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Reachability Logic is a formalism that can be used, among others, for expressing partial-correctness properties of transition systems. In this paper we present three proof systems for this formalism, all of which are sound and complete and…

Logic in Computer Science · Computer Science 2019-09-05 Vlad Rusu , David Nowak

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang

We present an algebraic view on logic programming, related to proof theory and more specifically linear logic and geometry of interaction. Within this construction, a characterization of logspace (deterministic and non-deterministic)…

Logic in Computer Science · Computer Science 2014-06-10 Clément Aubert , Marc Bagnol , Paolo Pistone , Thomas Seiller

The verification community has studied dynamic data structures primarily in a bottom-up way by analyzing pointers and the shapes induced by them. Recent work in fields such as separation logic has made significant progress in extracting…

Programming Languages · Computer Science 2014-07-10 Diego Calvanese , Tomer Kotek , Mantas Šimkus , Helmut Veith , Florian Zuleger

Runtime verification is an effective automated method for specification-based offline testing and analysis as well as online monitoring of complex systems. The specification language is often a variant of regular expressions or a popular…

Logic in Computer Science · Computer Science 2014-11-11 Ramy Medhat , Yogi Joshi , Borzoo Bonakdarpour , Sebastian Fischmeister

We prove that strong structural controllability of a pair of structural matrices $(\mathcal{A},\mathcal{B})$ can be verified in time linear in $n + r + \nu$, where $\mathcal{A}$ is square, $n$ and $r$ denote the number of columns of…

Optimization and Control · Mathematics 2016-11-18 Alexander Weber , Gunther Reissig , Ferdinand Svaricek

The reduction of Hamiltonian systems aims to build smaller reduced models, valid over a certain range of time and parameters, in order to reduce computing time. By maintaining the Hamiltonian structure in the reduced model, certain…

Numerical Analysis · Mathematics 2024-09-17 Raphaël Côte , Emmanuel Franck , Laurent Navoret , Guillaume Steimer , Vincent Vigon

The size of a data structure (i.e., the number of elements in it) is a widely used property of a data set. However, for concurrent programs, obtaining a correct size efficiently is non-trivial. In fact, the literature does not offer a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-16 Gal Sela , Erez Petrank

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

Optimal linear-time algorithms for testing the planarity of a graph are well-known for over 35 years. However, these algorithms are quite involved and recent publications still try to give simpler linear-time tests. We give a simple…

Data Structures and Algorithms · Computer Science 2012-02-23 Jens M. Schmidt

Cyclic reduction is a method for the solution of (block-)tridiagonal linear systems. In this note we review the method tailored to hermitian positive definite banded linear systems. The reviewed method has the following advantages: It is…

Numerical Analysis · Mathematics 2018-07-03 Martin Neuenhofen

This work focuses on plant leaf disease classification and explores three crucial aspects: adversarial training, model explainability, and model compression. The models' robustness against adversarial attacks is enhanced through adversarial…

Computer Vision and Pattern Recognition · Computer Science 2024-01-24 Sebastian-Vasile Echim , Iulian-Marius Tăiatu , Dumitru-Clementin Cercel , Florin Pop

It has recently been discovered that the conclusions of many highly influential econometrics studies can be overturned by removing a very small fraction of their samples (often less than $0.5\%$). These conclusions are typically based on…

Machine Learning · Computer Science 2024-10-11 Ittai Rubinstein , Samuel B. Hopkins

The lambda calculus since more than half a century is a model and foundation of functional programming languages. However, lambda expressions can be evaluated with different reduction strategies and thus, there is no fixed cost model nor…

Programming Languages · Computer Science 2024-05-22 Tomasz Drab

Proving program termination is typically done by finding a well-founded ranking function for the program states. Existing termination provers typically find ranking functions using either linear algebra or templates. As such they are often…

Logic in Computer Science · Computer Science 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

Increasing the automaticity of proofs in deductive verification of C programs is a challenging task. When applied to industrial C programs known heuristics to generate simpler verification conditions are not efficient enough. This is mainly…

Logic in Computer Science · Computer Science 2011-05-24 Jean-François Couchot , Alain Giorgetti , Nicolas Stouls

In this paper we present a novel non-parametric method of simplifying piecewise linear curves and we apply this method as a statistical approximation of structure within sequential data in the plane. We consider the problem of minimizing…

Computational Geometry · Computer Science 2012-05-31 Stephane Durocher , Alexandre Leblanc , Jason Morrison , Matthew Skala

Linear programming describes the problem of optimising a linear objective function over a set of constraints on its variables. In this paper we present a solver for linear programs implemented in the proof assistant Isabelle/HOL. This…

Logic in Computer Science · Computer Science 2024-03-29 Julian Parsert

Proving linear inequalities and identities of Shannon's information measures, possibly with linear constraints on the information measures, is an important problem in information theory. For this purpose, ITIP and other variant algorithms…

Information Theory · Computer Science 2022-02-08 Laigang Guo , Raymond W. Yeung , Xiao-Shan Gao

Network coding theory studies the transmission of information in networks whose vertices may perform nontrivial encoding and decoding operations on data as it passes through the network. The main approach to deciding the feasibility of…

Information Theory · Computer Science 2010-01-12 Anna Blasiak , Robert Kleinberg
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