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We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We focus on discrete-time, stochastic linear dynamics and specifications given as formulas of the Generalized Reactivity(1) fragment of Linear Temporal Logic over linear predicates in the states of the system. We propose a solution based on iterativedoi:10.1145/2728606.2728608 dblp:conf/hybrid/SvorenovaKCCCB15 fatcat:kwmvhhavhzcq5lktx4az3mvbjq