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Abstraction-based control design is a promising approach for ensuring safety-critical control of complex cyber-physical systems. A key aspect of this methodology is the relation between the original and abstract systems, which ensures that…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Julien Calbert , Antoine Girard , Raphaël M. Jungers

We consider the problem of synthesizing programs with numerical constants that optimize a quantitative objective, such as accuracy, over a set of input-output examples. We propose a general framework for optimal synthesis of such programs…

Programming Languages · Computer Science 2026-02-17 Stephen Mell , Steve Zdancewic , Osbert Bastani

We propose an abstraction-based model checking method which relies on refinement of an under-approximation of the feasible behaviors of the system under analysis. The method preserves errors to safety properties, since all analyzed…

Computer Science and Game Theory · Computer Science 2017-01-11 Corina S. Pasareanu , Radek Pelanek , Willem Visser

Automaton models are often seen as interpretable models. Interpretability itself is not well defined: it remains unclear what interpretability means without first explicitly specifying objectives or desired attributes. In this paper, we…

Machine Learning · Statistics 2016-11-28 Christian Albert Hammerschmidt , Sicco Verwer , Qin Lin , Radu State

Abstraction is a powerful idea widely used in science, to model, reason and explain the behavior of systems in a more tractable search space, by omitting irrelevant details. While notions of abstraction have matured for deterministic…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle

A key challenge in example-based program synthesis is the gigantic search space of programs. To address this challenge, various work proposed to use abstract interpretation to prune the search space. However, most of existing approaches…

Programming Languages · Computer Science 2023-04-24 Yongho Yoon , Woosuk Lee , Kwangkeun Yi

Making a Prolog program more efficient by transforming its source code, without changing its operational semantics, is not an obvious task. It requires the user to have a clear understanding of how the Prolog compiler works, and in…

Programming Languages · Computer Science 2007-11-01 Francois Gobert , Baudouin Le Charlier

Integrating diverse formalisms into modular knowledge representation systems offers increased expressivity, modeling convenience and computational benefits. We introduce concepts of abstract modules and abstract modular systems to study…

Artificial Intelligence · Computer Science 2013-12-24 Yuliya Lierler , Miroslaw Truszczynski

Recent work by Hermanns et al. and Kattenbelt et al. has extended counterexample-guided abstraction refinement (CEGAR) to probabilistic programs. These approaches are limited to predicate abstraction. We present a novel technique, based on…

Logic in Computer Science · Computer Science 2011-06-17 Javier Esparza , Andreas Gaiser

Generating an abstraction of a dynamic domain that aligns with a given purpose remains a significant challenge given that the choice of such an abstraction can impact an agent's ability to plan, reason, and provide explanations effectively.…

Artificial Intelligence · Computer Science 2025-10-24 Bita Banihashemi , Megh Patel , Yves Lespérance

At the intersection of dynamical systems, control theory, and formal methods lies the construction of symbolic abstractions: these typically represent simpler, finite-state models whose behavior mimics that of an underlying concrete system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Rudi Coppola , Andrea Peruffo , Manuel Mazo

The Abstraction Refinement Model has been widely adopted since it was firstly proposed many decades ago. This powerful model of software evolution process brings important properties into the system under development, properties such as the…

Software Engineering · Computer Science 2022-10-28 Mohamed Toufik Ailane , Christoph Knieke , Andreas Rausch

Refinement types enable lightweight verification of functional programs. Algorithms for statically inferring refinement types typically work by reduction to solving systems of constrained Horn clauses extracted from typing derivations. An…

Programming Languages · Computer Science 2020-11-11 Zvonimir Pavlinovic , Yusen Su , Thomas Wies

Lifted (family-based) static analysis by abstract interpretation is capable of analyzing all variants of a program family simultaneously, in a single run without generating any of the variants explicitly. The elements of the underlying…

Programming Languages · Computer Science 2020-12-11 Aleksandar S. Dimovski , Sven Apel , Axel Legay

We describe a derivational approach to abstract interpretation that yields novel and transparently sound static analyses when applied to well-established abstract machines. To demonstrate the technique and support our claim, we transform…

Programming Languages · Computer Science 2010-09-09 David Van Horn , Matthew Might

Escape analysis of object-oriented languages approximates the set of objects which do not escape from a given context. If we take a method as context, the non-escaping objects can be allocated on its activation stack; if we take a thread,…

Programming Languages · Computer Science 2007-05-23 Patricia M. Hill , Fausto Spoto

Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\leq$ 6…

Systems and Control · Computer Science 2018-01-29 Felix Gruber , Eric S. Kim , Murat Arcak

Iterative abstraction refinement techniques are one of the most prominent paradigms for the analysis and verification of systems with large or infinite state spaces. This paper investigates the changes of truth values of system properties…

Logic in Computer Science · Computer Science 2026-01-14 Jakob Piribauer , Vinzent Zschuppe

Abstractive text summarization aims at compressing the information of a long source document into a rephrased, condensed summary. Despite advances in modeling techniques, abstractive summarization models still suffer from several key…

Computation and Language · Computer Science 2021-02-17 Vidhisha Balachandran , Artidoro Pagnoni , Jay Yoon Lee , Dheeraj Rajagopal , Jaime Carbonell , Yulia Tsvetkov

Abstractive neural summarization models have seen great improvements in recent years, as shown by ROUGE scores of the generated summaries. But despite these improved metrics, there is limited understanding of the strategies different models…

Computation and Language · Computer Science 2021-06-04 Matt Wilber , William Timkey , Marten Van Schijndel
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