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Categorical semantics of type theories are often characterized as structure-preserving functors. This is because in category theory both the syntax and the domain of interpretation are uniformly treated as structured categories, so that we…

编程语言 · 计算机科学 2024-02-14 Shin-ya Katsumata , Xavier Rival , Jérémy Dubut

Human intelligence relies in part on our brains' ability to create abstract mental models that succinctly capture the hidden blueprint of our reality. Such abstract world models notably allow us to rapidly navigate novel situations by…

人工智能 · 计算机科学 2023-12-12 Quentin RV. Ferry , Joshua Ching , Takashi Kawai

Abstract interpretation is a method to automatically find invariants of programs or pieces of code whose semantics is given via least fixed-points. Up-to techniques have been introduced as enhancements of coinduction, an abstract principle…

计算机科学中的逻辑 · 计算机科学 2018-05-03 Filippo Bonchi , Pierre Ganty , Roberto Giacobazzi , Dusko Pavlovic

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

We consider a sequence of successively more restrictive definitions of abstraction for causal models, starting with a notion introduced by Rubenstein et al. (2017) called exact transformation that applies to probabilistic causal models,…

人工智能 · 计算机科学 2019-07-11 Sander Beckers , Joseph Y. Halpern

Many abstract interpretation frameworks and analyses for Prolog have been proposed, which seek to extract information useful for program optimization. Although motivated by practical considerations, notably making Prolog competitive with…

计算机科学中的逻辑 · 计算机科学 2025-06-18 Baudouin Le Charlier , Sabina Rossi , Pascal Van Hentenryck

(CROPPED TO FIT IN ARXIV'S SILLY LIMIT. SEE PDF FOR COMPLETE ABSTRACT.) We are the first to thoroughly explore a large space of formal secure compilation criteria based on robust property preservation, i.e., the preservation of properties…

编程语言 · 计算机科学 2020-11-18 Carmine Abate , Roberto Blanco , Deepak Garg , Catalin Hritcu , Marco Patrignani , Jérémy Thibault

We define robust abstractions for synthesizing provably correct and robust controllers for (possibly infinite) uncertain transition systems. It is shown that robust abstractions are sound in the sense that they preserve robust satisfaction…

系统与控制 · 计算机科学 2018-03-06 Jun Liu

We design various logics for proving hyper properties of iterative programs by application of abstract interpretation principles. In part I, we design a generic, structural, fixpoint abstract interpreter parameterized by an algebraic…

计算机科学中的逻辑 · 计算机科学 2024-11-19 Patrick Cousot , Jeffery Wang

Abstraction is the process of extracting the essential features from raw data while ignoring irrelevant details. It is well known that abstraction emerges with depth in neural networks, where deep layers capture abstract characteristics of…

机器学习 · 计算机科学 2026-03-04 Carlo Orientale Caputo , Elias Seiffert , Enrico Frausin , Matteo Marsili

In a previous paper the authors applied the Abstract Interpretation approach for approximating the probabilistic semantics of biological systems, modeled specifically using the Chemical Ground Form calculus. The methodology is based on the…

计算机科学中的逻辑 · 计算机科学 2009-12-01 Roberta Gori , Francesca Levi

Answer Set Programming (ASP) is a prominent rule-based language for knowledge representation and reasoning with roots in logic programming and non-monotonic reasoning. The aim to capture the essence of removing (ir)relevant details in ASP…

人工智能 · 计算机科学 2023-12-14 Zeynep G. Saribatur , Stefan Woltran

Hyperproperties are correctness conditions for labelled transition systems that are more expressive than traditional trace properties, with particular relevance to security. Recently, Attiya and Enea studied a notion of strong observational…

分布式、并行与集群计算 · 计算机科学 2021-08-02 John Derrick , Simon Doherty , Brijesh Dongol , Gerhard Schellhorn , Heike Wehrheim

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…

人工智能 · 计算机科学 2009-09-25 R. Bergmann , W. Wilke

The development of mechanised language specification based on structured operational semantics, with applications to verified compilers and sound program analysis, requires huge effort. General theory and frameworks have been proposed to…

编程语言 · 计算机科学 2018-11-20 Martin Bodin , Philippa Gardner , Thomas Jensen , Alan Schmitt

A key competence for open-ended learning is the formation of increasingly abstract representations useful for driving complex behavior. Abstract representations ignore specific details and facilitate generalization. Here we consider the…

机器学习 · 计算机科学 2021-09-06 Charles Wilmot , Gianluca Baldassarre , Jochen Triesch

Users of program analyses expect that results change predictably in response to changes in their programs, but many analyses fail to provide such robustness. This paper introduces a theoretical framework that provides a unified language to…

编程语言 · 计算机科学 2026-04-14 Zachary Kincaid , Shaowei Zhu

Variability models allow effective building of many custom model variants for various configurations. Lifted model checking for a variability model is capable of verifying all its variants simultaneously in a single run by exploiting the…

编程语言 · 计算机科学 2019-02-18 Aleksandar S. Dimovski , Axel Legay , Andrzej Wasowski

Abstract Interpretation approximates the semantics of a program by mimicking its concrete fixpoint computation on an abstract domain $\mathbb{A}$. The abstract (post-) fixpoint computation is classically divided into two phases: the…

编程语言 · 计算机科学 2022-06-23 Vincenzo Arceri , Isabella Mastroeni , Enea Zaffanella

Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for LF in the style of recent formulations where only canonical…

编程语言 · 计算机科学 2015-07-01 William Lovas , Frank Pfenning