Conjunctive Safety Queries in MDPs (Model-Checking Problem)
Description
Given a model of a system and an objective, the model-checking problem asks whether the model satisfies the objective.
In this case, the model is a Markov Decision Process (MDP), and the objective is safety: given a set of target vertices $T\subseteq V$, determine whether there is an infinite path that does not visit any vertex in $T$ (i.e. you want to avoid all vertices in $T$).
Furthermore, given $k$ safety objectives, the conjunctive safety query question asks whether there is a strategy for player 1 to ensure that all the safety objectives are satisfied with probability 1.
Conjunctive queries coincide with conjunctive objectives on graphs and MDPs.
Related Problems
Generalizations: Safety in MDPs
Related: Reachability in MDPs, Disjunctive Reachability Queries in MDPs, Conjunctive Reachability Queries in MDPs, Disjunctive Safety Queries in MDPs, Safety in Graphs, Disjunctive Queries of Safety in Graphs, Disjunctive coBüchi Objectives, Generalized Büchi Games
Parameters
n: number of vertices
m: number of edges
k: number of objectives
MEC: O(\min(n^2, m^{1.5}))
Table of Algorithms
Currently no algorithms in our database for the given problem.