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Logical Analysis of Hybrid Systems

Proving Theorems for Complex Dynamics

Authors: Platzer, Andre

  • A unique approach to hybrid systems verification
  • The first book that leverages the power of logic for hybrid systems
  • Intended for researchers, postgraduates, and professionals book
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eBook $139.00
price for USA
  • ISBN 978-3-642-14509-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-14508-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-642-44474-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.

About the authors

The author is an assistant professor in the Computer Science Department at Carnegie Mellon University. He has an M.Sc. in computer science from the University of Karlsruhe, Germany and a Ph.D. in computer science from the University of Oldenburg, Germany. Among other awards he won best paper awards at the Tableaux 2007 and FM 2009 conferences, he was among Popular Science Magazine's annual "Brilliant 10" in 2009, he received the ACM Doctoral Dissertation Honorable Mention Award in 2009, he was among the IEEE Intelligent Systems' biennial "AI's 10 to Watch" in 2011, and he received an NSF Career award in 2011. His research interests include the logical foundations of cyberphysical systems, theorem proving and model checking.

 

Reviews

"This book offers a truly unique approach to hybrid systems verification with logic and theorem proving." (Edmund M. Clarke, Carnegie Mellon University)

Table of contents (9 chapters)

  • Introduction

    Platzer, André

    Pages 1-29

  • Differential Dynamic Logic dℒ

    Platzer, André

    Pages 33-122

  • Differential-Algebraic Dynamic Logic DAL

    Platzer, André

    Pages 123-202

  • Differential Temporal Dynamic Logic dTL

    Platzer, André

    Pages 203-230

  • Deduction Modulo Real Algebra and Computer Algebra

    Platzer, André

    Pages 233-252

Buy this book

eBook $139.00
price for USA
  • ISBN 978-3-642-14509-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-14508-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-642-44474-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Logical Analysis of Hybrid Systems
Book Subtitle
Proving Theorems for Complex Dynamics
Authors
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-14509-4
DOI
10.1007/978-3-642-14509-4
Hardcover ISBN
978-3-642-14508-7
Softcover ISBN
978-3-642-44474-6
Edition Number
1
Number of Pages
XXX, 426
Topics