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Temporal Logics in Computer Science

Temporal Logics in Computer Science
Author: Stéphane Demri
Publisher: Cambridge University Press
Total Pages: 753
Release: 2016-10-13
Genre: Computers
ISBN: 1107028361

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A comprehensive, modern and technically precise exposition of the theory and main applications of temporal logics in computer science.


Temporal Logic and State Systems

Temporal Logic and State Systems
Author: Fred Kröger
Publisher: Springer Science & Business Media
Total Pages: 440
Release: 2008-03-27
Genre: Computers
ISBN: 3540674012

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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.


Temporal Logics and Their Applications

Temporal Logics and Their Applications
Author: Antony Galton
Publisher:
Total Pages: 264
Release: 1987
Genre: Computers
ISBN:

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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.


An Introduction to Practical Formal Methods Using Temporal Logic

An Introduction to Practical Formal Methods Using Temporal Logic
Author: Michael Fisher
Publisher: John Wiley & Sons
Total Pages: 368
Release: 2011-03-16
Genre: Technology & Engineering
ISBN: 9781119991465

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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 Logic of Programs

Temporal Logic of Programs
Author: Fred Kröger
Publisher: Springer Science & Business Media
Total Pages: 150
Release: 2012-12-06
Genre: Computers
ISBN: 3642715494

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Introduction to the temporal logic of - in particular paral- lel - programs.Divided into three main parts: - Presenta- tion of the pure temporal logic: language, semantics, and proof theory; - Representation of programs and their proper- ties within the language of temporal logic; - Application of the logical apparatus to the verification of program proper- ties including a new embedding of Hoare's logic into the temporal framework.


Mathematical Logic for Computer Science

Mathematical Logic for Computer Science
Author: Mordechai Ben-Ari
Publisher: Springer Science & Business Media
Total Pages: 311
Release: 2012-12-06
Genre: Computers
ISBN: 1447103351

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This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.


The Temporal Logic of Reactive and Concurrent Systems

The Temporal Logic of Reactive and Concurrent Systems
Author: Zohar Manna
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2012-12-06
Genre: Computers
ISBN: 1461209315

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

Temporal Logic: From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing
Author: Klaus Mainzer
Publisher: World Scientific
Total Pages: 221
Release: 2023-05-12
Genre: Mathematics
ISBN: 981126855X

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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.


Logics in Computer Science

Logics in Computer Science
Author: Fabio Mogavero
Publisher: Springer Science & Business Media
Total Pages: 165
Release: 2013-07-30
Genre: Computers
ISBN: 9491216953

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In this monograph we introduce and examine four new temporal logic formalisms that can be used as specification languages for the automated verification of the reliability of hardware and software designs with respect to a desired behavior. The work is organized in two parts. In the first part two logics for computations, the graded computation tree logic and the computation tree logic with minimal model quantifiers are discussed. These have proved to be useful in describing correct executions of monolithic closed systems. The second part focuses on logics for strategies, strategy logic and memoryful alternating-time temporal logic, which have been successfully applied to formalize several properties of interactive plays in multi-entities systems modeled as multi-agent games.


Logics for Computer and Data Sciences, and Artificial Intelligence

Logics for Computer and Data Sciences, and Artificial Intelligence
Author: Lech T. Polkowski
Publisher: Springer
Total Pages: 0
Release: 2022-12-19
Genre: Technology & Engineering
ISBN: 9783030916824

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This volume offers the reader a systematic and throughout account of branches of logic instrumental for computer science, data science and artificial intelligence. Addressed in it are propositional, predicate, modal, epistemic, dynamic, temporal logics as well as applicable in data science many-valued logics and logics of concepts (rough logics). It offers a look into second-order logics and approximate logics of parts. The book concludes with appendices on set theory, algebraic structures, computability, complexity, MV-algebras and transition systems, automata and formal grammars. By this composition of the text, the reader obtains a self-contained exposition that can serve as the textbook on logics and relevant disciplines as well as a reference text.