Advanced Logic for Applications

This book is intended to be a survey of the most important results in mathematical logic for philosophers.

Author: R.E. Grandy

Publisher: Springer

ISBN: 9027710341

Category: Philosophy

Page: 176

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This book is intended to be a survey of the most important results in mathematical logic for philosophers. It is a survey of results which have philosophical significance and it is intended to be accessible to philosophers. I have assumed the mathematical sophistication acquired· in an introductory logic course or in reading a basic logic text. In addition to proving the most philosophically significant results in mathematical logic, I have attempted to illustrate various methods of proof. For example, the completeness of quantification theory is proved both constructively and non-constructively and relative ad vantages of each type of proof are discussed. Similarly, constructive and non-constructive versions of Godel's first incompleteness theorem are given. I hope that the reader· will develop facility with the methods of proof and also be caused by reflect on their differences. I assume familiarity with quantification theory both in under standing the notations and in finding object language proofs. Strictly speaking the presentation is self-contained, but it would be very difficult for someone without background in the subject to follow the material from the beginning. This is necessary if the notes are to be accessible to readers who have had diverse backgrounds at a more elementary level. However, to make them accessible to readers with no background would require writing yet another introductory logic text. Numerous exercises have been included and many of these are integral parts of the proofs.

Advanced Logic for Applications

Advanced Logic for Applications RICHARD E. GRANDY Advanced Logic for Applications makes accessible to the non - mathematician a number of important results of wide interest and application from mathematical logic .

Author: R.E. Grandy

Publisher: Springer Science & Business Media

ISBN: 9027707812

Category: Gardening

Page: 167

View: 611

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This book is intended to be a survey of the most important results in mathematical logic for philosophers. It is a survey of results which have philosophical significance and it is intended to be accessible to philosophers. I have assumed the mathematical sophistication acquired· in an introductory logic course or in reading a basic logic text. In addition to proving the most philosophically significant results in mathematical logic, I have attempted to illustrate various methods of proof. For example, the completeness of quantification theory is proved both constructively and non-constructively and relative ad vantages of each type of proof are discussed. Similarly, constructive and non-constructive versions of Godel's first incompleteness theorem are given. I hope that the reader· will develop facility with the methods of proof and also be caused by reflect on their differences. I assume familiarity with quantification theory both in under standing the notations and in finding object language proofs. Strictly speaking the presentation is self-contained, but it would be very difficult for someone without background in the subject to follow the material from the beginning. This is necessary if the notes are to be accessible to readers who have had diverse backgrounds at a more elementary level. However, to make them accessible to readers with no background would require writing yet another introductory logic text. Numerous exercises have been included and many of these are integral parts of the proofs.

Logic for Applications

In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science.

Author: Anil Nerode

Publisher: Springer

ISBN: 1461268559

Category: Computers

Page: 456

View: 403

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In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.

Advanced Information Networking and Applications

Bai, Y., Wang, D.: Fundamentals of fuzzy logic control — fuzzy sets, fuzzy rules and defuzzifications. In: Bai, Y., Zhuang, H., Wang, D. (eds.) Advanced Fuzzy Logic Technologies in Industrial Applications, pp. 17–36.

Author: Leonard Barolli

Publisher: Springer Nature

ISBN: 9783030440411

Category: Technology & Engineering

Page: 1493

View: 805

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This proceedings book covers the theory, design and applications of computer networks, distributed computing and information systems. Today’s networks are evolving rapidly, and there are several developing areas and applications. These include heterogeneous networking supported by recent technological advances in power wireless communications, along with silicon integration of various functionalities such as sensing, communications, intelligence and actuations, which is emerging as a critically important disruptive computer class based on a new platform, networking structure and interface that enables novel, low-cost and high-volume applications. However, implemeting these applications has sometimes been difficult due to interconnection problems. As such, different networks need to collaborate, and wired and next-generation wireless systems need to be integrated in order to develop high-performance computing solutions to address the problems arising from these networks’ complexities. This ebook presents the latest research findings, as well as theoretical and practical perspectives on the innovative methods and development techniques related to the emerging areas of information networking and applications

Advanced Logic Programming for Language Processing

A large number of programs illustrate the advantages and current limitations of each feature. This book is essential reading for advanced undergraduates and graduates in computational linguistics and cognitive science.

Author: Patrick Saint-Dizier

Publisher:

ISBN: UOM:39015017437867

Category: Computational linguistics

Page: 286

View: 101

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For twenty years, unification and rewriting have played a major role in the modeling of linguistic phenomena. More recently, notions of types (as in typed feature systems) and constraints have emerged and are now extensively used in theoretical computational linguistics and the development of applications. Recent developments in the area of logic programming, such as new compilations techniques, constraints, object-oriented programming and higher-order programming, coincide perfectly with the needs of computational linguistics. Moreover, logic programming offers a well-defined theoretical framework whose computational properties are well identified and are efficient to operate. Advanced Logic Programming for Language Processing covers the main advanced features of logic programming. Each feature is introduced step by step, and its use for natural language processing is studied in detail. A large number of programs illustrate the advantages and current limitations of each feature. This book is essential reading for advanced undergraduates and graduates in computational linguistics and cognitive science. It will also interest engineers involved in the development of natural language techniques.

Advanced Logic Synthesis

Until a decade ago, research in parallel programming was driven largely by the needs of computational science applications, which use techniques like the finite-difference and finite-element methods to find approximate solutions to ...

Author: André Inácio Reis

Publisher: Springer

ISBN: 9783319672953

Category: Technology & Engineering

Page: 232

View: 756

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This book provides a single-source reference to the state-of-the-art in logic synthesis. Readers will benefit from the authors’ expert perspectives on new technologies and logic synthesis, new data structures, big data and logic synthesis, and convergent logic synthesis. The authors describe techniques that will enable readers to take advantage of recent advances in big data techniques and frameworks in order to have better logic synthesis algorithms.

Paraconsistency Logic and Applications

This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field.

Author: Koji Tanaka

Publisher: Springer Science & Business Media

ISBN: 9789400744387

Category: Philosophy

Page: 383

View: 722

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A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more "big picture" ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics.