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interpretation is a general methodology for building static analyses of programs. It was introduced by P. and R. Cousot in \cite{cc}. We present, in this paper, an application of a generic abstract interpretation to domain of…

数据结构与算法 · 计算机科学 2009-02-12 Kaninda Musumbu

Integer sequences are of central importance to the modeling of concepts admitting complete finitary descriptions. We introduce a novel view on the learning of such concepts and lay down a set of benchmarking tasks aimed at conceptual…

机器学习 · 计算机科学 2022-09-21 Peter Belcák , Ard Kastrati , Flavio Schenker , Roger Wattenhofer

Abstract separation systems provide a simple general framework in which both tree-shape and high cohesion of many combinatorial structures can be expressed, and their duality proved. Applications range from tangle-type duality and tree…

组合数学 · 数学 2017-04-19 Reinhard Diestel

In this manuscript, we investigate symbolic abstractions that capture the behavior of piecewise-affine systems under input constraints and bounded external noise. This is accomplished by considering local affine feedback controllers that…

最优化与控制 · 数学 2022-11-23 Lucas N. Egidio , Thiago Alves Lima , Raphaël M. Jungers

Generalized planning is about finding plans that solve collections of planning instances, often infinite collections, rather than single instances. Recently it has been shown how to reduce the planning problem for generalized planning to…

人工智能 · 计算机科学 2019-06-03 Blai Bonet , Raquel Fuentetaja , Yolanda E-Martin , Daniel Borrajo

The size-change abstraction (SCA) is an important program abstraction for termination analysis, which has been successfully implemented in many tools for functional and logic programs. In this paper, we demonstrate that SCA is also a highly…

编程语言 · 计算机科学 2015-03-20 Florian Zuleger , Sumit Gulwani , Moritz Sinn , Helmut Veith

Approximations during program analysis are a necessary evil, as they ensure essential properties, such as soundness and termination of the analysis, but they also imply not always producing useful results. Automatic techniques have been…

编程语言 · 计算机科学 2018-12-18 Isabel Garcia-Contreras , Jose F. Morales , Manuel V. Hermenegildo

We introduce a new framework for verifying systems with a parametric number of concurrently running processes. The systems we consider are well-structured with respect to a specific well-quasi order. This allows us to decide a wide range of…

形式语言与自动机理论 · 计算机科学 2026-03-24 Paul Eichler , Swen Jacobs , Chana Weil-Kennedy

Modelling qualitative uncertainty in formal argumentation is essential both for practical applications and theoretical understanding. Yet, most of the existing works focus on \textit{abstract} models for arguing with uncertainty. Following…

人工智能 · 计算机科学 2026-02-18 Carlo Proietti , Antonio Yuste-Ginel

Generalized planning studies the computation of general solutions for a set of planning problems. Computing general solutions with correctness guarantee has long been a key issue in generalized planning. Abstractions are widely used to…

人工智能 · 计算机科学 2022-05-25 Zhenhe Cui , Weidu Kuang , Yongmei Liu

In the setting of message passing software, De Nicola and Hennessy must-preorder defines when a program improves on another one. Since this preorder does not come equipped with a viable proof method, using it requires an alternative…

计算机科学中的逻辑 · 计算机科学 2026-05-05 Giovanni Bernardi , Hugo Férée , Gaëtan Lopez

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…

计算机科学中的逻辑 · 计算机科学 2025-06-09 Paolo Baldan , Roberto Bruni , Francesco Ranzato , Diletta Rigo

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…

计算机视觉与模式识别 · 计算机科学 2019-08-09 Umar Riaz Muhammad , Yongxin Yang , Timothy M. Hospedales , Tao Xiang , Yi-Zhe Song

This talk describes how a combination of symbolic computation techniques with first-order theorem proving can be used for solving some challenges of automating program analysis, in particular for generating and proving properties about the…

编程语言 · 计算机科学 2017-04-17 Laura Kovacs

This paper presents an abstraction-refinement method to synthesize control inputs for a discrete-time piecewise linear system. The controlled system behavior satisfies a finite-word linear-time temporal objective while incurring minimal…

最优化与控制 · 数学 2017-09-07 Yoke Peng Leong , Pavithra Prabhakar

An abstract argumentation framework can be used to model the argumentative stance of an agent at a high level of abstraction, by indicating for every pair of arguments that is being considered in a debate whether the first attacks the…

人工智能 · 计算机科学 2017-07-28 Weiwei Chen , Ulle Endriss

This paper introduces abstractions that are meaningful for computers and that can be built and used according to computers' own criteria, i.e., computable abstractions. It is analyzed how abstractions can be seen to serve as the building…

人工智能 · 计算机科学 2015-03-31 Alejandro Sanchez Guinea

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…

系统与控制 · 电气工程与系统科学 2019-09-20 Pian Yu , Dimos V. Dimarogonas

Reinforcement learning defines the problem facing agents that learn to make good decisions through action and observation alone. To be effective problem solvers, such agents must efficiently explore vast worlds, assign credit from delayed…

机器学习 · 计算机科学 2022-03-02 David Abel

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…

人工智能 · 计算机科学 2025-03-03 Nijesh Upreti , Vaishak Belle