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Efficient implementations of atomic objects such as concurrent stacks and queues are especially susceptible to programming errors, and necessitate automatic verification. Unfortunately their correctness criteria - linearizability with…

Logic in Computer Science · Computer Science 2015-05-26 Ahmed Bouajjani , Michael Emmi , Constantin Enea , Jad Hamza

Reachability problems in infinite-state systems are often subject to extremely high complexity. This motivates the investigation of efficient overapproximations, where we add transitions to obtain a system in which reachability can be…

Formal Languages and Automata Theory · Computer Science 2022-06-28 Moses Ganardi , Rupak Majumdar , Georg Zetzsche

Neural network (NN) dynamics models and control policies achieve strong performance in robotics, but providing sound guarantees under uncertainty remains difficult, especially for closed-loop NN systems. Existing reachability tools provide…

Robotics · Computer Science 2026-05-26 Keyi Shen , Glen Chou

In this study, we investigate a robust single-machine scheduling problem under processing time uncertainty. The uncertainty is modeled using the budgeted approach, where each job has a nominal and deviation processing time, and the number…

Discrete Mathematics · Computer Science 2026-02-04 Noam Goldberg , Dvir Shabtay

It has been proved that to implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time proportional to the uncertainty in the latency of the network for both read and write operations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-01 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard

The sporadic task model is often used to analyze recurrent execution of identical tasks in real-time systems. A sporadic task defines an infinite sequence of task instances, also called jobs, that arrive under the minimum inter-arrival time…

Operating Systems · Computer Science 2018-03-01 Jian-Jia Chen , Georg von der Brüggen , Niklas Ueter

Reachability analysis plays a central role in system design and verification. The reachability problem, denoted $\Diamond^J\,\Phi$, asks whether the system will meet the property $\Phi$ after some time in a given time interval $J$.…

Logic in Computer Science · Computer Science 2023-10-19 Hui Jiang , Jianling Fu , Ming Xu , Yuxin Deng , Zhi-Bin Li

We investigate the universality of multi-spin systems in architectures of various symmetries of coupling type and topology. Explicit reachability sets under symmetry constraints are provided. Thus for a given (possibly symmetric)…

Quantum Physics · Physics 2009-05-17 U. Sander , T. Schulte-Herbrueggen

In Real-time system, utilization based schedulability test is a common approach to determine whether or not tasks can be admitted without violating deadline requirements. The exact problem has previously been proven intractable even upon…

Software Engineering · Computer Science 2011-01-11 Jagbeer Singh

Hyperproperties, such as non-interference and observational determinism, relate multiple system executions to each other. They are not expressible in standard temporal logics, like LTL, CTL, and CTL*, and thus cannot be monitored with…

Logic in Computer Science · Computer Science 2018-07-03 Bernd Finkbeiner , Christopher Hahn , Marvin Stenger , Leander Tentrup

Many problems in compositional synthesis and verification of multi-agent systems -- such as rational verification and assume-guarantee verification in probabilistic systems -- reduce to reasoning about two-player multi-objective stochastic…

Computer Science and Game Theory · Computer Science 2026-02-16 Moritz Graf , Anthony Lin , Rupak Majumdar

We investigate the impact of spontaneous movement in the complexity of verification problems for an automata-based protocol model of networks with selective broadcast communication. We first consider reachability of an error state and show…

Logic in Computer Science · Computer Science 2012-02-28 Giorgio Delzanno , Arnaud Sangnier , Riccardo Traverso , Gianluigi Zavattaro

Time-invariant finite-dimensional systems, under reasonable continuity assumptions, exhibit the property that if solutions exist for all future times, the set of vectors reachable from a bounded set of initial conditions over bounded time…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Hernan Haimovich , Jose L. Mancilla-Aguilar

We present a new partial order reduction method for reachability analysis of nondeterministic labeled transition systems over metric spaces. Nondeterminism arises from both the choice of the initial state and the choice of actions, and the…

Logic in Computer Science · Computer Science 2018-05-14 Chuchu Fan , Zhenqi Huang , Sayan Mitra

We study verification problems for history-constrained systems (HCS), a model of guarded computation that uses nested systems. An outer system describes the process architecture in which a sequence of actions represents the communication…

Formal Languages and Automata Theory · Computer Science 2026-02-23 Louwe B. Kuijer , David Purser , Henry Sinclair-Banks , Patrick Totzke

Reachability analysis of hybrid systems has been used as a safety verification tool to assess offline whether the state of a system is capable of remaining within a designated safe region for a given time horizon. Although it has been…

Optimization and Control · Mathematics 2014-04-24 Kendra Lesser , Meeko Oishi

We study (bi)simulation-like preorder/equivalence checking on the class of visibly pushdown automata and its natural subclasses visibly BPA (Basic Process Algebra) and visibly one-counter automata. We describe generic methods for proving…

Computational Complexity · Computer Science 2015-07-01 Jiří Srba

Determining the complexity of the reachability problem for vector addition systems with states (VASS) is a long-standing open problem in computer science. Long known to be decidable, the problem to this day lacks any complexity upper bound…

Formal Languages and Automata Theory · Computer Science 2017-03-20 Michael Blondin , Alain Finkel , Stefan Göller , Christoph Haase , Pierre McKenzie

Under a regularity assumption we prove that reachability in fixed time for nonlinear control systems is robust under control sampling.

Optimization and Control · Mathematics 2020-06-22 Loïc Bourdin , Emmanuel Trélat

Bounded-rate multi-mode systems are hybrid systems that can switch among a finite set of modes. Its dynamics is specified by a finite number of real-valued variables with mode-dependent rates that can vary within given bounded sets. Given…

Logic in Computer Science · Computer Science 2014-12-12 Devendra Bhave , Sagar Jha , Shankara Narayanan Krishna , Sven Schewe , Ashutosh Trivedi