Model Checking with Finite Complete Prefixes Is PSPACE-Complete
نویسنده
چکیده
Unfoldings are a technique for verification of concurrent and distributed systems introduced by McMillan. The method constructs a finite complete prefix, which can be seen as a symbolic representation of an interleaved reachability graph. We show that model checking a fixed size formula of several temporal logics, including LTL, CTL, and CTL∗, is PSPACE-complete in the size of a finite complete prefix of a 1-safe Petri net. This proof employs a class of 1-safe Petri nets for which it is easy to generate a finite complete prefix in polynomial time.
منابع مشابه
Combining symbolic and partial order methods for model checking 1-safe Petri nets
In this work, methods are presented for model checking finite state asynchronous systems, more specifically 1-safe Petri nets, with the aim of alleviating the state explosion problem. Symbolic model checking techniques are used, combined with two partial order semantics known as net unfoldings and processes. We start with net unfoldings and study deadlock and reachability checking problems, usi...
متن کاملSatisfiability and Model Checking for the Logic of Sub-Intervals under the Homogeneity Assumption
In this paper, we investigate the finite satisfiability and model checking problems for the logic D of the sub-interval relation under the homogeneity assumption, that constrains a proposition letter to hold over an interval if and only if it holds over all its points. First, we prove that the satisfiability problem for D, over finite linear orders, is PSPACE-complete; then, we show that its mo...
متن کاملUsing Logic Programs with Stable Model Semantics to Solve Deadlock and Reachability Problems for 1-Safe Petri Nets
McMillan has presented a deadlock detection method for Petri nets based on finite complete prefixes (i.e. net unfoldings). The basic idea is to transform the PSPACE-complete deadlock detection problem for a 1-safe Petri net into a potentially exponentially larger NP-complete problem of deadlock detection for a finite complete prefix. McMillan suggested a branch-and-bound algorithm for deadlock ...
متن کاملPath Checking for MTL and TPTL over Data Words
Precise complexity results are derived for the model checking problems for MTL (metric temporal logic) and TPTL (timed propositional temporal logic) on (in)finite data words and deterministic one-counter machines. Depending on the number of register variables and the encoding of numbers in constraints (unary or binary), the complexity is either P-complete or PSPACE-complete.
متن کاملOn the Complexity of LtlModel-Checking of Recursive State Machines
Recursive state machines (rsms) are models for programs with recursive procedural calls. While Ltl model-checking is Exptimecomplete on such models, on finite-state machines, it is Pspace-complete in general and becomes Np-complete for interesting fragments. In this paper, we systematically study the computational complexity of modelchecking rsms against several syntactic fragments of Ltl. Our ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000