Journal of the ACM (JACM)
An arithmetical hierarchy in propositional dynamic logic
Information and Computation
The algorithmic analysis of hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
ACM Transactions on Programming Languages and Systems (TOPLAS)
First-Order Dynamic Logic
Dynamic Logic
Proving System Correctness with KIV 3.0
CADE-14 Proceedings of the 14th International Conference on Automated Deduction
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
Computability and completeness in logics of programs (Preliminary Report)
STOC '77 Proceedings of the ninth annual ACM symposium on Theory of computing
Matching Explicit and Modal Reasoning about Programs: A Proof Theoretic Delineation of Dynamic Logic
LICS '06 Proceedings of the 21st Annual IEEE Symposium on Logic in Computer Science
Semantical consideration on floyo-hoare logic
SFCS '76 Proceedings of the 17th Annual Symposium on Foundations of Computer Science
Differential Dynamic Logic for Hybrid Systems
Journal of Automated Reasoning
Differential Dynamic Logic for Verifying Parametric Hybrid Systems
TABLEAUX '07 Proceedings of the 16th international conference on Automated Reasoning with Analytic Tableaux and Related Methods
Computing Differential Invariants of Hybrid Systems as Fixedpoints
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
KeYmaera: A Hybrid Theorem Prover for Hybrid Systems (System Description)
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Computing differential invariants of hybrid systems as fixedpoints
Formal Methods in System Design
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Formal Verification of Curved Flight Collision Avoidance Maneuvers: A Case Study
FM '09 Proceedings of the 2nd World Congress on Formal Methods
European Train Control System: A Case Study in Formal Verification
ICFEM '09 Proceedings of the 11th International Conference on Formal Engineering Methods: Formal Methods and Software Engineering
Differential-algebraic Dynamic Logic for Differential-algebraic Programs
Journal of Logic and Computation
Verification of object-oriented software: The KeY approach
Verification of object-oriented software: The KeY approach
Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics
Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics
Quantified differential dynamic logic for distributed hybrid systems
CSL'10/EACSL'10 Proceedings of the 24th international conference/19th annual conference on Computer science logic
Adaptive cruise control: hybrid, distributed, and now formally verified
FM'11 Proceedings of the 17th international conference on Formal methods
Stochastic differential dynamic logic for stochastic hybrid programs
CADE'11 Proceedings of the 23rd international conference on Automated deduction
Differential dynamic logics: automated theorem proving for hybrid systems
Differential dynamic logics: automated theorem proving for hybrid systems
Distributed theorem proving for distributed hybrid systems
ICFEM'11 Proceedings of the 13th international conference on Formal methods and software engineering
Towards Formal Verification of Freeway Traffic Control
ICCPS '12 Proceedings of the 2012 IEEE/ACM Third International Conference on Cyber-Physical Systems
The Complete Proof Theory of Hybrid Systems
LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
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Hybrid systems have a complete axiomatization in differential dynamic logic relative to continuous systems. They also have a complete axiomatization relative to discrete systems. Moreover, there is a constructive reduction of properties of hybrid systems to corresponding properties of continuous systems or to corresponding properties of discrete systems. We briefly summarize and discuss some of the implications of these results.