Abstract | ||
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Computing over-approximations of all possible time trajectories is an important task in the analysis of hybrid systems. Sankaranarayanan et al. [20] suggested to approximate the set of reachable states using template polyhedra. In the present paper, we use a max-strategy improvement algorithm for computing an abstract semantics for affine hybrid automata that is based on template polyhedra and safely over-approximates the concrete semantics. Based on our formulation, we show that the corresponding abstract reachability problem is in co-NP. Moreover, we obtain a polynomial-time algorithm for the time elapse operation over template polyhedra. |
Year | DOI | Venue |
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2011 | 10.1007/978-3-642-25318-8_6 | APLAS |
Keywords | Field | DocType |
hybrid system,template polyhedron,time elapse operation,concrete semantics,affine hybrid automaton,polynomial-time algorithm,max-strategy improvement algorithm,abstract semantics,possible time trajectory,template-based unbounded time verification,corresponding abstract reachability problem | Affine transformation,Computer science,Automaton,Polyhedron,Theoretical computer science,Reachability problem,Hybrid system,Semantics | Conference |
Citations | PageRank | References |
7 | 0.47 | 20 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Thao Dang | 1 | 1722 | 115.80 |
Thomas Martin Gawlitza | 2 | 88 | 6.37 |