Applied Logic How What And Why

Author : László Pólos,M. Masuch
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 48,5 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401585330

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Applied Logic: How, What and Why by László Pólos,M. Masuch Pdf

A selection of papers presented at the international conference `Applied Logic: Logic at Work', held in Amsterdam in December 1992. Nowadays, the term `applied logic' has a very wide meaning, as numerous applications of logical methods in computer science, formal linguistics and other fields testify. Such applications are by no means restricted to the use of known logical techniques: at its best, applied logic involves a back-and-forth dialogue between logical theory and the problem domain. The papers focus on the application of logic to the study of natural language, in syntax, semantics and pragmatics, and the effect of these studies on the development of logic. In the last decade, the dynamic nature of natural language has been the most interesting challenge for logicians. Dynamic semantics is here applied to new topics, the dynamic approach is extended to syntax, and several methodological issues in dynamic semantics are systematically investigated. Other methodological issues in the formal studies of natural language are discussed, such as the need for types, modal operators and other logical operators in the formal framework. Further articles address the scope of these methodological issues from other perspectives ranging from cognition to computation. The volume presents papers that are interesting for graduate students and researchers in the field of logic, philosophy of language, formal semantics and pragmatics, and computational linguistics.

Author : Mauricio Ayala-Rincón,Flávio L. C. de Moura
Publisher : Springer
Page : 150 pages
File Size : 43,9 Mb
Release : 2017-02-04
Category : Computers
ISBN : 9783319516530

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Applied Logic for Computer Scientists by Mauricio Ayala-Rincón,Flávio L. C. de Moura Pdf

This book provides an introduction to logic and mathematical induction which are the basis of any deductive computational framework. A strong mathematical foundation of the logical engines available in modern proof assistants, such as the PVS verification system, is essential for computer scientists, mathematicians and engineers to increment their capabilities to provide formal proofs of theorems and to certify the robustness of software and hardware systems. The authors present a concise overview of the necessary computational and mathematical aspects of ‘logic’, placing emphasis on both natural deduction and sequent calculus. Differences between constructive and classical logic are highlighted through several examples and exercises. Without neglecting classical aspects of computational logic, the authors also highlight the connections between logical deduction rules and proof commands in proof assistants, presenting simple examples of formalizations of the correctness of algebraic functions and algorithms in PVS. Applied Logic for Computer Scientists will not only benefit students of computer science and mathematics but also software, hardware, automation, electrical and mechatronic engineers who are interested in the application of formal methods and the related computational tools to provide mathematical certificates of the quality and accuracy of their products and technologies.

Author : Dov M. Gabbay,Sergei S. Goncharov,Michael Zakharyaschev
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 51,6 Mb
Release : 2006-07-02
Category : Mathematics
ISBN : 9780387310725

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Mathematical Problems from Applied Logic I by Dov M. Gabbay,Sergei S. Goncharov,Michael Zakharyaschev Pdf

This is an overview of the current state of knowledge along with open problems and perspectives, clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and computability theory. The book includes contributions concerning the role of logic today, including unexpected aspects of contemporary logic and the application of logic. This book will be of interest to logicians and mathematicians in general.

Author : Dov Gabbay,Sergei Goncharov,Michael Zakharyaschev
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 43,7 Mb
Release : 2007-07-28
Category : Mathematics
ISBN : 9780387692456

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Mathematical Problems from Applied Logic II by Dov Gabbay,Sergei Goncharov,Michael Zakharyaschev Pdf

This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.

Author : Winston W. Little,W. Edgar Moore,W. Harold Wilson
Publisher : Unknown
Page : 351 pages
File Size : 46,6 Mb
Release : 1952
Category : Electronic
ISBN : OCLC:281685618

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Applied Logic by Winston W. Little,W. Edgar Moore,W. Harold Wilson Pdf

Author : Walter Carnielli,Marcelo Coniglio,Dov M. Gabbay,Paula Gouveia,Cristina Sernadas
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 49,7 Mb
Release : 2008-01-22
Category : Mathematics
ISBN : 9781402067822

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Analysis and Synthesis of Logics by Walter Carnielli,Marcelo Coniglio,Dov M. Gabbay,Paula Gouveia,Cristina Sernadas Pdf

Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.

Author : S. Akama
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401156387

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Logic, Language and Computation by S. Akama Pdf

The editors of the Applied Logic Series are happy to present to the reader the fifth volume in the series, a collection of papers on Logic, Language and Computation. One very striking feature of the application of logic to language and to computation is that it requires the combination, the integration and the use of many diverse systems and methodologies - all in the same single application. The papers in this volume will give the reader a glimpse into the problems of this active frontier of logic. The Editors CONTENTS Preface IX 1. S. AKAMA Recent Issues in Logic, Language and Computation 1 2. M. J. CRESSWELL Restricted Quantification 27 3. B. H. SLATER The Epsilon Calculus' Problematic 39 4. K. VON HEUSINGER Definite Descriptions and Choice Functions 61 5. N. ASHER Spatio-Temporal Structure in Text 93 6. Y. NAKAYAMA DRT and Many-Valued Logics 131 7. S. AKAMA On Constructive Modality 143 8. H. W ANSING Displaying as Temporalizing: Sequent Systems for Subintuitionistic Logics 159 9. L. FARINAS DEL CERRO AND V. LUGARDON 179 Quantification and Dependence Logics 10. R. SYLVAN Relevant Conditionals, and Relevant Application Thereof 191 Index 245 Preface This is a collection of papers by distinguished researchers on Logic, Lin guistics, Philosophy and Computer Science. The aim of this book is to address a broad picture of the recent research on related areas. In particular, the contributions focus on natural language semantics and non-classical logics from different viewpoints.

Author : Laszlo Polos,M. Masuch
Publisher : Unknown
Page : 404 pages
File Size : 41,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401585342

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Applied Logic by Laszlo Polos,M. Masuch Pdf

Author : Michael Masuch,Laszlo Polos
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 55,6 Mb
Release : 1994-06-28
Category : Computers
ISBN : 3540580956

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Knowledge Representation and Reasoning Under Uncertainty by Michael Masuch,Laszlo Polos Pdf

This volume is based on the International Conference Logic at Work, held in Amsterdam, The Netherlands, in December 1992. The 14 papers in this volume are selected from 86 submissions and 8 invited contributions and are all devoted to knowledge representation and reasoning under uncertainty, which are core issues of formal artificial intelligence. Nowadays, logic is not any longer mainly associated to mathematical and philosophical problems. The term applied logic has a far wider meaning, as numerous applications of logical methods, particularly in computer science, artificial intelligence, or formal linguistics, testify. As demonstrated also in this volume, a variety of non-standard logics gained increased importance for knowledge representation and reasoning under uncertainty.

Author : Dov M. Gabbay,S. S. Goncharov,Michael Zakharyaschev
Publisher : Unknown
Page : 128 pages
File Size : 43,5 Mb
Release : 2006
Category : Logic, Symbolic and mathematical
ISBN : LCCN:2005931830

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Mathematical Problems from Applied Logic by Dov M. Gabbay,S. S. Goncharov,Michael Zakharyaschev Pdf

Author : Ayala-Rincón
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 2017
Category : Electronic
ISBN : 3319516523

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Applied Logic for Computer Scientists by Ayala-Rincón Pdf

Author : Katalin Bimbó
Publisher : CRC Press
Page : 359 pages
File Size : 53,9 Mb
Release : 2011-07-27
Category : Computers
ISBN : 9781439800003

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Combinatory Logic by Katalin Bimbó Pdf

Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Functioning as a comprehensive source for current developments of combinatory logic, this book is the only one of its kind to cover results of the last four decades. Using a reader-friendly style, the author presents the most up-to-date research studies. She includes an introduction to combinatory logic before progressing to its central theorems and proofs. The text makes intelligent and well-researched connections between combinatory logic and lambda calculi and presents models and applications to illustrate these connections.

Author : Wei Li
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 49,7 Mb
Release : 2010-02-26
Category : Mathematics
ISBN : 9783764399771

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Mathematical Logic by Wei Li Pdf

Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.

Author : Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 41,5 Mb
Release : 2011-07-16
Category : Computers
ISBN : 9780857298089

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Computational Logic and Set Theory by Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo Pdf

This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.

Author : L. Magnani,N.J. Nersessian,Claudio Pizzi
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401005500

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Logical and Computational Aspects of Model-Based Reasoning by L. Magnani,N.J. Nersessian,Claudio Pizzi Pdf

Information technology has been, in recent years, under increasing commercial pressure to provide devices and systems which help/ replace the human in his daily activity. This pressure requires the use of logic as the underlying foundational workhorse of the area. New logics were developed as the need arose and new foci and balance has evolved within logic itself. One aspect of these new trends in logic is the rising impor tance of model based reasoning. Logics have become more and more tailored to applications and their reasoning has become more and more application dependent. In fact, some years ago, I myself coined the phrase "direct deductive reasoning in application areas", advocating the methodology of model-based reasoning in the strongest possible terms. Certainly my discipline of Labelled Deductive Systems allows to bring "pieces" of the application areas as "labels" into the logic. I therefore heartily welcome this important book to Volume 25 of the Applied Logic Series and see it as an important contribution in our overall coverage of applied logic.