Abstract
Designing and analyzing hybrid systems, which are models for complex physical systems, is expensive and error-prone. The dissertation presented in this article introduces a verification logic that is suitable for analyzing the behavior of hybrid systems. It presents a proof calculus and a new deductive verification tool for hybrid systems that has been used successfully to verify aircraft and train control.
Similar content being viewed by others
References
Collins GE, Hong H (1991) Partial cylindrical algebraic decomposition for quantifier elimination. J Symb Comput 12(3):299–328
Davoren JM, Nerode A (2000) Logics for hybrid systems. IEEE 88(7):985–1010
ERTMS User Group (2002) ERTMS/ETCS system requirements specification. Version 2.2.2.
Henzinger TA (1996) The theory of hybrid automata. In: LICS. IEEE Computer Society, Los Alamitos, pp 278–292
Platzer A (2010) Differential–algebraic dynamic logic for differential-algebraic programs. J Logic Comput. 20(1):309–352
Platzer A (2008) Differential dynamic logic for hybrid systems. J Autom Reason 41(2):143–189
Platzer A (2008) Differential dynamic logics: automated theorem proving for hybrid systems. PhD thesis, Department of Computing Science, University of Oldenburg. To appear as Logical Analysis of Hybrid Systems with Springer
Platzer A, Clarke EM (2008) Computing differential invariants of hybrid systems as fixedpoints. In: Gupta A, Malik S (eds) CAV. LNCS, vol 5123. Springer, Berlin, pp 176–189
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Platzer, A. Differential Dynamic Logics. Künstl Intell 24, 75–77 (2010). https://doi.org/10.1007/s13218-010-0014-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13218-010-0014-6