The formal semantics of programming languages: an introduction
The formal semantics of programming languages: an introduction
The algorithmic analysis of hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
Operational Semantics for Timed Systems: A Non-standard Approach to Uniform Modeling of Timed and Hybrid Systems (Lecture Notes in Computer Science)
Differential Dynamic Logic for Hybrid Systems
Journal of Automated Reasoning
KeYmaera: A Hybrid Theorem Prover for Hybrid Systems (System Description)
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Modelling of Complex Systems: Systems as Dataflow Machines
Fundamenta Informaticae - Machines, Computations and Universality, Part II
Differential-algebraic Dynamic Logic for Differential-algebraic Programs
Journal of Logic and Computation
Exercises in nonstandard static analysis of hybrid systems
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
Hyperstream processing systems: nonstandard modeling of continuous-time signals
POPL '13 Proceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
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We add, to the common combination of a WHILE-language and a Hoare-style program logic, a constant dt that represents an infinitesimal (i.e. infinitely small) value. The outcome is a framework for modeling and verification of hybrid systems: hybrid systems exhibit both continuous and discrete dynamics and getting them right is a pressing challenge.We rigorously define the semantics of programs in the language of nonstandard analysis, on the basis of which the program logic is shown to be sound and relatively complete.