The PCTL satisfiability problem resolved!
The general/finite PCTL satisfiability problems are undecidable.
Exciting news! Two of our research papers have been accepted at the IJCAI'23 conference.
The paper "Mean Payoff Optimization for Systems of Periodic Service & Maintenance" by D. Klaška, A. Kučera, V. Musil, and V. Řehák tackles the challenge of maximizing the long-run average payoff for agents performing periodic maintenance tasks. It performs a thorough theoretical analysis of the problem proposes efficient algorithms for constructing compact randomized maintenance schedules.
The paper "Synthesizing Resilient Strategies for Infinite-Horizon Objectives in Multi-Agent Systems" by D. Klaška, A. Kučera, M. Kurečka, V. Musil, P. Novotný and V. Řehák presents a novel specification language & strategy synthesis algorithm for creating resilient & stochastically stable strategy profiles in cooperative systems, with applications in patrolling and periodic maintenance.