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Parametric timed automata (PTAs) are a powerful formalism to reason, simulate and formally verify critical real-time systems. After 25 years of research on PTAs, it is now well-understood that any non-trivial problem studied is undecidable…

Logic in Computer Science · Computer Science 2019-07-04 Étienne André

We consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

We study the safety verification problem for parameterized systems under the release-acquire (RA) semantics. It has been shown that the problem is intractable for systems with unlimited access to atomic compare-and-swap (CAS) instructions.…

Logic in Computer Science · Computer Science 2022-05-06 Adwait Godbole , Shankara Narayanan Krishna , Roland Meyer

The verification of concurrent programs under weak-memory models is a burgeoning effort, owing to the increasing adoption of weak memory in concurrent software and hardware. Release/Acquire has become the standard model for high-performance…

Programming Languages · Computer Science 2026-04-16 Giovanna Kobus Conrado , Andreas Pavlogiannis

Backward reachability (also termed controllability) has been extensively studied in control theory, and tools for a wide class of systems have been developed. Nevertheless, assessing a backward reachability analysis or synthesis remains…

Optimization and Control · Mathematics 2021-09-13 Davide Liuzza , Paolo Falcone , Massimo Tipaldi , Luigi Glielmo

Multi-pushdown systems are a standard model for concurrent recursive programs, but they have an undecidable reachability problem. Therefore, there have been several proposals to underapproximate their sets of runs so that reachability in…

Formal Languages and Automata Theory · Computer Science 2021-08-03 Aneesh K. Shetty , S. Krishna , Georg Zetzsche

We study the problem of grammar-constrained context-free language reachability in graphs, focusing on complexity and empirical performance. We present an algorithmic framework for evaluating reachability queries constrained by context-free…

Data Structures and Algorithms · Computer Science 2026-03-02 Faruk Alpay , Levent Sarioglu

The fundamental caching problem in networks asks to find an allocation of contents to a network of caches with the aim of maximizing the cache hit rate. Despite the problem's importance to a variety of research areas -- including not only…

Networking and Internet Architecture · Computer Science 2024-12-24 Robert Ganian , Fionn Mc Inerney , Dimitra Tsigkari

We consider the reachability relation of pushdown systems whose pushdown holds a Mazurkiewicz trace instead of just a word as in classical systems. Under two natural conditions on the transition structure of such systems, we prove that the…

Formal Languages and Automata Theory · Computer Science 2025-02-18 Chris Köcher , Dietrich Kuske

This paper deals with the problem of point-to-point reachability in multi-linear systems. These systems consist of a partition of the Euclidean space into a finite number of regions and a constant derivative assigned to each region in the…

Logic in Computer Science · Computer Science 2011-06-08 Olga Tveretina , Daniel Funke

Forward reachability analysis is the predominant approach for verifying reach-avoid properties in neural feedback systems (dynamical systems controlled by neural networks). This dominance stems from the limited scalability of existing…

Artificial Intelligence · Computer Science 2026-01-14 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

We study algorithmic problems in multi-stage open shop processing systems that are centered around reachability and deadlock detection questions. We characterize safe and unsafe system states. We show that it is easy to recognize system…

Data Structures and Algorithms · Computer Science 2011-02-16 Christian Eggermont , Alexander Schrijver , Gerhard J. Woeginger

The pairwise reachability problem for a multi-threaded program asks, given control locations in two threads, whether they can be simultaneously reached in an execution of the program. The problem is important for static analysis and is used…

Logic in Computer Science · Computer Science 2015-07-01 Remi Bonnet , Rohit Chadha , Mahesh Viswanathan , P. Madhusudan

The efficient and fair distribution of indivisible resources among agents is a common problem in the field of \emph{Multi-Agent-Systems}. We consider a graph-based version of this problem called Reachable Assignments, introduced by Gourves,…

Multiagent Systems · Computer Science 2020-05-06 Luis Müller , Matthias Bentert

We continue and extend previous work on the parameterized complexity analysis of the NP-hard Stable Roommates with Ties and Incomplete Lists problem, thereby strengthening earlier results both on the side of parameterized hardness as well…

Computational Complexity · Computer Science 2021-03-09 Robert Bredereck , Klaus Heeger , Dušan Knop , Rolf Niedermeier

In this paper, we work on the notion of k-synchronizability: a system is k-synchronizable if any of its executions, up to reordering causally independent actions, can be divided into a succession of k-bounded interaction phases. We show two…

Formal Languages and Automata Theory · Computer Science 2020-01-22 Cinzia Di Giusto , Cinzia Giusto , Laetitia Laversa , Etienne Lozes

We investigate the fine-grained complexity of liveness verification for leader contributor systems. These consist of a designated leader thread and an arbitrary number of identical contributor threads communicating via a shared memory. The…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Peter Chini , Roland Meyer , Prakash Saivasan

We consider probabilistic automata on infinite words with acceptance defined by safety, reachability, B\"uchi, coB\"uchi, and limit-average conditions. We consider quantitative and qualitative decision problems. We present extensions and…

Logic in Computer Science · Computer Science 2011-04-28 Krishnendu Chatterjee , Thomas A. Henzinger , Mathieu Tracol

Parametric timed automata (PTA) extend timed automata with unknown constants ("parameters"), at the price of undecidability of most interesting problems. The (untimed) language preservation problem ("given a parameter valuation, can we find…

Formal Languages and Automata Theory · Computer Science 2018-12-24 Étienne André , Shang-Wei Lin

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

Logic in Computer Science · Computer Science 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan
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