AI RESEARCH

Computing the Reachability Value of Posterior-Deterministic POMDPs

arXiv CS.AI

ArXi:2602.07473v2 Announce Type: replace Partially observable Marko decision processes (POMDPs) are a fundamental model for sequential decision-making under uncertainty. However, many verification and synthesis problems for POMDPs are undecidable or intractable. Most prominently, the seminal result of Madani states that there is no algorithm that, given a POMDP and a set of target states, can compute the maximal probability of reaching the target states, or even approximate it up to a non-trivial constant.