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Finite-State Controllers of POMDPs using Parameter Synthesis
Proceedings of the 34th Conference on Uncertainty in Artificial Intelligence, PMLR R16:518-528, 2018.
Abstract
We study finite-state controllers (FSCs) for par- tially observable Markov decision processes (POMDPs) that are provably correct with re- spect to given specifications. The key in- sight is that computing (randomised) FSCs on POMDPs is equivalent to—and compu- tationally as hard as—synthesis for paramet- ric Markov chains (pMCs). This correspon- dence allows to use tools for synthesis in pMCs to compute correct-by-construction FSCs on POMDPs for a variety of specifications. Our experimental evaluation shows comparable per- formance to well-known POMDP solvers.