Temporal Logic From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing

Author : Klaus Mainzer
Publisher : World Scientific
ISBN 13 : 981126855X
Total Pages : 221 pages
Book Rating : 4.57/5 ( download)

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Download or read book Temporal Logic: From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing written by Klaus Mainzer and published by World Scientific. This book was released on 2023-05-12 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculi of temporal logic are widely used in modern computer science. The temporal organization of information flows in the different architectures of laptops, the Internet, or supercomputers would not be possible without appropriate temporal calculi. In the age of digitalization and High-Tech applications, people are often not aware that temporal logic is deeply rooted in the philosophy of modalities. A deep understanding of these roots opens avenues to the modern calculi of temporal logic which have emerged by extension of modal logic with temporal operators. Computationally, temporal operators can be introduced in different formalisms with increasing complexity such as Basic Modal Logic (BML), Linear-Time Temporal Logic (LTL), Computation Tree Logic (CTL), and Full Computation Tree Logic (CTL*). Proof-theoretically, these formalisms of temporal logic can be interpreted by the sequent calculus of Gentzen, the tableau-based calculus, automata-based calculus, game-based calculus, and dialogue-based calculus with different advantages for different purposes, especially in computer science.The book culminates in an outlook on trendsetting applications of temporal logics in future technologies such as artificial intelligence and quantum technology. However, it will not be sufficient, as in traditional temporal logic, to start from the everyday understanding of time. Since the 20th century, physics has fundamentally changed the modern understanding of time, which now also determines technology. In temporal logic, we are only just beginning to grasp these differences in proof theory which needs interdisciplinary cooperation of proof theory, computer science, physics, technology, and philosophy.

Author : Peter Øhrstrøm
Publisher : Springer Science & Business Media
ISBN 13 : 0585374635
Total Pages : 425 pages
Book Rating : 4.35/5 ( download)

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Download or read book Temporal Logic written by Peter Øhrstrøm and published by Springer Science & Business Media. This book was released on 2007-08-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Temporal Logic: From Ancient Ideas to Artificial Intelligence deals with the history of temporal logic as well as the crucial systematic questions within the field. The book studies the rich contributions from ancient and medieval philosophy up to the downfall of temporal logic in the Renaissance. The modern rediscovery of the subject, which is especially due to the work of A. N. Prior, is described, leading into a thorough discussion of the use of temporal logic in computer science and the understanding of natural language. Temporal Logic: From Ancient Ideas to Artificial Intelligence thus interweaves linguistic, philosophical and computational aspects into an informative and inspiring whole.

Author : Howard Barringer
Publisher : Springer Science & Business Media
ISBN 13 : 9401595860
Total Pages : 454 pages
Book Rating : 4.65/5 ( download)

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Download or read book Advances in Temporal Logic written by Howard Barringer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time is a fascinating subject and has long since captured mankind's imagination, from the ancients to modern man, both adult and child alike. It has been studied across a wide range of disciplines, from the natural sciences to philosophy and logic. Today, thirty plus years since Prior's work in laying out foundations for temporal logic, and two decades on from Pnueli's seminal work applying of temporal logic in specification and verification of computer programs, temporal logic has a strong and thriving international research community within the broad disciplines of computer science and artificial intelligence. Areas of activity include, but are certainly not restricted to: Pure Temporal Logic, e. g. temporal systems, proof theory, model theory, expressiveness and complexity issues, algebraic properties, application of game theory; Specification and Verification, e. g. of reactive systems, ofreal-time components, of user interaction, of hardware systems, techniques and tools for verification, execution and prototyping methods; Temporal Databases, e. g. temporal representation, temporal query ing, granularity of time, update mechanisms, active temporal data bases, hypothetical reasoning; Temporal Aspects in AI, e. g. modelling temporal phenomena, in terval temporal calculi, temporal nonmonotonicity, interaction of temporal reasoning with action/knowledge/belief logics, temporal planning; Tense and Aspect in Natural Language, e. g. models, ontologies, temporal quantifiers, connectives, prepositions, processing tempo ral statements; Temporal Theorem Proving, e. g. translation methods, clausal and non-clausal resolution, tableaux, automata-theoretic approaches, tools and practical systems.

Author : Johan van Benthem
Publisher : Springer Science & Business Media
ISBN 13 : 9401579474
Total Pages : 308 pages
Book Rating : 4.76/5 ( download)

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Download or read book The Logic of Time written by Johan van Benthem and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Time has a wide intellectual appeal across different dis ciplines. This has shown in the variety of reactions received from readers of the first edition of the present Book. Many have reacted to issues raised in its philosophical discussions, while some have even solved a number of the open technical questions raised in the logical elaboration of the latter. These results will be recorded below, at a more convenient place. In the seven years after the first publication, there have been some noticeable newer developments in the logical study of Time and temporal expressions. As far as Temporal Logic proper is concerned, it seems fair to say that these amount to an increase in coverage and sophistication, rather than further break-through innovation. In fact, perhaps the most significant sources of new activity have been the applied areas of Linguistics and Computer Science (including Artificial Intelligence), where many intriguing new ideas have appeared presenting further challenges to temporal logic. Now, since this Book has a rather tight composition, it would have been difficult to interpolate this new material without endangering intelligibility.

Author : Klaus Mainzer
Publisher : Springer Nature
ISBN 13 : 3662682907
Total Pages : 167 pages
Book Rating : 4.06/5 ( download)

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Download or read book Limits of AI—Theoretical, Practical, Ethical written by Klaus Mainzer and published by Springer Nature. This book was released on with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Leonard Bolc
Publisher : Routledge
ISBN 13 : 1000497437
Total Pages : 332 pages
Book Rating : 4.34/5 ( download)

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Download or read book Time & Logic written by Leonard Bolc and published by Routledge. This book was released on 2019-10-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.

Author : Beishui Liao
Publisher : Springer Nature
ISBN 13 : 9811571341
Total Pages : 167 pages
Book Rating : 4.43/5 ( download)

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Download or read book Context, Conflict and Reasoning written by Beishui Liao and published by Springer Nature. This book was released on 2020-08-20 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This volume brings together a group of philosophically oriented logicians and logic-minded philosophers, mainly from Asia, to address a variety of logical and philosophical topics, such as modal logic and related directions (e.g. temporal logic, epistemic logic, deontic logic, logic of conditionals, and modal proof theory), theory of truth, paradoxes, intentionality, and social networks. New approaches are also proposed, such as extended modal logic with planarity of graphs, extended branching time temporal logic with conditional operators, and a relational treatment of language and logical systems, to name but a few.Given the variety of topics and issues discussed here, the book will appeal to readers from a broad range of disciplines, from mathematical/philosophical logic, computing science, cognitive science and artificial intelligence, to linguistics, game theory and beyond.

Author : Peter Ohrstrom
Publisher :
ISBN 13 : 9789401737753
Total Pages : 428 pages
Book Rating : 4.54/5 ( download)

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Download or read book Temporal Logic written by Peter Ohrstrom and published by . This book was released on 2014-01-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Antony Galton
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.94/5 ( download)

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Download or read book Temporal Logics and Their Applications written by Antony Galton and published by . This book was released on 1987 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: FROM THE PREFACE: This book has risen from a conference on Temporal Logic and Its Applications held at the University of Leeds in January 1986, under the auspices of the then newly-created Centre for Theoretical Computer Science. Temporal logic is a field which, having originated within philosophy, has now proved to be of relevance to several distinct areas in computer science. In this publication, all of the aspects of temporal logic are treated together, hopefully providing a stimulus to further inter-disciplinary collaboration, not only as regards temporal logic itself but also in connection with other logical and philosophical issues, which lie at the interface between computing and philosophy.

Author : Leonard Bolc
Publisher : CRC Press
ISBN 13 : 9781857282337
Total Pages : 325 pages
Book Rating : 4.37/5 ( download)

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Download or read book Time And Logic written by Leonard Bolc and published by CRC Press. This book was released on 1995-02-23 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time and logic are central driving concepts in science and technology. In this book, some of the major current developments in our understanding and application of temporal logic are presented in computational terms. "Time and Logic: A Computational Approach" should be a useful sourcebook for those within the specific field of temporal logic, as well as providing valuable introductory material for those seeking an entry into this increasingly important area of theoretical computing.; The emphasis of the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalize beyond temporal logic alone, and it is hoped that adaptation to many different logics of programmes will be facilitated. Throughout, the authors have kept implementation-oriented solutions in mind.; The book begins with an introduction to the basic ideas of temporal logic. Successive chapters then examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This should be a useful addition to the library of all theoretical computer scientists, providing a synthesis of well established results in temporal logic with the most up-to-date findings of some of the world's leading theoreticians.