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In this work, we analyze an efficient sampling-based algorithm for general-purpose reachability analysis, which remains a notoriously challenging problem with applications ranging from neural network verification to safety analysis of…

系统与控制 · 电气工程与系统科学 2022-04-15 Thomas Lew , Lucas Janson , Riccardo Bonalli , Marco Pavone

Reachability and LTL model-checking problems for flat counter systems are known to be decidable but whereas the reachability problem can be shown in NP, the best known complexity upper bound for the latter problem is made of a tower of…

计算机科学中的逻辑 · 计算机科学 2015-03-20 Stéphane Demri , Amit Kumar Dhar , Arnaud sangnier

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

机器学习 · 计算机科学 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský

We consider the synthesis of distributed implementations for specifications in parameterized temporal logics such as PROMPT-LTL, which extends LTL by temporal operators equipped with parameters that bound their scope. For single process…

计算机科学中的逻辑 · 计算机科学 2018-02-28 Swen Jacobs , Leander Tentrup , Martin Zimmermann

Learning-based methods for synthesizing controllers have gained popularity due to their high expressiveness and strong empirical performance. However, in safety-critical scenarios such as autonomous driving, robotics, and power systems,…

系统与控制 · 电气工程与系统科学 2026-05-27 Haoyu Li , Xiangru Zhong , Hao Cheng , Bin Hu , Huan Zhang

We study the fixed points of outer-totalistic cellular automata on sparse random regular graphs. These can be seen as constraint satisfaction problems, where each variable must adhere to the same local constraint, which depends solely on…

无序系统与神经网络 · 物理学 2024-12-06 Cédric Koller , Freya Behrens , Lenka Zdeborová

We study synthesis of reactive systems interacting with environments using an infinite data domain. A popular formalism for specifying and modelling such systems is register automata and transducers. They extend finite-state automata by…

形式语言与自动机理论 · 计算机科学 2022-06-09 Léo Exibard , Emmanuel Filiot , Ayrat Khalimov

The reachability problem for timed automata asks if there exists a path from an initial state to a target state. The standard solution to this problem involves computing the zone graph of the automaton, which in principle could be infinite.…

计算机科学中的逻辑 · 计算机科学 2011-12-30 Frédéric Herbreteau , Dileep Kini , B. Srivathsan , Igor Walukiewicz

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

密码学与安全 · 计算机科学 2022-06-08 Johan Arcile , Étienne André

In this paper, we consider the problem of controller design using approximately bisimilar abstractions with an emphasis on safety and reachability specifications. We propose abstraction-based approaches to solve both classes of problems. We…

系统与控制 · 计算机科学 2011-06-17 Antoine Girard

We consider the synthesis problem on timed automata with B\"uchi objectives, where delay choices made by a controller are subjected to small perturbations. Usually, the controller needs to avoid punctual guards, such as testing the equality…

计算机科学与博弈论 · 计算机科学 2024-04-30 Benoît Barbot , Damien Busatto-Gaston , Catalin Dima , Youssouf Oualhadj

We study the problem of non-preemptively scheduling $n$ jobs, each job $j$ with a release time $t_j$, a deadline $d_j$, and a processing time $p_j$, on $m$ parallel identical machines. Cieliebak et al. (2004) considered the two constraints…

数据结构与算法 · 计算机科学 2017-05-25 René van Bevern , Rolf Niedermeier , Ondřej Suchý

We consider the matrix completion problem where the aim is to esti-mate a large data matrix for which only a relatively small random subset of its entries is observed. Quite popular approaches to matrix completion problem are iterative…

统计理论 · 数学 2015-02-03 Olga Klopp

The timed automata formalism is an important model for specifying and analysing real-time systems. Robustness is the correctness of the model in the presence of small drifts on clocks or imprecision in testing guards. A symbolic algorithm…

计算机科学中的逻辑 · 计算机科学 2010-04-01 Piotr Kordy , Rom Langerak , Jan Willem Polderman

We present a tool-supported approach for the synthesis, verification and validation of the control software responsible for the safety of the human-robot interaction in manufacturing processes that use collaborative robots. In human-robot…

We propose an approach to compute inner and outer-approximations of the sets of values satisfying constraints expressed as arbitrarily quantified formulas. Such formulas arise for instance when specifying important problems in control such…

系统与控制 · 电气工程与系统科学 2023-09-22 Eric Goubault , Sylvie Putot

The reachability problem in multi-pushdown automata (MPDA) has many applications in static analysis of recursive programs. An example is safety verification of multi-threaded recursive programs with shared memory. Since these problems are…

形式语言与自动机理论 · 计算机科学 2025-12-05 C. Aiswarya , Pascal Baumann , Prakash Saivasan , Lia Schütze , Georg Zetzsche

For typical first-order logical theories, satisfying assignments have a straightforward finite representation that can directly serve as a certificate that a given assignment satisfies the given formula. For non-linear real arithmetic…

计算机科学中的逻辑 · 计算机科学 2025-03-07 Enrico Lipparini , Stefan Ratschan

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

形式语言与自动机理论 · 计算机科学 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

In previous work, we have introduced a contract-based real- izability checking algorithm for assume-guarantee contracts involving infinite theories, such as linear integer/real arith- metic and uninterpreted functions over infinite domains.…

软件工程 · 计算机科学 2016-03-01 Andreas Katis , Michael W. Whalen , Andrew Gacek