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Game Refinement Relations and Metrics

Luca de Alfaro ; Rupak Majumdar ; Vishwanath Raman ; Mariëlle Stoelinga.

We consider two-player games played over finite state spaces for an infinite number of rounds. At each state, the players simultaneously choose moves; the moves determine a successor state. It is often advantageous for players to choose probability distributions over moves, rather than single moves.&nbsp;[&hellip;]

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Algorithms for Game Metrics

Krishnendu Chatterjee ; Luca de Alfaro ; Rupak Majumdar ; Vishwanath Raman.

Simulation and bisimulation metrics for stochastic systems provide a quantitative generalization of the classical simulation and bisimulation relations. These metrics capture the similarity of states with respect to quantitative specifications written in the quantitative {\mu}-calculus and related&nbsp;[&hellip;]

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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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