1. A method for model checking of deployed systems, comprising: learning an interval discrete-time Markov chain (IDTMC) model of a deployed system from system logs; and checking the IDTMC model with a processor to determine a probability of violating one or more probabilistic safety properties, comprising: splitting the probability into a linear part and a non-linear part; and calculating the linear part exactly using affine arithmetic; and over-approximating the non-linear part using interval arithmetic.