Directed Reachability for Infinite-State Systems

Reachability Problems for Infinite State Systems

Reachability Analysis for Some Models of Infinite-State Transition Systems

We introduce some new models of infinite-state transition systems. The basic model, called a (reversal-bounded) counter machine (CM), is a nondeterministic finite automaton augmented with finitely many reversal-bounded counters (i.e. each counter can be incremented or decremented by 1 and tested for zero, but the number of times it can change mode from nondecreasing to nonincreasing and vice-ve...

Improving Reachability Analysis of Infinite State Systems by Specialization

We consider infinite state reactive systems specified by using linear constraints over the integers, and we address the problem of verifying safety properties of these systems by applying reachability analysis techniques. We propose a method based on program specialization, which improves the effectiveness of the backward and forward reachability analyses. For backward reachability our method c...

State constrained reachability for stochastic hybrid systems

The stochastic hybrid systems constitute well established classes of realistic models of hybrid discrete/continuous dynamics subject to random perturbations, autonomous uncontrollable transitions, nondeterminism or uncertainty. Stochastic reachability analysis is a key factor in the verification and deployment of stochastic hybrid systems. The encouraging recent progress prompts us to refine th...

Fairness for Infinite-State Systems

In this paper we introduce the first known tool for symbolically proving fair -CTL properties of (infinite-state) integer programs. Our solution is based on a reduction to existing techniques for fairnessfree CTL model checking via the use of infinite non-deterministic branching to symbolically partition fair from unfair executions. We show the viability of our approach in practice using exampl...