# Qualitative analysis of Vass-induced MDPs

We consider infinite-state Markov decision processes (MDPs) that are

induced by extensions of vector addition systems with states (VASS).

Verification conditions for these MDPs are described by reachability and

B\"uchi objectives w.r.t.\ given sets of control-states.

We study the decidability of some qualitative versions of these objectives,

i.e., the decidability of whether such objectives can be achieved surely,

almost-surely, or limit-surely.

While most such problems are undecidable in general, some are decidable

for large subclasses in which either only the controller or only the random

environment can change the counter values (while the other side can only

change control-states).(joint work with Richard Mayr, Arnaud Sangnier,

Parosh Aziz Abdulla, Jeremy Sproston)