Graph Structure and Monadic Second-Order Logic
Graph Structure and Monadic Second-Order Logic

Author: Bruno Courcelle

Publisher: Cambridge University Press

Published: 2012-06-14

Total Pages: 743

ISBN-13: 1139644009

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The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.

Handbook of Logic and Language
Handbook of Logic and Language

Author: Johan F.A.K. van Benthem

Publisher: Elsevier

Published: 2010-12-17

Total Pages: 1169

ISBN-13: 0444537279

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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

Language, Proof, and Logic
Language, Proof, and Logic

Author: Dave Barker-Plummer

Publisher: Stanford Univ Center for the Study

Published: 2011

Total Pages: 606

ISBN-13: 9781575866321

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Rev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy.

The Logic of Our Language
The Logic of Our Language

Author: Rodger L. Jackson

Publisher: Broadview Press

Published: 2014-11-04

Total Pages: 354

ISBN-13: 1460402782

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The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.

Language, Thought, and Logic
Language, Thought, and Logic

Author: John Martin Ellis

Publisher:

Published: 1993

Total Pages: 184

ISBN-13:

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Argues that categorization, and not syntax, is the most important aspect of language, suggests that some philosophical problems are caused by an inadequate theory of language, and promotes a fresh approach to linguistic theory.

Puzzles in Logic, Languages and Computation
Puzzles in Logic, Languages and Computation

Author: Dragomir Radev

Publisher: Springer Science & Business Media

Published: 2013-02-11

Total Pages: 208

ISBN-13: 3642343724

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This is the second volume of a unique collection that brings together the best English-language problems created for students competing in the Computational Linguistics Olympiad. These problems are representative of the diverse areas presented in the competition and designed with three principles in mind: · To challenge the student analytically, without requiring any explicit knowledge or experience in linguistics or computer science; · To expose the student to the different kinds of reasoning required when encountering a new phenomenon in a language, both as a theoretical topic and as an applied problem; · To foster the natural curiosity students have about the workings of their own language, as well as to introduce them to the beauty and structure of other languages; · To learn about the models and techniques used by computers to understand human language. Aside from being a fun intellectual challenge, the Olympiad mimics the skills used by researchers and scholars in the field of computational linguistics. In an increasingly global economy where businesses operate across borders and languages, having a strong pool of computational linguists is a competitive advantage, and an important component to both security and growth in the 21st century. This collection of problems is a wonderful general introduction to the field of linguistics through the analytic problem solving technique. "A fantastic collection of problems for anyone who is curious about how human language works! These books take serious scientific questions and present them in a fun, accessible way. Readers exercise their logical thinking capabilities while learning about a wide range of human languages, linguistic phenomena, and computational models. " - Kevin Knight, USC Information Sciences Institute

Language Logic
Language Logic

Author: Robyn Matthew

Publisher: Word Nerd Language and Educational Pub.

Published: 2006

Total Pages: 440

ISBN-13: 9780978064105

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Meaning and Argument
Meaning and Argument

Author: Ernest Lepore

Publisher: John Wiley & Sons

Published: 2012-09-14

Total Pages: 350

ISBN-13: 1118455215

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Meaning and Argument is a popular introduction to philosophy of logic and philosophy of language. Offers a distinctive philosophical, rather than mathematical, approach to logic Concentrates on symbolization and works out all the technical logic with truth tables instead of derivations Incorporates the insights of half a century's work in philosophy and linguistics on anaphora by Peter Geach, Gareth Evans, Hans Kamp, and Irene Heim among others Contains numerous exercises and a corresponding answer key An extensive appendix allows readers to explore subjects that go beyond what is usually covered in an introductory logic course Updated edition includes over a dozen new problem sets and revisions throughout Features an accompanying website at http://ruccs.rutgers.edu/~logic/MeaningArgument.html

Logical Form
Logical Form

Author: Andrea Iacona

Publisher: Springer

Published: 2018-01-28

Total Pages: 139

ISBN-13: 3319741543

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Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.