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Verification of software systems is a very hard problem due to the large size of program state-space. The traditional techniques (like model checking) do not scale; since they include the whole state-space by inlining the library function…

Logic in Computer Science · Computer Science 2010-05-03 Pritam Roy

We present lightweight and generic symbolic methods to improve the precison of numerical static analyses based on Abstract Interpretation. The main idea is to simplify numerical expressions before they are fed to abstract transfer…

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

Quite often, verification tasks for distributed systems are accomplished via counter abstractions. Such abstractions can sometimes be justified via simulations and bisimulations. In this work, we supply logical foundations to this practice,…

Logic in Computer Science · Computer Science 2017-12-06 Silvio Ghilardi , Elena Pagani

We introduce a new method, combination of random testing and abstract interpretation, for the analysis of programs featuring both probabilistic and non-probabilistic nondeterminism. After introducing "ordinary" testing, we show how to…

Programming Languages · Computer Science 2007-05-23 David Monniaux

The analysis and control of stochastic dynamical systems rely on probabilistic models such as (continuous-space) Markov decision processes, but large or continuous state spaces make exact analysis intractable and call for principled…

Logic in Computer Science · Computer Science 2026-03-13 Nivar Anwer , Ezequiel López-Rubio , David Elizondo , Rafael M. Luque-Baena

The automated synthesis of control policies for stochastic dynamical systems presents significant challenges. A standard approach is to construct a finite-state abstraction of the continuous system, typically represented as a Markov…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Mahdi Nazeri , Thom Badings , Sadegh Soudjani , Alessandro Abate

The technique of abstracting abstract machines (AAM) provides a systematic approach for deriving computable approximations of evaluators that are easily proved sound. This article contributes a complementary step-by-step process for…

Programming Languages · Computer Science 2013-07-25 J. Ian Johnson , Nicholas Labich , Matthew Might , David Van Horn

An abstraction can be used to relate two structural causal models representing the same system at different levels of resolution. Learning abstractions which guarantee consistency with respect to interventional distributions would allow one…

Artificial Intelligence · Computer Science 2023-05-09 Fabio Massimo Zennaro , Máté Drávucz , Geanina Apachitei , W. Dhammika Widanage , Theodoros Damoulas

Abstraction is essential for reducing the complexity of systems across diverse fields, yet designing effective abstraction methodology for probabilistic models is inherently challenging due to stochastic behaviors and uncertainties. Current…

Artificial Intelligence · Computer Science 2025-03-03 Nijesh Upreti , Vaishak Belle

In this paper, we focus on the two tasks of 3D shape abstraction and semantic analysis. This is in contrast to current methods, which focus solely on either 3D shape abstraction or semantic analysis. In addition, previous methods have had…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Haiyue Fang , Xiaogang Wang , Zheyuan Cai , Yahao Shi , Xun Sun , Shilin Wu , Bin Zhou

In this paper, we introduce a compositional method for the construction of finite abstractions of interconnected discrete-time switched systems. Particularly, we use a notion of so-called alternating simulation function as a relation…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Abdalla Swikir , Majid Zamani

To effectively study complex causal systems, it is often useful to construct abstractions of parts of the system by discarding irrelevant details while preserving key features. The Information Bottleneck (IB) method is a widely used…

Machine Learning · Computer Science 2025-06-12 Francisco N. F. Q. Simoes , Mehdi Dastani , Thijs van Ommen

Many researchers have explored methods for hierarchical reinforcement learning (RL) with temporal abstractions, in which abstract actions are defined that can perform many primitive actions before terminating. However, little is known about…

Machine Learning · Computer Science 2007-05-23 Thomas G. Dietterich

Abstraction is a desirable capability for deep learning models, which means to induce abstract concepts from concrete instances and flexibly apply them beyond the learning context. At the same time, there is a lack of clear understanding…

Machine Learning · Computer Science 2023-02-24 Shengnan An , Zeqi Lin , Bei Chen , Qiang Fu , Nanning Zheng , Jian-Guang Lou

Markov decision processes are a ubiquitous formalism for modelling systems with non-deterministic and probabilistic behavior. Verification of these models is subject to the famous state space explosion problem. We alleviate this problem by…

Artificial Intelligence · Computer Science 2022-06-07 Sebastian Junges , Matthijs T. J. Spaan

Like with most large-scale systems, the evaluation of quantitative properties of collective adaptive systems is an important issue that crosscuts all its development stages, from design (in the case of engineered systems) to runtime…

Systems and Control · Computer Science 2016-07-12 Mirco Tribastone

The use of formal analysis tools on models or source code often requires the availability of auxiliary invariants about the studied system. Abstract interpretation is currently one of the best approaches to discover useful invariants,…

Logic in Computer Science · Computer Science 2015-03-20 Pierre-Loïc Garoche , Temesghen Kahsai , Cesare Tinelli

We present a new active model-learning approach to generating abstractions of a system implementation, as finite state automata (FSAs), from execution traces. Given an implementation and a set of observable system variables, the generated…

Formal Languages and Automata Theory · Computer Science 2021-12-15 Natasha Yogananda Jeppu , Tom Melham , Daniel Kroening

Abstractive text summarization aims to shorten long text documents into a human readable form that contains the most important facts from the original document. However, the level of actual abstraction as measured by novel phrases that do…

Computation and Language · Computer Science 2018-08-27 Wojciech Kryściński , Romain Paulus , Caiming Xiong , Richard Socher

Over the recent twenty years, argumentation has received considerable attention in the fields of knowledge representation, reasoning, and multi-agent systems. However, argumentation in dynamic multi-agent systems encounters the problem of…

Artificial Intelligence · Computer Science 2022-11-30 Minal Suresh Patil
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