Temporal Logic
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Temporal Logic And State Systems
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Author : Fred Kröger
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-27
Temporal Logic And State Systems written by Fred Kröger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-27 with Computers categories.
Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.
The Temporal Logic Of Reactive And Concurrent Systems
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Author : Zohar Manna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Temporal Logic Of Reactive And Concurrent Systems written by Zohar Manna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Reactive systems are computing systems which are interactive, such as real-time systems, operating systems, concurrent systems, control systems, etc. They are among the most difficult computing systems to program. Temporal logic is a formal tool/language which yields excellent results in specifying reactive systems. This volume, the first of two, subtitled Specification, has a self-contained introduction to temporal logic and, more important, an introduction to the computational model for reactive programs, developed by Zohar Manna and Amir Pnueli of Stanford University and the Weizmann Institute of Science, Israel, respectively.
Temporal Logics In Computer Science
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Author : Stéphane Demri
language : en
Publisher: Cambridge University Press
Release Date : 2016-10-13
Temporal Logics In Computer Science written by Stéphane Demri and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-13 with Computers categories.
A comprehensive, modern and technically precise exposition of the theory and main applications of temporal logics in computer science.
The Logic Of Time
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Author : Johan van Benthem
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Logic Of Time written by Johan van Benthem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
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.
Advances In Temporal Logic
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Author : Howard Barringer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Advances In Temporal Logic written by Howard Barringer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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.
An Introduction To Practical Formal Methods Using Temporal Logic
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Author : Michael Fisher
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-16
An Introduction To Practical Formal Methods Using Temporal Logic written by Michael Fisher and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-16 with Technology & Engineering categories.
The name "temporal logic" may sound complex and daunting; but while they describe potentially complex scenarios, temporal logics are often based on a few simple, and fundamental, concepts - highlighted in this book. An Introduction to Practical Formal Methods Using Temporal Logic provides an introduction to formal methods based on temporal logic, for developing and testing complex computational systems. These methods are supported by many well-developed tools, techniques and results that can be applied to a wide range of systems. Fisher begins with a full introduction to the subject, covering the basics of temporal logic and using a variety of examples, exercises and pointers to more advanced work to help clarify and illustrate the topics discussed. He goes on to describe how this logic can be used to specify a variety of computational systems, looking at issues of linking specifications, concurrency, communication and composition ability. He then analyses temporal specification techniques such as deductive verification, algorithmic verification, and direct execution to develop and verify computational systems. The final chapter on case studies analyses the potential problems that can occur in a range of engineering applications in the areas of robotics, railway signalling, hardware design, ubiquitous computing, intelligent agents, and information security, and explains how temporal logic can improve their accuracy and reliability. Models temporal notions and uses them to analyze computational systems Provides a broad approach to temporal logic across many formal methods - including specification, verification and implementation Introduces and explains freely available tools based on temporal logics and shows how these can be applied Presents exercises and pointers to further study in each chapter, as well as an accompanying website providing links to additional systems based upon temporal logic as well as additional material related to the book.
Temporal Logics
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Author : Valentin Goranko
language : en
Publisher: Cambridge University Press
Release Date : 2023-10-05
Temporal Logics written by Valentin Goranko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-05 with Philosophy categories.
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. These systems differ by the ontological assumptions made about the nature of time in the associated models, by the logical languages involving various operators for composing temporalized expressions, and by the formal logical semantics adopted for capturing the precise intended meaning of these temporal operators. Temporal logics have found a wide range of applications as formal frameworks for temporal knowledge representation and reasoning in artificial intelligence, and as tools for formal specification, analysis, and verification of properties of computer programs and systems. This Element aims at providing both a panoramic view on the landscape of the variety of temporal logics and closer looks at some of their most interesting and important landmarks.
Temporal Type Theory
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Author : Patrick Schultz
language : en
Publisher: Springer
Release Date : 2019-01-29
Temporal Type Theory written by Patrick Schultz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-29 with Mathematics categories.
This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action. Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource. It can also serve as a supplemental text for a specialized graduate topics course.
Temporal Logic And State Systems
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Author : Fred Kröger
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12
Temporal Logic And State Systems written by Fred Kröger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-12 with Computers categories.
Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.
Algebraic Quasi Fractal Logic Of Smart Systems
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Author : Natalia Serdyukova
language : en
Publisher: Springer Nature
Release Date : 2024-09-27
Algebraic Quasi Fractal Logic Of Smart Systems written by Natalia Serdyukova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-27 with Computers categories.
This book is a continuation of the Algebraic Formalization of Smart Systems. Theory and Practice, 2018, and Algebraic Identification of Smart Systems. Theory and Practice, 2021. Algebraic logic refers to the connection between Boolean algebra and classical propositional calculus. This connection was discovered by George Boole and then developed by other mathematicians, such as C. S. Peirce and Ernst Schroeder. This trend culminated in the Lindenbaum-Tarski algebras. Here we try to connect algebraic logic and quasi-fractal technique, based on algebraic formalization of smart systems to get facts about smart systems functioning and connections of their qualitative and quantitative indicators. Basic techniques we used: algebraic quasi-fractal systems, Erdős–Rényi algorithm, a notion of –giant component of an algebraic system, fixed point theorem, purities, i.e., embeddings preserving -property of an algebraic system. The book is aimed for all interested in these issues.