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Probabilistic abstract interpretation is a theory used to extract particular properties of a computer program when it is infeasible to test every single inputs. In this paper we apply the theory on neural networks for the same purpose: to…

Artificial Intelligence · Computer Science 2026-03-27 Zhuofan Zhang , Herbert Wiklicky

Mechanistic interpretability aims to reverse engineer the computation performed by a neural network in terms of its internal components. Although there is a growing body of research on mechanistic interpretation of neural networks, the…

Machine Learning · Computer Science 2025-06-24 Nils Palumbo , Ravi Mangal , Zifan Wang , Saranya Vijayakumar , Corina S. Pasareanu , Somesh Jha

In this paper we show that reversible analysis of logic languages by abstract interpretation can be performed without loss of precision by systematically refining abstract domains. The idea is to include semantic structures into abstract…

Programming Languages · Computer Science 2007-05-23 R. Giacobazzi , F. Ranzato , F. Scozzari

In this paper, we develop a framework for path-planning on abstractions that are not provided to the agent a priori but instead emerge as a function of the available computational resources. We show how a path-planning problem in an…

Robotics · Computer Science 2021-07-29 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

Alternation of forward and backward analyses is a standard technique in abstract interpretation of programs, which is in particular useful when we wish to prove unreachability of some undesired program states. The current state-of-the-art…

Programming Languages · Computer Science 2017-08-08 Alexey Bakhirkin , David Monniaux

Programmability, performance portability, and resource efficiency have emerged as critical challenges in harnessing complex and diverse architectures today to obtain high performance and energy efficiency. While there is abundant research,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-14 Nandita Vijaykumar

Despite significant advancements in post-hoc explainability techniques for neural networks, many current methods rely on heuristics and do not provide formally provable guarantees over the explanations provided. Recent work has shown that…

Machine Learning · Computer Science 2025-06-11 Shahaf Bassan , Yizhak Yisrael Elboher , Tobias Ladner , Matthias Althoff , Guy Katz

There is a vast gap in the quality of IDE tooling between static languages like Java and dynamic languages like Python or JavaScript. Modern frameworks and libraries in these languages heavily use their dynamic capabilities to achieve the…

Programming Languages · Computer Science 2024-02-01 Franciszek Piszcz

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

Large language models (LLMs) are increasingly used for program verification, and yet little is known about \emph{how} they reason about program semantics during this process. In this work, we focus on abstract interpretation based-reasoning…

Machine Learning · Computer Science 2025-10-01 Jacqueline L. Mitchell , Brian Hyeongseok Kim , Chenyu Zhou , Chao Wang

The study of causal abstractions bridges two integral components of human intelligence: the ability to determine cause and effect, and the ability to interpret complex patterns into abstract concepts. Formally, causal abstraction frameworks…

Machine Learning · Computer Science 2025-09-29 Kevin Xia , Elias Bareinboim

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

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

Abstract argumentation offers an appealing way of representing and evaluating arguments and counterarguments. This approach can be enhanced by a probability assignment to each argument. There are various interpretations that can be ascribed…

Artificial Intelligence · Computer Science 2014-05-15 Anthony Hunter , Matthias Thimm

Explanations of cognitive behavior often appeal to computations over representations. What does it take for a system to implement a given computation over suitable representational vehicles within that system? We argue that the language of…

Machine Learning · Computer Science 2025-08-18 Atticus Geiger , Jacqueline Harding , Thomas Icard

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…

Logic in Computer Science · Computer Science 2018-05-03 Filippo Bonchi , Pierre Ganty , Roberto Giacobazzi , Dusko Pavlovic

The strength of a dynamic language is also its weakness: run-time flexibility comes at the cost of compile-time predictability. Many of the hallmarks of dynamic languages such as closures, continuations, various forms of reflection, and a…

Programming Languages · Computer Science 2014-08-18 J. Ian Johnson , David Van Horn

Strong inductive biases give humans the ability to quickly learn to perform a variety of tasks. Although meta-learning is a method to endow neural networks with useful inductive biases, agents trained by meta-learning may sometimes acquire…

Recent advances in the field of abstractive summarization leverage pre-trained language models rather than train a model from scratch. However, such models are sluggish to train and accompanied by a massive overhead. Researchers have…

Computation and Language · Computer Science 2022-09-01 Zheng Zhao , Pinzhen Chen

Mechanistic interpretability aims to reverse engineer neural networks by uncovering which high-level algorithms they implement. Causal abstraction provides a precise notion of when a network implements an algorithm, i.e., a causal model of…

Machine Learning · Computer Science 2025-03-17 Theodora-Mara Pîslar , Sara Magliacane , Atticus Geiger