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Qualitative Logics and Equivalences for Probabilistic Systems

Krishnendu Chatterjee ; Luca de Alfaro ; Marco Faella ; Axel Legay.

We investigate logics and equivalence relations that capture the qualitative behavior of Markov Decision Processes (MDPs). We present Qualitative Randomized CTL (QRCTL): formulas of this logic can express the fact that certain temporal properties hold over all paths, or with probability 0 or 1, but&nbsp;[&hellip;]

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Algorithms for Omega-Regular Games with Imperfect Information

Krishnendu Chatterjee ; Laurent Doyen ; Thomas A. Henzinger ; Jean-Francois Raskin.

We study observation-based strategies for two-player turn-based games on graphs with omega-regular objectives. An observation-based strategy relies on imperfect information about the history of a play, namely, on the past sequence of observations. Such games occur in the synthesis of a controller&nbsp;[&hellip;]

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Quantitative Automata under Probabilistic Semantics

Krishnendu Chatterjee ; Thomas A. Henzinger ; Jan Otop.

Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of quantitative functions, we establish that automata with monitor&nbsp;[&hellip;]

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