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This paper introduces strong bisimulation for continuoustime Markov decision processes (CTMDPs), a stochastic model which allows for a nondeterministic choice between exponential distributions, and shows that bisimulation preserves the validity of CSL. To that end, we interpret the semantics of CSL--a stochastic variant of CTL for continuous-time Markov chains--on CTMDPs and show its measuretheoretic soundness. The main challenge faced in this paper is the proof of logical preservation that is substantially based on measure theory.