Reachability games on extended vector addition systems with states
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
Lossy counter machines decidability cheat sheet
RP'10 Proceedings of the 4th international conference on Reachability problems
Concurrent games on VASS with inhibition
CONCUR'12 Proceedings of the 23rd international conference on Concurrency Theory
A modal specification theory for components with data
Science of Computer Programming
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In an earlier work [Abdulla et al. (2000, Information and Computation, 160, 109–127)] we presented a general framework for verification of infinite-state transition systems, where the transition relation is monotonic with respect to a well quasi-ordering on the set of states. In this article, we investigate extending the framework from the context of transition systems to that of games with infinite state spaces. We show that monotonic games with safety winning conditions are in general undecidable. In particular, we show this negative results for games which are defined over Petri nets. We identify a subclass of monotonic games, called downward closed games. We provide algorithms for analysing downward closed games subject to safety winning conditions. We apply the algorithm to games played on lossy channel systems. Finally, we show that weak parity games are undecidable for the above classes of games.