Logic and Structure

Logic and Structure PDF

Author: Dirk van Dalen

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 218

ISBN-13: 3662023822

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New corrected printing of a well-established text on logic at the introductory level.

Logic and Structure

Logic and Structure PDF

Author: Dirk van Dalen

Publisher: Springer Science & Business Media

Published: 2012-11-13

Total Pages: 267

ISBN-13: 1447145585

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Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen’s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products.

Graph Structure and Monadic Second-Order Logic

Graph Structure and Monadic Second-Order Logic PDF

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.

The Structure of Aristotelian Logic

The Structure of Aristotelian Logic PDF

Author: James Wilkinson Miller

Publisher: Routledge

Published: 2015-08-14

Total Pages: 97

ISBN-13: 1317375424

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Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.

Computer Structure and Logic

Computer Structure and Logic PDF

Author: Dave Prowse

Publisher: Pearson Education

Published: 2011-01-25

Total Pages: 620

ISBN-13: 0132682826

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Computer Structure and Logic Pearson Certification Team The place to start your computer career! Learn about computers and networks from the ground up! Learn about computers and networks from the ground up! Your first step toward certifications from CompTIA, Microsoft, or Cisco... absolutely no experience necessary! Explains every part of your computer and shows how each part works together Teaches simple troubleshooting and repair techniques Packed with real-world examples and case studies Master the basics and build your strong foundation for success! I/O: How information gets into and out of computers Motherboards and buses: How your computer’s parts are connected CPU: How your computer’s “brain” works—and how to install and troubleshoot it Memory and storage: The types you need and how to install them Bootup: How your computer starts, what can go wrong, and how to fix it Operating systems: The basics of Windows, Mac OS X, and Linux Basic security: Protecting your data, connections, and computer Troubleshooting: The tools and methods every good PC technician must know Networks and the Internet: How they work, how they communicate, and how to connect to them Test your knowledge, gain confidence, and succeed! More than 150 questions, with clear explanations of every answer!

Discrete Structures, Logic, and Computability

Discrete Structures, Logic, and Computability PDF

Author: James L. Hein

Publisher: Jones & Bartlett Learning

Published: 2001

Total Pages: 976

ISBN-13: 9780763718435

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Discrete Structure, Logic, and Computability introduces the beginning computer science student to some of the fundamental ideas and techniques used by computer scientists today, focusing on discrete structures, logic, and computability. The emphasis is on the computational aspects, so that the reader can see how the concepts are actually used. Because of logic's fundamental importance to computer science, the topic is examined extensively in three phases that cover informal logic, the technique of inductive proof; and formal logic and its applications to computer science.

Logic and Structure

Logic and Structure PDF

Author: Dirk van Dalen

Publisher: Springer Science & Business Media

Published: 2008-07-29

Total Pages: 275

ISBN-13: 3540851089

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New corrected printing of a well-established text on logic at the introductory level.

The Logic of Typed Feature Structures

The Logic of Typed Feature Structures PDF

Author: Bob Carpenter

Publisher:

Published: 1992

Total Pages: 270

ISBN-13: 9780521419321

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This book develops the theory of typed feature structures and provides a logical foundation for logic programming and constraint based reasoning systems.

Well-structured Mathematical Logic

Well-structured Mathematical Logic PDF

Author: Damon Scott

Publisher:

Published: 2013

Total Pages: 0

ISBN-13: 9781611633689

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Well-Structured Mathematical Logic does for logic what Structured Programming did for computation: make large-scale work possible. From the work of George Boole onward, traditional logic was made to look like a form of symbolic algebra. In this work, the logic undergirding conventional mathematics resembles well-structured computer programs. A very important feature of the new system is that it structures the expression of mathematics in much the same way that people already do informally. In this way, the new system is simultaneously machine-parsable and user-friendly, just as Structured Programming is for algorithms. Unlike traditional logic, the new system works with you, not against you, as you use it to structure--and understand--the mathematics you work with on a daily basis. The book provides a complete guide to its subject matter. It presents the major results and theorems one needs to know in order to use the new system effectively. Two chapters provide tutorials for the reader in the new way that symbols move when logical calculations are performed in the well-structured system. Numerous examples and discussions are provided to illustrate the system's many results and features. Well-Structured Mathematical Logic is accessible to anyone who has at least some knowledge of traditional logic to serve as a foundation, and is of interest to all who need a system of pliant, user-friendly mathematical logic to use in their work in mathematics and computer science.