“Sometimes” and “not never” revisited: on branching versus linear time temporal logic
Journal of the ACM (JACM) - The MIT Press scientific computation series
Model checking
Dynamic Logic
Process logic: preliminary report
POPL '79 Proceedings of the 6th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
An Extended Duration Calculus for Hybrid Real-Time Systems
Hybrid Systems
Deduction in the Verification Support Environment (VSE)
FME '96 Proceedings of the Third International Symposium of Formal Methods Europe on Industrial Benefit and Advances in Formal Methods
A Sequent Calculus for First-Order Dynamic Logic with Trace Modalities
IJCAR '01 Proceedings of the First International Joint Conference on Automated Reasoning
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
Model Checking Data-Dependent Real-Time Properties of the European Train Control System
FMCAD '06 Proceedings of the Formal Methods in Computer Aided Design
Towards a Hybrid Dynamic Logic for Hybrid Dynamic Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
The temporal logic of programs
SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
Proceedings of the 10th international conference on Hybrid systems: computation and control
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
The image computation problem in hybrid systems model checking
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Differential logic for reasoning about hybrid systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Verification of object-oriented software: The KeY approach
Verification of object-oriented software: The KeY approach
ATVA'05 Proceedings of the Third international conference on Automated Technology for Verification and Analysis
Dynamic logic with non-rigid functions: a basis for object-oriented program verification
IJCAR'06 Proceedings of the Third international joint conference on 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
Verification architectures: compositional reasoning for real-time systems
IFM'10 Proceedings of the 8th international conference on Integrated formal methods
Differential dynamic logics: automated theorem proving for hybrid systems
Differential dynamic logics: automated theorem proving for hybrid systems
LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
MAS: qualitative and quantitative reasoning
ProMAS'11 Proceedings of the 9th international conference on Programming Multi-Agent Systems
Dynamic logic with trace semantics
CADE'13 Proceedings of the 24th international conference on Automated Deduction
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We combine first-order dynamic logic for reasoning about possible behaviour of hybrid systems with temporal logic for reasoning about the temporal behaviour during their operation. Our logic supports verification of hybrid programs with first-order definable flows and provides a uniform treatment of discrete and continuous evolution. For our combined logic, we generalise the semantics of dynamic modalities to refer to hybrid traces instead of final states. Further, we prove that this gives a conservative extension of dynamic logic. On this basis, we provide a modular verification calculus that reduces correctness of temporal behaviour of hybrid systems to non-temporal reasoning. Using this calculus, we analyse safety invariants in a train control system and symbolically synthesise parametric safety constraints.