Reachability in Timed Counter Systems
نویسندگان
چکیده
We introduce Timed Counter Systems, a new class of systems mixing clocks and counters. Such systems have an infinite state space, and their reachability problems are generally undecidable. By abstracting clock values with a Region Graph, we show the Counter Reachability Problem to be decidable for three subclasses : Timed VASS, Bounded Timed Counter Systems, and Reversal-Bounded Timed Counter Systems.
منابع مشابه
Relating Reachability Problems in Timed and Counter Automata
We establish a relationship between reachability problems in timed automata and spacebounded counter automata. We show that reachability in timed automata with three or more clocks is logarithmic-space inter-reducible with reachability in space-bounded counter automata with two counters. We moreover show the logarithmic-space equivalence of reachability in two-clock timed automata and space-bou...
متن کاملOn the Relationship between Reachability Problems in Timed and Counter Automata
This paper establishes a relationship between reachability problems in timed automata and space-bounded counter automata. We show that reachability in timed automata with three or more clocks is naturally logarithmic-space interreducible with reachability in spacebounded counter automata with two counters. We moreover show the logarithmic-space equivalence of reachability in two-clock timed aut...
متن کاملPast pushdown timed automata and safety verification
We consider past pushdown timed automata that are discrete pushdown timed automata with past formulas as enabling conditions. Using past formulas allows a past pushdown timed automaton to access the past values of the finite state variables in the automaton. We prove that the reachability (i.e., the set of reachable configurations from an initial configuration) of a past pushdown timed automato...
متن کاملReachability in Two-Clock Timed Automata Is PSPACE-Complete
A recent result has shown that reachability in two-clock timed automata is log-space equivalent to reachability in bounded onecounter automata [6]. We show that reachability in bounded one-counter automata is PSPACE-complete.
متن کاملOn parametric timed automata and one-counter machines
Two decades ago, Alur, Henzinger, and Vardi introduced the reachability problem for parametric timed automata in the seminal paper [2]. Their main results are that reachability is decidable for timed automata with a single parametric clock, and undecidable for timed automata with three or more parametric clocks. In the case of two parametric clocks, decidability was left open, with hardly any p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Electr. Notes Theor. Comput. Sci.
دوره 239 شماره
صفحات -
تاریخ انتشار 2009