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

Author : Klaus Mainzer,Stefania Centrone
Publisher : World Scientific
Page : 221 pages
File Size : 42,9 Mb
Release : 2023-05-12
Category : Mathematics
ISBN : 9789811268557

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Temporal Logic: From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing by Klaus Mainzer,Stefania Centrone Pdf

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,Per Hasle
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 50,8 Mb
Release : 2007-08-27
Category : Philosophy
ISBN : 9780585374635

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Temporal Logic by Peter Øhrstrøm,Per Hasle Pdf

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,Michael Fisher,Dov M. Gabbay,Graham Gough
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 40,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9789401595865

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Advances in Temporal Logic by Howard Barringer,Michael Fisher,Dov M. Gabbay,Graham Gough Pdf

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 : Klaus Mainzer
Publisher : Springer Nature
Page : 167 pages
File Size : 50,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783662682906

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Limits of AI—Theoretical, Practical, Ethical by Klaus Mainzer Pdf

Author : Johan van Benthem
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 43,6 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401579476

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The Logic of Time by Johan van Benthem Pdf

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 : Beishui Liao,Yì N. Wáng
Publisher : Springer Nature
Page : 167 pages
File Size : 45,5 Mb
Release : 2020-08-20
Category : Philosophy
ISBN : 9789811571343

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Context, Conflict and Reasoning by Beishui Liao,Yì N. Wáng Pdf

​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 : Leonard Bolc,Andrzej Szałas
Publisher : Routledge
Page : 332 pages
File Size : 52,5 Mb
Release : 2019-10-24
Category : Philosophy
ISBN : 9781000497434

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Time & Logic by Leonard Bolc,Andrzej Szałas Pdf

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 : Antony Galton
Publisher : Unknown
Page : 264 pages
File Size : 51,7 Mb
Release : 1987
Category : Computers
ISBN : UOM:39015012767094

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Temporal Logics and Their Applications by Antony Galton Pdf

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
Page : 325 pages
File Size : 49,6 Mb
Release : 1995-02-23
Category : Mathematics
ISBN : 1857282337

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Time And Logic by Leonard Bolc Pdf

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.

Author : Valentin Goranko
Publisher : Cambridge University Press
Page : 131 pages
File Size : 49,8 Mb
Release : 2023-09-30
Category : Philosophy
ISBN : 9781009184786

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Temporal Logics by Valentin Goranko Pdf

Temporal Logics are a rich variety of logical systems designed for formalising reasoning about time, and about events and changes in the world over time. This Element aims at providing both a panoramic view and closer looks at temporal logics.

Author : Peter Ohrstrom,Per Hasle
Publisher : Unknown
Page : 428 pages
File Size : 42,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401737754

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Temporal Logic by Peter Ohrstrom,Per Hasle Pdf

Author : Heinrich Wansing
Publisher : World Scientific
Page : 275 pages
File Size : 41,6 Mb
Release : 2001
Category : Philosophy
ISBN : 9789812799746

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Essays on Non-classical Logic by Heinrich Wansing Pdf

This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and infinite Turing machines. The book identifies a number of important current trends in contemporary non-classical logic. Among them are dialogical and substructural logic, the classification of concepts of negation, truthmaker theory, and mathematical and foundational aspects of modal and temporal logic. Contents: Fine-Grained Theories of Time (P Blackburn); Revision Sequences and Computers with an Infinite Amount of Time (B LAwe); On Frege's Nightmare: A Combination of Intuitionistic, Free and Paraconsistent Logics (S Rahman); Truthmakers, Entailment and Necessity (S Read); Global Definability in Basic Modal Logic (M de Rijke & H Sturm); Ackermann's Implication for Typefree Logic (K Robering); Why Dialogical Logic? (H Rckert); Semantics for Constructive Negations (Y Shramko); Recent Trends in Paraconsistent Logic (M Urchs); Obligations, Authorities, and History Dependence (H Wansing). Readership: Graduate students and researchers in philosophical logic and mathematical logic, as well as computer scientists in artificial intelligence."

Author : Dov M. Gabbay,Hans J. Ohlbach
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 46,7 Mb
Release : 1994-06-29
Category : Computers
ISBN : 354058241X

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Temporal Logic by Dov M. Gabbay,Hans J. Ohlbach Pdf

This volume constitutes the proceedings of the First International Conference on Temporal Logic (ICTL '94), held at Bonn, Germany in July 1994. Since its conception as a discipline thirty years ago, temporal logic is studied by many researchers of numerous backgrounds; presently it is in a stage of accelerated dynamic growth. This book, as the proceedings of the first international conference particularly dedicated to temporal logic, gives a thorough state-of-the-art report on all aspects of temporal logic research relevant for computer science and AI. It contains 27 technical contributions carefully selected for presentation at ICTL '94 as well as three surveys and position papers.

Author : Nicholas Rescher,Alasdair Urquhart
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783709176641

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Temporal Logic by Nicholas Rescher,Alasdair Urquhart Pdf

This book is an introduction to temporal logic, a now flourishing branch of philosophical logic whose origin is of recent date, its main impetus having been provided by the publication in the late 1950s of A. N. PRIOR'S pioneering book, Time and Modality (Oxford, The Clarendon Press, 1957). Virtually all work in the field to around 1966 is surveyed in PRIOR'S elegant treatise Past, Present and Future (Oxford, The Clarendon Press, 1967). In consequence, it is no simple matter to write a comprehensive book on the subject with out merely rehearsing material already dealt with in PRIOR'S works. We believe, however, that the present book succeeds in this difficult endeavor because it approaches established materials from wholly novel points of departure, and is thus able to attain new perspectives and achieve new results. Its introductory character notwithstanding, the present work is consequently in substantial measure devoted to an exposition of new findings and a demonstration of new results. Parts of the book have been published previously. Chapter II is a modified version of an article of the same title by N. RESCHER and JAMES GARSON in The Journal of Symbolic Logic (vol. 33 [1968], pp.537-548). And Chapter XIII is a modified version of the article "Temporally Conditioned Descriptions" by N. RESCHER and JOHN ROBISON in Ratio, vol. 8 (1966), pp. 46-54. The authors are grateful to Professors GARSON and ROBISON, and to the editors of the jounal involved, for their permission to use this materials here.

Author : Michael David Fisher,Dov M. Gabbay,Lluis Vila
Publisher : Elsevier
Page : 753 pages
File Size : 51,9 Mb
Release : 2005-03-01
Category : Computers
ISBN : 9780080533360

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Handbook of Temporal Reasoning in Artificial Intelligence by Michael David Fisher,Dov M. Gabbay,Lluis Vila Pdf

This collection represents the primary reference work for researchers and students in the area of Temporal Reasoning in Artificial Intelligence. Temporal reasoning has a vital role to play in many areas, particularly Artificial Intelligence. Yet, until now, there has been no single volume collecting together the breadth of work in this area. This collection brings together the leading researchers in a range of relevant areas and provides an coherent description of the breadth of activity concerning temporal reasoning in the filed of Artificial Intelligence. Key Features: - Broad range: foundations; techniques and applications - Leading researchers around the world have written the chapters - Covers many vital applications - Source book for Artificial Intelligence, temporal reasoning - Approaches provide foundation for many future software systems · Broad range: foundations; techniques and applications · Leading researchers around the world have written the chapters · Covers many vital applications · Source book for Artificial Intelligence, temporal reasoning · Approaches provide foundation for many future software systems