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We study the reachability problem of a quantum system modelled by a quantum automaton. The reachable sets are chosen to be boolean combinations of (closed) subspaces of the state space of the quantum system. Four different reachability…

计算机科学中的逻辑 · 计算机科学 2014-01-27 Yangjia Li , Mingsheng Ying

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

形式语言与自动机理论 · 计算机科学 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

Deterministic one-way time-bounded multi-counter automata are studied with respect to their ability to perform reversible computations, which means that the automata are also backward deterministic and, thus, are able to uniquely step the…

形式语言与自动机理论 · 计算机科学 2022-09-01 Martin Kutrib , Andreas Malcher

A new class of control problems is discussed - homeostasis control. Homeostasis control problems can be considered as control problems with a given target set, in particular, as a problem of stabilizing the values of some target function,…

最优化与控制 · 数学 2023-11-28 Alexander Fradkov

Coverability in Petri nets finds applications in verification of safety properties of reactive systems. We study coverability in the equivalent model: Vector Addition Systems with States (VASS). A k-VASS can be seen as k counters and a…

形式语言与自动机理论 · 计算机科学 2023-02-01 Filip Mazowiecki , Henry Sinclair-Banks , Karol Węgrzycki

We consider distributed systems with an arbitrary number of processes, modelled by timed automata that communicate through location guards: a process can take a guarded transition if at least one other process is in a given location. In…

计算机科学中的逻辑 · 计算机科学 2025-12-05 Étienne André , Swen Jacobs , Engel Lefaucheux

In a seminal work, Gibbons and Korach studied the complexity of deciding whether an observed sequence of reads and writes of a multi-threaded program admits a sequentially consistent interleaving. They showed the problem to be NP-hard even…

计算复杂性 · 计算机科学 2026-04-14 R. Govind , S. Krishna , Sanchari Sil , B. Srivathsan

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…

人工智能 · 计算机科学 2026-01-14 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Priced timed automata provide a natural model for quantitative analysis of real-time systems and have been successfully applied in various scheduling and planning problems. The optimal reachability problem for linearly-priced timed automata…

形式语言与自动机理论 · 计算机科学 2016-12-16 Devendra Bhave , Shankara Narayanan Krishna , Ashutosh Trivedi

We study the (parameter) synthesis problem for one-counter automata with parameters. One-counter automata are obtained by extending classical finite-state automata with a counter whose value can range over non-negative integers and be…

计算机科学中的逻辑 · 计算机科学 2021-10-20 Guillermo A. Pérez , Ritam Raha

We study decidability and complexity questions related to a continuous analogue of the Skolem-Pisot problem concerning the zeros and nonnegativity of a linear recurrent sequence. In particular, we show that the continuous version of the…

动力系统 · 数学 2009-04-23 Paul Bell , Jean-Charles Delvenne , Raphael Jungers , Vincent D. Blondel

We consider the reachability problem for timed automata having diagonal constraints (like x - y < 5) as guards in transitions. The best algorithms for timed automata proceed by enumerating reachable sets of its configurations, stored in the…

计算机科学中的逻辑 · 计算机科学 2018-06-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

系统与控制 · 电气工程与系统科学 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

We consider the problem of determining whether a target item assignment can be reached from an initial item assignment by a sequence of pairwise exchanges of items between agents. In particular, we consider the situation where each agent…

计算机科学与博弈论 · 计算机科学 2022-09-22 Takehiro Ito , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yuta Nozaki , Yoshio Okamoto , Kenta Ozeki

Although decidable, the marking reachability problem for Petri nets is well-known to be intractable in general, and a non-elementary lower bound has been recently uncovered. In order to alleviate this difficulty, various structural and…

计算机科学中的逻辑 · 计算机科学 2020-06-11 Thomas Hujsa , Bernard Berthomieu , Silvano Dal Zilio , Didier Le Botlan

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. Alur, Wojtczak, and…

计算机科学中的逻辑 · 计算机科学 2017-07-14 Shankara Narayanan Krishna , Aviral Kumar , Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

We aim to find orientations of mixed graphs optimizing the total reachability, a problem that has applications in causality and biology. For given a digraph $D$, we use $P(D)$ for the set of ordered pairs of distinct vertices in $V(D)$ and…

计算复杂性 · 计算机科学 2025-09-24 Florian Hörsch

A pushdown vector addition system with states (PVASS) extends the model of vector addition systems with a pushdown stack. The algorithmic analysis of PVASS has applications such as static analysis of recursive programs manipulating integer…

计算机科学中的逻辑 · 计算机科学 2024-02-21 Guillermo A. Perez , Shrisha Rao

This work studies which storage mechanisms in automata permit decidability of the emptiness problem. The question is formalized using valence automata, an abstract model of automata in which the storage mechanism is given by a monoid. For…

形式语言与自动机理论 · 计算机科学 2017-10-23 Georg Zetzsche

Reach-avoid differential games play an important role in collision avoidance, motion planning and control of aircrafts, and related applications. The central problem is the computation of the set of initial states from which the ego player…

最优化与控制 · 数学 2019-08-06 Bai Xue , Qiuye Wang , Naijun Zhan , Martin Fränzle , Shenghua Feng