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Logical Analysis of Hybrid Systems [electronic resource] : Proving Theorems for Complex Dynamics / by André Platzer.

By: Platzer, André [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: XXX, 426p. 137 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642145094.Subject(s): Computer science | Logic design | Artificial intelligence | Computer Science | Mathematical Logic and Formal Languages | Artificial Intelligence (incl. Robotics) | Mathematics of Computing | Logics and Meanings of Programs | Control, Robotics, MechatronicsDDC classification: 005.131 Online resources: Click here to access online
Contents:
Logics and Proof Calculi for Hybrid Systems -- Differential Dynamic Logic d? -- Differential-Algebraic Dynamic Logic DAL -- Differential Temporal Dynamic Logic dTL -- Automated Theorem Proving for Hybrid Systems -- Deduction Modulo Real Algebra and Computer Algebra -- Computing Differential Invariants as Fixed Points -- Case Studies and Applications in Hybrid Systems Verification -- European Train Control System -- Air Traffic Collision Avoidance -- Conclusion.
In: Springer eBooksSummary: 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.
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Logics and Proof Calculi for Hybrid Systems -- Differential Dynamic Logic d? -- Differential-Algebraic Dynamic Logic DAL -- Differential Temporal Dynamic Logic dTL -- Automated Theorem Proving for Hybrid Systems -- Deduction Modulo Real Algebra and Computer Algebra -- Computing Differential Invariants as Fixed Points -- Case Studies and Applications in Hybrid Systems Verification -- European Train Control System -- Air Traffic Collision Avoidance -- Conclusion.

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.

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