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What's Decidable about Hybrid Automata? (1995)  (Make Corrections)  (6 citations)
Thomas A. Henzinger, Peter W. Kopke, Anuj Puri, Pravin Varaiya



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Abstract: . Hybrid automata model systems with both digital and analog components, such as embedded control programs. Many verification tasks for such programs can be expressed as reachability problems for hybrid automata. By improving on previous decidability and undecidability results, we identify the precise boundary between decidability and undecidability of the reachability problem for hybrid automata. On the positive side, we give an (optimal) PSPACE reachability algorithm for the case of... (Update)

Context of citations to this paper:   More

.... paper deals exclusively with computatational complexity questions related to hybrid systems, in the style of the papers [2, 3, 9, 10, 11, 13, 14], and more specifically, in the context of the class of discrete time PL systems. In [16] the second author introduced an...

.... dynamics and discrete transitions, has produced a body of theories and algorithms for control analysis and synthesis [1, 3, 4, 8, 14, 18]. Phase space control systems form a special class of hybrid systems. The formal results obtained in hybrid systems research provide...

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BibTeX entry:   (Update)

T. Henzinger, P.W. Kopke, A. Puri and P. Varaiya. "What's Decidable about Hybrid Automata?", Proc. 27th Annual ACM Symp. on Theory of Computing (STOC), 1995, pp.373--382. http://citeseer.ist.psu.edu/article/henzinger95whats.html   More

@inproceedings{ henzinger95whats,
    author = "Thomas A. Henzinger and Peter W. Kopke and Anuj Puri and Pravin Varaiya",
    title = "What's decidable about hybrid automata?",
    pages = "373--382",
    year = "1995",
    url = "citeseer.ist.psu.edu/article/henzinger95whats.html" }
Citations (may not include all citations):
666   Theoretical Computer Science (context) - Alur, Dill et al. - 1994  ACM
404   Symbolic model checking for real-time systems - Henzinger, Nicollin et al. - 1994  ACM   DBLP
399   The algorithmic analysis of hybrid systems - Alur, Courcoubetis et al. - 1995  ACM   DBLP
232   Hybrid automata: an algorithmic approach to the specificatio.. - Alur, Courcoubetis et al. - 1993  DBLP
167   Automatic symbolic verification of embedded systems - Alur, Henzinger et al. - 1993  ACM   DBLP
88   The benefits of relaxing punctuality - Alur, Feder et al. - 1991  ACM   DBLP
77   Algorithmic analysis of nonlinear hybrid systems - Henzinger, Ho - 1995  ACM   DBLP
75   Parametric real-time reasoning - Alur, Henzinger et al. - 1993  ACM   DBLP
69   What good are digital clocks - Henzinger, Manna et al. - 1992
61   Verification of an audio-control protocol - Bosscher, Polak et al. - 1994
40   A determinizable class of timed automata (context) - Alur, Fix et al. - 1994  ACM   DBLP
36   The observational power of clocks - Alur, Courcoubetis et al. - 1993  ACM   DBLP
36   Computing accumulated delays in real-time systems - Alur, Courcoubetis et al. - 1993  ACM   DBLP
18   On model checking for real-time properties with durations - Bouajjani, Echahed et al. - 1993  DBLP
14   Verifying invariance properties of timed systems with durati.. (context) - Bouajjani, Echahed et al. - 1994
5   Model-checking strategies for linear hybrid systems - Henzinger, Ho - 1994
5   Algorithmic Problems in Analysis of Real-time System Specifi.. (context) - Cer - 1992



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.path.berkeley.edu/~varaiya/hybrid.html):   More
Reach Set Computation Using Optimal Control - Varaiya (1997)   (Correct)
Executive Summary - Automation Of   (Correct)
ε-Approximation of Differential Inclusions - Puri, Varaiya, Borkar (1995)   (Correct)

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