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While the utility of well-chosen abstractions for understanding and predicting the behaviour of complex systems is well appreciated, precisely what an abstraction $\textit{is}$ has so far has largely eluded mathematical formalization. In…

Artificial Intelligence · Computer Science 2021-06-29 Beren Millidge

Constraint logic programming combines declarativity and efficiency thanks to constraint solvers implemented for specific domains. Value withdrawal explanations have been efficiently used in several constraints programming environments but…

Software Engineering · Computer Science 2007-05-23 Willy Lesaint

Abstract interpretation, Hoare logic, and incorrectness (or reverse Hoare) logic are powerful techniques for static analysis of computer programs. All of them have been successfully extended to the quantum setting, but largely developed in…

Logic in Computer Science · Computer Science 2022-06-29 Yuan Feng , Sanjiang Li

The octagon abstract domain is a widely used numeric abstract domain expressing relational information between variables whilst being both computationally efficient and simple to implement. Each element of the domain is a system of…

Programming Languages · Computer Science 2017-11-01 Aziem Chawdhary , Ed Robbins , Andy King

Large Language Models have demonstrated remarkable progress in general-purpose capabilities and can achieve strong performance in specific domains through fine-tuning on domain-specific data. However, acquiring high-quality data for target…

Artificial Intelligence · Computer Science 2026-05-29 Tong Ye , Hang Yu , Tengfei Ma , Xuhong Zhang , Jianguo Li , Peng Di , Peiyu Liu , Jianwei Yin , Wenhai Wang

The essential step of abstraction-based control synthesis for nonlinear systems to satisfy a given specification is to obtain a finite-state abstraction of the original systems. The complexity of the abstraction is usually the dominating…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Yiming Meng , Jun Liu

Large Language Models have shown tremendous performance on a large variety of natural language processing tasks, ranging from text comprehension to common sense reasoning. However, the mechanisms responsible for this success remain opaque,…

Computation and Language · Computer Science 2024-01-04 Gaël Gendron , Qiming Bao , Michael Witbrock , Gillian Dobbie

Translating continuous control system models into finite automata allows us to use powerful discrete tools to synthesize controllers for complex specifications. The abstraction construction step is unfortunately hamstrung by high runtime…

Systems and Control · Computer Science 2018-07-27 Eric S. Kim , Murat Arcak

We develop a general framework for agent abstraction based on the situation calculus and the ConGolog agent programming language. We assume that we have a high-level specification and a low-level specification of the agent, both represented…

Logic in Computer Science · Computer Science 2024-10-22 Bita Banihashemi , Giuseppe De Giacomo , Yves Lespérance

An extension of Transformers is proposed that enables explicit relational reasoning through a novel module called the Abstractor. At the core of the Abstractor is a variant of attention called relational cross-attention. The approach is…

Machine Learning · Statistics 2024-04-16 Awni Altabaa , Taylor Webb , Jonathan Cohen , John Lafferty

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

Reasoning requires going beyond pattern matching or memorization of solutions to identify and implement "algorithmic procedures" that can be used to deduce answers to hard problems. Doing so requires realizing the most relevant primitives,…

Artificial Intelligence · Computer Science 2025-10-03 Yuxiao Qu , Anikait Singh , Yoonho Lee , Amrith Setlur , Ruslan Salakhutdinov , Chelsea Finn , Aviral Kumar

According to a mainstream position in contemporary cognitive science and philosophy, the use of abstract compositional concepts is both a necessary and a sufficient condition for the presence of genuine thought. In this article, we show how…

Machine Learning · Computer Science 2019-10-17 Katja Ried , Benjamin Eva , Thomas Müller , Hans J. Briegel

Providing plausible responses to why questions is a challenging but critical goal for language based human-machine interaction. Explanations are challenging in that they require many different forms of abstract knowledge and reasoning.…

Computation and Language · Computer Science 2019-06-05 Allen Nie , Erin D. Bennett , Noah D. Goodman

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo

We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no false alarms. This is achieved by refinement…

Programming Languages · Computer Science 2016-08-14 Bruno Blanchet , Patrick Cousot , Radhia Cousot , Jerôme Feret , Laurent Mauborgne , Antoine Miné , David Monniaux , Xavier Rival

Unsupervised domain adaptation aims at learning a shared model for two related, but not identical, domains by leveraging supervision from a source domain to an unsupervised target domain. A number of effective domain adaptation approaches…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Jinming Cao , Oren Katzir , Peng Jiang , Dani Lischinski , Danny Cohen-Or , Changhe Tu , Yangyan Li

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 is a fundamental tool for reasoning about complex systems. Program abstraction has been utilized to great effect for analyzing deterministic programs. At the heart of program abstraction is the relationship between a concrete…

Artificial Intelligence · Computer Science 2017-07-17 Steven Holtzen , Todd Millstein , Guy Van den Broeck

The requirements engineering process is a crucial stage of the software development life cycle. It involves various stakeholders from different professional backgrounds, particularly in the requirements elicitation phase. Each stakeholder…

Computation and Language · Computer Science 2020-03-31 Vaibhav Jain , Ruchika Malhotra , Sanskar Jain , Nishant Tanwar