Logical Foundations of Cyber-Physical Systems

Logical Foundations of Cyber-Physical Systems

by Andrï Platzer

Hardcover(1st ed. 2018)

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Product Details

ISBN-13: 9783319635873
Publisher: Springer International Publishing
Publication date: 07/30/2018
Edition description: 1st ed. 2018
Pages: 639
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

André Platzer is an Associate Professor in the Computer Science Department at Carnegie Mellon University. He develops the logical foundations of cyberphysical systems to characterize their fundamental principles and to determine how we can trust computers to control physical processes. He has a Ph.D. from the University of Oldenburg, Germany. He received an ACM Doctoral Dissertation Honorable Mention and NSF Career Award, and he was named one of the Brilliant 10 Young Scientists by the Popular Science magazine and one of AI's 10 to Watch by the IEEE Intelligent Systems Magazine.

Table of Contents

Cyberphysical Systems: Introduction.- Differential Equations and Domains.- Choice and Control.- Safety and Contracts.- Dynamical Systems and Dynamic Axioms.- Truth and Proof.- Control Loops and Invariants.- Events and Responses.- Reactions and Delays.- Differential Equations and Differential Invariants.- Differential Equations and Proofs.- Ghosts and Differential Ghosts.- Logical Foundations and CPS.- Differential Invariants and Proof Theory.- Verified Models and Verified Runtime Validation.- Hybrid Systems and Games.- Winning Strategies and Regions.- Winning and Proving Hybrid Games.- Game Proofs and Separations.- Virtual Substitution and Real Equations.- Virtual Substitution and Real Arithmetic.- Axioms and Uniform Substitutions.- Differential Axioms and Uniform Substitutions.- Model Checking and Reachability Analysis.- Distributed Systems and Hybrid Systems.

What People are Saying About This

From the Publisher

“This excellent textbook marries design and analysis of cyber-physical systems with a logical and computational way of thinking. The presentation is exemplary for finding the right balance between rigorous mathematical formalization and illustrative case studies rooted in practical problems in system design.” (Rajeev Alur, Zisman Family Professor of Computer and Information Science, University of Pennsylvania)

“[The author] has developed major important tools for the design and control of those cyber-physical sys¬tems that increasingly shape our lives. This book is a ‘must’ for computer scientists, engineers, and mathe¬maticians designing cyber-physical systems." (Anil Nerode, Goldwin Smith Professor of Mathematics, Cornell University)

“This book provides a wonderful introduction to cyber-physical systems, covering fundamental concepts from computer science and control theory from the perspective of formal logic. The theory is brought to life through many didactic examples, illustrations, and exercises. A wealth of background material is provided in the text and in an appendix for each chapter, which makes the book self-contained and accessible to univer¬sity students of all levels." (Goran Frehse, Université Grenoble Alpes)

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