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In this paper, our aim is to propose a model for code abstraction, based on abstract interpretation, allowing us to improve the precision of a recently proposed static analysis by abstract interpretation of dynamic languages. The problem we…

Software Engineering · Computer Science 2021-09-08 Isabella Mastroeni , Vincenzo Arceri

In this work, we propose a data-driven approach for the construction of finite abstractions (a.k.a., symbolic models) for discrete-time deterministic control systems with unknown dynamics. We leverage notions of so-called alternating…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Abolfazl Lavaei , Emilio Frazzoli

Symbolic control techniques aim to satisfy complex logic specifications. A critical step in these techniques is the construction of a symbolic (discrete) abstraction, a finite-state system whose behaviour mimics that of a given…

Artificial Intelligence · Computer Science 2021-04-29 Alex Devonport , Adnane Saoud , Murat Arcak

Discrete abstractions have become a standard approach to assist control synthesis under complex specifications. Most techniques for the construction of discrete abstractions are based on sampling of both the state and time spaces, which may…

Systems and Control · Electrical Eng. & Systems 2019-09-20 Pian Yu , Dimos V. Dimarogonas

In this report, we aim at the development of an online abstraction framework for multi-agent systems under coupled constraints. The motion capabilities of each agent are abstracted through a finite state transition system in order to…

Optimization and Control · Mathematics 2016-11-10 Dimitris Boskos , Dimos V. Dimarogonas

In this work, we introduce a compositional framework for the construction of finite abstractions (a.k.a. symbolic models) of interconnected discrete-time control systems. The compositional scheme is based on the joint dissipativity-type…

Systems and Control · Computer Science 2017-10-17 Abdalla Swikir , Antoine Girard , Majid Zamani

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

We present a lazy version of multi-layered abstraction-based controller synthesis (ABCS) for continuous-time nonlinear dynamical systems against safety specifications. State-of-the-art multi-layered ABCS uses pre-computed finite-state…

Systems and Control · Computer Science 2019-07-29 Kyle Hsu , Rupak Majumdar , Kaushik Mallik , Anne-Kathrin Schmuck

We propose a memory abstraction able to lift existing numerical static analyses to C programs containing union types, pointer casts, and arbitrary pointer arithmetics. Our framework is that of a combined points-to and data-value analysis.…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

ASP programs are a convenient tool for problem solving, whereas with large problem instances the size of the state space can be prohibitive. We consider abstraction as a means of over-approximation and introduce a method to automatically…

Logic in Computer Science · Computer Science 2018-09-19 Zeynep G. Saribatur , Thomas Eiter

In this paper, we consider the problem of synthesizing correct-by-construction controllers for discrete-time dynamical systems. A commonly adopted approach in the literature is to abstract the dynamical system into a Finite Transition…

Systems and Control · Computer Science 2016-11-17 Robert Mattila , Yilin Mo , Richard M. Murray

Abstract interpretation offers a powerful toolset for static analysis, tackling precision, complexity and state-explosion issues. In the literature, state partitioning abstractions based on (bi)simulation and property-preserving state…

Logic in Computer Science · Computer Science 2025-06-09 Paolo Baldan , Roberto Bruni , Francesco Ranzato , Diletta Rigo

ion is one of the most promising approaches to improve the performance of problem solvers. In several domains abstraction by dropping sentences of a domain description -- as used in most hierarchical planners -- has proven useful. In this…

Artificial Intelligence · Computer Science 2009-09-25 R. Bergmann , W. Wilke

This paper proposes a transition system abstraction framework for neural network dynamical system models to enhance the model interpretability, with applications to complex dynamical systems such as human behavior learning and verification.…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Yejiang Yang , Zihao Mo , Hoang-Dung Tran , Weiming Xiang

This paper provides a formal and practical framework for sound abstraction of probabilistic actions. We start by precisely defining the concept of sound abstraction within the context of finite-horizon planning (where each plan is a finite…

Artificial Intelligence · Computer Science 2013-02-18 AnHai Doan , Peter Haddawy

Abstraction-based techniques are an attractive approach for synthesizing correct-by-construction controllers to satisfy high-level temporal requirements. A main bottleneck for successful application of these techniques is the memory…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani

We propose a sample-based, sequential method to abstract a (potentially black-box) dynamical system with a sequence of memory-dependent Markov chains of increasing size. We show that this approximation allows to alleviating a correlation…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Adrien Banse , Licio Romao , Alessandro Abate , Raphaël M. Jungers

Many example-guided program synthesis techniques use abstractions to prune the search space. While abstraction-based synthesis has proven to be very powerful, a domain expert needs to provide a suitable abstract domain, together with the…

Programming Languages · Computer Science 2018-04-13 Xinyu Wang , Greg Anderson , Isil Dillig , K. L. McMillan

We consider a compositional construction of approximate abstractions of interconnected control systems. In our framework, an abstraction acts as a substitute in the controller design process and is itself a continuous control system. The…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Majid Zamani

Markov automata combine continuous time, probabilistic transitions, and nondeterminism in a single model. They represent an important and powerful way to model a wide range of complex real-life systems. However, such models tend to be large…

Logic in Computer Science · Computer Science 2014-06-10 Bettina Braitling , Luis María Ferrer Fioriti , Hassan Hatefi , Ralf Wimmer , Bernd Becker , Holger Hermanns
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