 398
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This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistency This book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses (i) the history of paraconsistent logic; (ii) language, negation, contradiction, consistency and inconsistency; (iii) logics of formal inconsistency (LFIs) and the main paraconsistent propositional systems; (iv) many-valued companions, possible-translations semantics and non-deterministic semantics; (v) paraconsistent modal logics; (vi) first-order paraconsistent logics; (vii) applications to information processing, databases and quantum computation; and (viii) applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning.

Pazar Laz

Pazar Laz Author Markus Pöchtrager
ISBN-10 3862881490
Release 2011
Pages 167
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Pazar Laz has been writing in one form or another for most of life. You can find so many inspiration from Pazar Laz also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Pazar Laz book for free.

The Mathematics of Language

The Mathematics of Language Author Marcus Kracht
ISBN-10 9783110895667
Release 2003-01-01
Pages 605
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This book studies language(s) and linguistic theories from a mathematical point of view. Starting with ideas already contained in Montague's work, it develops the mathematical foundations of present day linguistics. It equips the reader with all the background necessary to understand and evaluate theories as diverse as Montague Grammar, Categorial Grammar, HPSG and GB. The mathematical tools are mainly from universal algebra and logic, but no particular knowledge is presupposed beyond a certain mathematical sophistication that is in any case needed in order to fruitfully work within these theories. The presentation focuses on abstract mathematical structures and their computational properties, but plenty of examples from different natural languages are provided to illustrate the main concepts and results. In contrast to books devoted to so-called formal language theory, languages are seen here as semiotic systems, that is, as systems of signs. A language sign correlates form with meaning. Using the principle of compositionality it is possible to gain substantial insight into the interaction between form and meaning in natural languages.

Logic Language and Meaning

Logic  Language and Meaning Author Maria Aloni
ISBN-10 9783642142871
Release 2010-09-21
Pages 476
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Logic Language and Meaning has been writing in one form or another for most of life. You can find so many inspiration from Logic Language and Meaning also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Logic Language and Meaning book for free.

Logic Across the University

Logic Across the University Author Johan van Benthem
ISBN-10 1848901224
Release 2013
Pages 538
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Modern logic is an active agent all across the university today, connecting disciplines, and transcending traditional boundaries. This book demonstrates this general role in the special setting of a conference at Tsinghua University, where modern logic was already taught in the 1930s by pioneers like Jin Yeulin. This boon contains an unusual dialogue between Chinese logicians and international colleagues representing a wide range of disciplines, including philosophy, mathematics, linguistics computer science, cognitive science, and the social sciences. The focus of this encounter is not only to advance logic in its university-wide role but also to look for its application in modern society.

Handbook of Spatial Logics

Handbook of Spatial Logics Author Marco Aiello
ISBN-10 9781402055874
Release 2007-09-04
Pages 1058
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The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.

Adverbs of Quantification

Adverbs of Quantification Author Henriëtte de Swart
ISBN-10 STANFORD:36105008866126
Release 1991
Pages 318
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Adverbs of Quantification has been writing in one form or another for most of life. You can find so many inspiration from Adverbs of Quantification also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Adverbs of Quantification book for free.

Mathematical Methods in Artificial Intelligence

Mathematical Methods in Artificial Intelligence Author Edward A. Bender
ISBN-10 0818672005
Release 1996-02-10
Pages 636
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Mathematical Methods in Artificial Intelligence introduces the student to the important mathematical foundations and tools in AI and describes their applications to the design of AI algorithms. This useful text presents an introductory AI course based on the most important mathematics and its applications. It focuses on important topics that are proven useful in AI and involve the most broadly applicable mathematics. The book explores AI from three different viewpoints: goals, methods or tools, and achievements and failures. Its goals of reasoning, planning, learning, or language understanding and use are centered around the expert system idea. The tools of AI are presented in terms of what can be incorporated in the data structures. The book looks into the concepts and tools of limited structure, mathematical logic, logic-like representation, numerical information, and nonsymbolic structures. The text emphasizes the main mathematical tools for representing and manipulating knowledge symbolically. These are various forms of logic for qualitative knowledge, and probability and related concepts for quantitative knowledge. The main tools for manipulating knowledge nonsymbolically, as neural nets, are optimization methods and statistics. This material is covered in the text by topics such as trees and search, classical mathematical logic, and uncertainty and reasoning. A solutions diskette is available, please call for more information.

Exploring Logical Dynamics

Exploring Logical Dynamics Author Johan F. A. K. van Benthem
ISBN-10 1575860589
Release 1996-08-28
Pages 341
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This book is an exploration of current trends in logical theories of information flow across various fields, such as belief revision in computer science or dynamic semantics in linguistics. It provides one mathematical perspective encompassing all of these. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in quite some detail. New results include theorems on expressive completeness, representation of styles of inference, and new kinds of decidable remodeling for standard logics. This theory is also confronted with practice in computer science, linguistics and philosophy.