Logical Foundations of Cyber-Physical Systems

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.

• 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.