Rastislav Lenhardt

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Interval Markov chains (IMCs) generalize ordinary Markov chains by having interval-valued transition probabilities. They are useful for modeling systems in which some transition probabilities depend on an unknown environment, are only approximately known, or are parameters that can be controlled. We consider the problem of computing values for the unknown(More)
Verification of properties expressed in the two-variable fragment of first-order logic FO<sup>2</sup> has been investigated in a number of contexts. The satisfiability problem for FO<sup>2</sup> over arbitrary structures is known to be NEXPTIME-complete, with satisfiable formulas having exponential-sized models. Over words, where FO<sup>2</sup> is known to(More)
Verification of properties of first order logic with two variables FO 2 has been investigated in a number of contexts. Over arbitrary structures it is known to be decidable with NEXPTIME complexity, with finitely satisfiable formulas having exponential-sized models. Over word structures, where FO 2 is known to have the same expressiveness as unary temporal(More)
In the last decade, the power of the state-of-the-art SAT and Integer Programming solvers has dramatically increased. They implement many new techniques and heuristics and since any NP problem can be converted to SAT or ILP instance, we could take advantage of these techniques in general by converting the instance of NP problem to SAT formula or Integer(More)
ii Acknowledgements I am grateful to my supervisors James Worrell and Joël Ouaknine for the great topic and invaluable guidance, support, discussions and suggestions during my work on the dissertation. I would also like to thank Stephan Kreutzer a lot for guiding me through this master's program. Finally I appreciate Engineering and Physical Sciences(More)
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