Contemporary Logic And Computing

Author : Adrian Rezus
Publisher : Unknown
Page : 738 pages
File Size : 46,5 Mb
Release : 2020-07-13
Category : Mathematics
ISBN : 1848903405

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Contemporary Logic and Computing by Adrian Rezus Pdf

The present volume stems from a book-proposal made about two years ago to College Publications, London. The main idea was that of illustrating the interplay between the contemporary work in logic and the mainstream mathematics. The division of the volume in two sections - topics in 'logic' vs topics in 'computing' - is more or less conventional. Some contributions are focussed on historical and technical details meant to put in perspective the impact of the work of some outstanding mathematicians and philosophers on the contemporary research in logic and computing science. Some other papers, also with a historical flavour, were supposed to evidentiate punctual methods of research and specific concepts or topics, as, e.g., decidability, computability, randomness, and computational or descriptive complexity. In general, the papers were intended as specific surveys of results. Other volumes - to be issued subsequently in the same series - will hopefully delineate aspects of the contemporary logic landscape that have not been illustrated here. The intended audience of the book includes graduate students in mathematical logic, foundations of matematics, and computing science, as well as philosophers, mathematicians, and, possibly, other scientists interested in the recent research on logic and computing.

Author : Walter Alexandre Carnielli
Publisher : American Mathematical Soc.
Page : 344 pages
File Size : 42,6 Mb
Release : 1999
Category : Computer logic
ISBN : 9780821813645

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Advances in Contemporary Logic and Computer Science by Walter Alexandre Carnielli Pdf

This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, São Paolo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mário Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians. Contributions were made from leading Brazilian logicians and their Latin-American and European colleagues. All papers were selected by a careful refereeing processs and were revised and updated by their authors for publication in this volume. There are three sections: Advances in Logic, Advances in Theoretical Computer Science, and Advances in Philosophical Logic. Well-known specialists present original research on several aspects of model theory, proof theory, algebraic logic, category theory, connections between logic and computer science, and topics of philosophical logic of current interest. Topics interweave proof-theoretical, semantical, foundational, and philosophical aspects with algorithmic and algebraic views, offering lively high-level research results.

Author : Randy H. Katz
Publisher : Prentice Hall
Page : 744 pages
File Size : 52,6 Mb
Release : 1994
Category : Computers
ISBN : UOM:39015029966663

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Contemporary Logic Design by Randy H. Katz Pdf

This text demonstrates state-of-the-art technologies for the design of modern logic circuits, including CAD tools, rapid prototyping and programmable logic devices. It provides practice in traditional techniques of logic design and includes examples of implementations from many CAD tools.

Author : Tbd
Publisher : Unknown
Page : 858 pages
File Size : 48,9 Mb
Release : 2021-10-06
Category : Electronic
ISBN : 1848903502

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Selected Topics from Contemporary Logics by Tbd Pdf

As used by professional logicians today, is the name of their chosen subject singular or plural, "logic" or "logics"? This is a special case of a more general question. For instance, an algebraist might write a book entitled "Algebra", which is about algebras. Though many mathematicians are not aware of it, logic today most decidedly has its plural aspect. Indeed, it always did. Classical logic, which mathematicians often tend to identify with the entirety of logic, was in place roughly by the beginning of the twentieth century. Since then a wide range of so-called non-classical logics have been developed. But indeed, before the creation of classical logic, there were multiple versions of logic, some of them more-or-less formalized. The current growing interest in medieval and ancient European and Asian logics has brought much of this back to modern awareness. Perhaps a later volume in this series will look at the history from a contemporary viewpoint. But that is not our task here. This is the second volume in a series called Landscapes in Logic. The intention of the series is to present reports illustrating the interplay between contemporary work in logic and mainstream mathematics. Of course this is both vague and overly ambitious, and must result in heterogeneous collections. The first volume in the series, Contemporary Logic and Computing, appeared in 2020. The contents divided plausibly into topics from contemporary logic, and from contemporary computing. The present volume is more diverse, and includes articles about both classical and non-classical logics, sometimes from the semantic side and sometimes from the proof-theoretic side. Some articles are primarily technical, often algebraic, while others are more philosophical in nature. Many fit into multiple categories. This multiplicity should not be seen as a defect. The papers here do not just explore logics house by house, but say something about their general neighborhoods as well.

Author : Randy H. Katz
Publisher : Unknown
Page : 303 pages
File Size : 43,8 Mb
Release : 1994
Category : Computer-aided design
ISBN : 0805327045

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Contemporary Logic Design by Randy H. Katz Pdf

Author : M. Morris Mano,Charles R. Kime
Publisher : Unknown
Page : 700 pages
File Size : 50,9 Mb
Release : 2013-07-23
Category : Electronic digital computers
ISBN : 1292024682

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Logic and Computer Design Fundamentals by M. Morris Mano,Charles R. Kime Pdf

Featuring a strong emphasis on the fundamentals underlying contemporary logic design using hardware description languages, synthesis, and verification, this book focuses on the ever-evolving applications of basic computer design concepts with strong connections to real-world technology. Treatment of logic design, digital system design, and computer design. Ideal for self-study by engineers and computer scientists.

Author : Eugenio G. Omodeo,Alberto Policriti
Publisher : Springer
Page : 438 pages
File Size : 45,6 Mb
Release : 2017-01-27
Category : Philosophy
ISBN : 9783319418421

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Martin Davis on Computability, Computational Logic, and Mathematical Foundations by Eugenio G. Omodeo,Alberto Policriti Pdf

This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.

Author : E. Agazzi
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400990562

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Modern Logic — A Survey by E. Agazzi Pdf

Logic has attained in our century a development incomparably greater than in any past age of its long history, and this has led to such an enrichment and proliferation of its aspects, that the problem of some kind of unified recom prehension of this discipline seems nowadays unavoidable. This splitting into several subdomains is the natural consequence of the fact that Logic has intended to adopt in our century the status of a science. This always implies that the general optics, under which a certain set of problems used to be con sidered, breaks into a lot of specialized sectors of inquiry, each of them being characterized by the introduction of specific viewpoints and of technical tools of its own. The first impression, that often accompanies the creation of one of such specialized branches in a diSCipline, is that one has succeeded in isolating the 'scientific core' of it, by restricting the somehow vague and redundant generality of its original 'philosophical' configuration. But, after a while, it appears that some of the discarded aspects are indeed important and a new specialized domain of investigation is created to explore them. By follOwing this procedure, one finally finds himself confronted with such a variety of independent fields of research, that one wonders whether the fact of labelling them under a common denomination be nothing but the contingent effect of a pure historical tradition.

Author : Peter G. Clote,Helmut Schwichtenberg
Publisher : Springer
Page : 550 pages
File Size : 54,9 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540446224

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Computer Science Logic by Peter G. Clote,Helmut Schwichtenberg Pdf

This book constitutes the refereed proceedings of the 13th International Workshop on Computer Science Logic, CSL 2000, held in Fischbachau, Germany as the 8th Annual Conference of the EACSL in August 2000. The 28 revised full papers presented together with eight invited papers were carefully reviewed and selected by the program committee. Among the topics covered are automated deduction, theorem proving, categorical logic, term rewriting, finite model theory, higher order logic, lambda and combinatory calculi, computational complexity, logic programing, constraints, linear logic, modal logic, temporal logic, model checking, formal specification, formal verification, program transformation, etc.

Author : Vlad P. Shmerko,Svetlana N. Yanushkevich,Sergey Edward Lyshevski
Publisher : CRC Press
Page : 780 pages
File Size : 44,7 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420066234

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Computer Arithmetics for Nanoelectronics by Vlad P. Shmerko,Svetlana N. Yanushkevich,Sergey Edward Lyshevski Pdf

Emphasizes the Basic Principles of Computational Arithmetic and Computational Structure Design Taking an interdisciplinary approach to the nanoscale generation of computer devices and systems, Computer Arithmetics for Nanoelectronics develops a consensus between computational properties provided by data structures and phenomenological properties of nano and molecular technology. Covers All Stages of the Design Cycle, from Task Formulation to Molecular-Based Implementation The book introduces the theoretical base and properties of various data structures, along with techniques for their manipulation, optimization, and implementation. It also assigns the computational properties of logic design data structures to 3D structures, furnishes information-theoretical measures and design aspects, and discusses the testability problem. The last chapter presents a nanoscale prospect for natural computing based on assorted computing paradigms from nature. Balanced Coverage of State-of-the-Art Concepts, Techniques, and Practices Up-to-date, comprehensive, and pragmatic in its approach, this text provides a unified overview of the relationship between the fundamentals of digital system design, computer architectures, and micro- and nanoelectronics.

Author : Leila Haaparanta
Publisher : OUP USA
Page : 1005 pages
File Size : 45,8 Mb
Release : 2009-06-18
Category : Mathematics
ISBN : 9780195137316

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The Development of Modern Logic by Leila Haaparanta Pdf

This volume contains newly-commissioned articles covering the development of modern logic from the late medieval period (fourteenth century) through the end of the twentieth-century. It is the first volume to discuss the field with this breadth of coverage and depth. It will appeal to scholars and students of philosophical logic and the philosophy of logic.

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461201151

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Handbook of Logic and Proof Techniques for Computer Science by Steven G. Krantz Pdf

Logic is, and should be, the core subject area of modern mathemat ics. The blueprint for twentieth century mathematical thought, thanks to Hilbert and Bourbaki, is the axiomatic development of the subject. As a result, logic plays a central conceptual role. At the same time, mathematical logic has grown into one of the most recondite areas of mathematics. Most of modern logic is inaccessible to all but the special ist. Yet there is a need for many mathematical scientists-not just those engaged in mathematical research-to become conversant with the key ideas of logic. The Handbook of Mathematical Logic, edited by Jon Bar wise, is in point of fact a handbook written by logicians for other mathe maticians. It was, at the time of its writing, encyclopedic, authoritative, and up-to-the-moment. But it was, and remains, a comprehensive and authoritative book for the cognoscenti. The encyclopedic Handbook of Logic in Computer Science by Abramsky, Gabbay, and Maibaum is a wonderful resource for the professional. But it is overwhelming for the casual user. There is need for a book that introduces important logic terminology and concepts to the working mathematical scientist who has only a passing acquaintance with logic. Thus the present work has a different target audience. The intent of this handbook is to present the elements of modern logic, including many current topics, to the reader having only basic mathe matical literacy.

Author : Karen Katz,Randy H. Katz
Publisher : Prentice Hall
Page : 0 pages
File Size : 45,8 Mb
Release : 1998-12
Category : Electronic
ISBN : 0201613409

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Contemporary Logic Design and Computer Logicwork Win and Mac by Karen Katz,Randy H. Katz Pdf

Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Page : 780 pages
File Size : 53,6 Mb
Release : 2004-03-08
Category : Mathematics
ISBN : 9780080532875

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The Rise of Modern Logic: from Leibniz to Frege by Dov M. Gabbay,John Woods Pdf

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

Author : Dov M. Gabbay,Sergei S. Goncharov,Michael Zakharyaschev
Publisher : Springer
Page : 0 pages
File Size : 49,5 Mb
Release : 2010-11-25
Category : Mathematics
ISBN : 1441921109

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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.