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Related papers: Abstraction Refinement Algorithms for Timed Automa…

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The zone abstraction, widely adopted for its notable practical efficiency, is the de facto standard in the verification of Timed Automata (TA). Nonetheless, region-based abstractions have been shown to outperform zones in specific…

Formal Languages and Automata Theory · Computer Science 2026-02-18 Andrea Manini , Matteo Rossi , Pierluigi San Pietro

Monotonic abstraction is a technique introduced in model checking parameterized distributed systems in order to cope with transitions containing global conditions within guards. The technique has been re-interpreted in a declarative setting…

Logic in Computer Science · Computer Science 2014-11-17 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We present a methodology for formulating simplifying abstractions in machine learning systems by identifying and harnessing the utility structure of decisions. Machine learning tasks commonly involve high-dimensional output spaces (e.g.,…

Machine Learning · Computer Science 2023-03-31 Michael Poli , Stefano Massaroli , Stefano Ermon , Bryan Wilder , Eric Horvitz

Model checking has found a role in the engineering of reactive systems. However, model checkers are still strongly limited by the size of the system description they can check. Here we present a technique in which a system is simplified…

Software Engineering · Computer Science 2023-08-01 Glenn Bruns

Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. Reducing their state space is a significant way to reduce the inherently large analysis times. We…

Formal Languages and Automata Theory · Computer Science 2022-12-12 Étienne André , Dylan Marinho , Laure Petrucci , Jaco van de Pol

Recently, there has been an increasing interest in the formal analysis and design of control systems. In this area, in order to reduce the complexity and scale of control systems, finite abstractions of control systems are introduced and…

Optimization and Control · Mathematics 2013-01-01 Jinjin Zhang , Zhaohui Zhu , Jianfei Yang

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2010-07-28 David Monniaux

We introduce first order alternating automata, a generalization of boolean alternating automata, in which transition rules are described by multisorted first order formulae, with states and internal variables given by uninterpreted…

Formal Languages and Automata Theory · Computer Science 2018-11-20 Radu Iosif , Xiao Xu

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

Alternating automata have been widely used to model and verify systems that handle data from finite domains, such as communication protocols or hardware. The main advantage of the alternating model of computation is that complementation is…

Formal Languages and Automata Theory · Computer Science 2017-08-17 Radu Iosif , Xiao Xu

Automatic data abstraction is an important capability for both benchmarking machine intelligence and supporting summarization applications. In the former one asks whether a machine can `understand' enough about the meaning of input data to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Umar Riaz Muhammad , Yongxin Yang , Timothy M. Hospedales , Tao Xiang , Yi-Zhe Song

Modal automata are a classic formal model for component-based systems that comes equipped with a rich specification theory supporting abstraction, refinement and compositional reasoning. In recent years, quantitative variants of modal…

Logic in Computer Science · Computer Science 2013-06-13 Tingting Han , Christian Krause , Marta Kwiatkowska , Holger Giese

Recent analysis of classical algorithms resulted in their axiomatization as transition systems satisfying some simple postulates, and in the formulation of the Abstract State Machine Theorem, which assures us that any classical algorithm…

Logic in Computer Science · Computer Science 2024-10-15 Andreas Blass , Nachum Dershowitz , Yuri Gurevich

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Logic in Computer Science · Computer Science 2019-03-14 David Monniaux

Timing information leakage occurs whenever an attacker successfully deduces confidential internal information by observing some timed information such as events with timestamps. Timed automata are an extension of finite-state automata with…

Logic in Computer Science · Computer Science 2023-11-01 Étienne André , Engel Lefaucheux , Didier Lime , Dylan Marinho , Jun Sun

We present a theory of automata with boundary for designing, modelling and analysing distributed systems. Notions of behaviour, design and simulation appropriate to the theory are defined. The problem of model checking for deadlock…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 R. Gates , P. Katis , N. Sabadini , R. F. C. Walters

In this work, we consider the problem of autonomously discovering behavioral abstractions, or options, for reinforcement learning agents. We propose an algorithm that focuses on the termination condition, as opposed to -- as is common --…

Artificial Intelligence · Computer Science 2019-02-27 Anna Harutyunyan , Will Dabney , Diana Borsa , Nicolas Heess , Remi Munos , Doina Precup

In networked control systems, the advent of event-triggering strategies in the sampling process has resulted in the usage reduction of network capacities, such as communication bandwidth. However, the aperiodic nature of sampling periods…

Systems and Control · Computer Science 2016-09-13 Arman Sharifi Kolarijani , Manuel Mazo , Tamas Keviczky

This paper presents a compositional approach to specification-guided abstraction refinement for control synthesis of a nonlinear system associated with a method to over-approximate its reachable sets. Given an initial coarse partition of…

Systems and Control · Computer Science 2017-12-19 Pierre-Jean Meyer , Dimos V. Dimarogonas