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We give a new characterization of elementary and deterministic polynomial time computation in linear logic through the proofs-as-programs correspondence. Girard's seminal results, concerning elementary and light linear logic, achieve this…

Logic in Computer Science · Computer Science 2012-07-17 Patrick Baillot , Damiano Mazza

Verifying specifications for large-scale control systems is of utmost importance, but can be hard in practice as most formal verification methods can not handle high-dimensional dynamics. Contract theory has been proposed as a modular…

Systems and Control · Electrical Eng. & Systems 2021-11-03 Miel Sharf , Bart Besselink , Karl Henrik Johansson

Many state-of-the-art delineation methods rely on supervised machine learning algorithms. As a result, they require manually annotated training data, which is tedious to obtain. Furthermore, even minor classification errors may…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Agata Mosinska , Jakub Tarnawski , Pascal Fua

We study the linearizability monitoring problem, which asks whether a given concurrent history of a data structure is equivalent to some sequential execution of the same data structure. In general, this problem is $\textsf{NP}$-hard, even…

Programming Languages · Computer Science 2026-05-26 Lee Zheng Han , Umang Mathur

Linear codes play a central role in coding theory and have applications in several branches of mathematics. For error correction purposes the minimum Hamming distance should be as large as possible. Linear codes related to applications in…

Information Theory · Computer Science 2025-02-19 Sascha Kurz

In this paper we examine multi-objective linear programming problems in the face of data uncertainty both in the objective function and the constraints. First, we derive a formula for radius of robust feasibility guaranteeing constraint…

Optimization and Control · Mathematics 2014-02-14 M. A. Goberna , V. Jeyakumar , G. Li , J. Vicente-Pérez

Bounded verification has proved useful to detect bugs and to increase confidence in the correctness of a program. In contrast to unbounded verification, reasoning about calls via (bounded) inlining and about loops via (bounded) unrolling…

Logic in Computer Science · Computer Science 2023-03-14 Thibault Dardinier , Gaurav Parthasarathy , Peter Müller

Formal explainability guarantees the rigor of computed explanations, and so it is paramount in domains where rigor is critical, including those deemed high-risk. Unfortunately, since its inception formal explainability has been hampered by…

Artificial Intelligence · Computer Science 2024-12-04 Xuanxiang Huang , Joao Marques-Silva

Atomistic or ab-initio molecular dynamics simulations are widely used to predict thermodynamics and kinetics and relate them to molecular structure. A common approach to go beyond the time- and length-scales accessible with such…

Detection of crystal structures from particle positions of crystalline assemblies formed in computer simulations is an unsolved problem. The standard protocol, formulated in the reciprocal space, for structure determination from…

Materials Science · Physics 2025-04-29 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

We develop a method for the efficient verification of neural networks against convolutional perturbations such as blurring or sharpening. To define input perturbations we use well-known camera shake, box blur and sharpen kernels. We…

Machine Learning · Computer Science 2025-02-19 Benedikt Brückner , Alessio Lomuscio

Nonlinear optimization methods are typically iterative and make use of gradient information to determine a direction of improvement and function information to effectively check for progress. When this information is corrupted by noise,…

Optimization and Control · Mathematics 2025-10-21 Albert S. Berahas , Michael J. O'Neill , Clément W. Royer

Linear superiorization considers linear programming problems but instead of attempting to solve them with linear optimization methods it employs perturbation resilient feasibility-seeking algorithms and steers them toward reduced (not…

Optimization and Control · Mathematics 2017-04-05 Yair Censor

Proving linearizability of concurrent data structures remains a key challenge for verification. We present temporal interpolation as a new proof principle to conduct such proofs using hindsight arguments within concurrent separation logic.…

Programming Languages · Computer Science 2023-04-25 Roland Meyer , Thomas Wies , Sebastian Wolff

On the one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we…

Programming Languages · Computer Science 2009-01-10 Etienne Payet , Fred Mesnard

While Chain-of-Thought (CoT) prompting enhances the reasoning capabilities of large language models, the faithfulness of the generated rationales remains an open problem for model interpretability. We propose a novel theoretical lens for…

Artificial Intelligence · Computer Science 2025-10-02 Elija Perrier

Weak memory models specify the semantics of concurrent programs on multi-core architectures. Reasoning techniques for weak memory models are often specialized to one fixed model and verification results are hence not transferable to other…

Logic in Computer Science · Computer Science 2023-09-07 Lara Bargmann , Heike Wehrheim

Prior work on neural network verification has focused on specifications that are linear functions of the output of the network, e.g., invariance of the classifier output under adversarial perturbations of the input. In this paper, we extend…

Rely-guarantee (RG) logic uses thread interference specifications (relies and guarantees) to reason about the correctness of multithreaded software. Unfortunately, RG logic requires each function postcondition to be "stabilized" or…

Programming Languages · Computer Science 2024-07-15 Cormac Flanagan , Stephen N. Freund

There has been a lot of recent interest in mining patterns from graphs. Often, the exact structure of the patterns of interest is not known. This happens, for example, when molecular structures are mined to discover fragments useful as…

Data Structures and Algorithms · Computer Science 2007-05-23 Pavel Dmitriev , Carl Lagoze