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This paper addresses the problem of checking invariant properties for a large class of symbolic transition systems, defined by a combination of SMT theories and quantifiers. State variables can be functions from an uninterpreted sort…

Logic in Computer Science · Computer Science 2024-03-01 Gianluca Redondi , Alessandro Cimatti , Alberto Griggio , Kenneth McMillan

For every $c\geq 1$, we define a strengthening of Kazhdan's Property (T) by considering uniformly bounded representations $\pi$ with fixed bound $|\pi|\leq c$. We carry out a systematic study of this property and show that it can be…

Group Theory · Mathematics 2023-08-31 Ignacio Vergara

We show that the tensor product of two random linear codes is robustly testable with high probability. This implies that one can obtain pairs of linear codes such that their product and the product of their dual codes are simultaneously…

Information Theory · Computer Science 2023-08-11 Gleb Kalachev , Pavel Panteleev

Items in a test are often used as a basis for making decisions and such tests are therefore required to have good psychometric properties, like unidimensionality. In many cases the sum score is used in combination with a threshold to decide…

Methodology · Statistics 2020-07-14 Lourens Waldorp , Maarten Marsman , Denny Borsboom

The goal in the area of functions property testing is to determine whether a given black-box Boolean function has a particular given property or is $\varepsilon$-far from having that property. We investigate here several types of properties…

Quantum Physics · Physics 2023-06-22 Zhengwei Xie , Daowen Qiu , Guangya Cai , Jozef Gruska , Paulo Mateus

We propose to extend property-based testing to substructural logics to overcome the current lack of reasoning tools in the field. We take the first step by implementing a property-based testing system for specifications written in the…

Logic in Computer Science · Computer Science 2021-08-04 Marco Mantovani , Alberto Momigliano

Since the topic emerged several years ago, work on regular model checking has mostly been devoted to the verification of state reachability and safety properties. Though it was known that linear temporal properties could also be checked…

Logic in Computer Science · Computer Science 2009-01-27 Ahmed Bouajjani , Axel Legay , Pierre Wolper

Hyperproperties are properties of systems that relate multiple computation traces, including security and concurrency properties. This paper introduces a bounded model checking (BMC) algorithm for hyperproperties expressed in HyperLTL,…

Formal Languages and Automata Theory · Computer Science 2020-10-19 Tzu-Han Hsu , Cesar Sanchez , Borzoo Bonakdarpour

We initiate the study of quantum property testing in sparse directed graphs, and more particularly in the unidirectional model, where the algorithm is allowed to query only the outgoing edges of a vertex. In the classical unidirectional…

Quantum Physics · Physics 2025-11-27 Simon Apers , Frédéric Magniez , Sayantan Sen , Dániel Szabó

We consider linear models with scalar responses and covariates from a separable Hilbert space. The aim is to detect change points in the error distribution, based on sequential residual empirical distribution functions. Expansions for those…

Statistics Theory · Mathematics 2024-11-08 Natalie Neumeyer , Leonie Selk

The Bell inequality is thought to be a common constraint shared by all models of local hidden variables that aim to describe the entangled states of two qubits. Since the inequality is violated by the quantum mechanical description of these…

General Physics · Physics 2020-08-05 David H. Oaknin

The problem of detecting changes in covariance for a single pair of features has been studied in some detail, but may be limited in importance or general applicability. In contrast, testing equality of covariance matrices of a {\it set} of…

Methodology · Statistics 2017-12-12 Yi-Hui Zhou

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

Systems and Control · Computer Science 2012-06-05 Corentin Briat

For given Boolean algebras $\mathbb{A}$ and $\mathbb{B}$ we endow the space $\mathcal{H}(\mathbb{A},\mathbb{B})$ of all Boolean homomorphisms from $\mathbb{A}$ to $\mathbb{B}$ with various topologies and study convergence properties of…

Logic · Mathematics 2021-01-05 Piotr Borodulin-Nadzieja , Damian Sobota

In this paper, we consider the problem of testing properties of joint distributions under the Conditional Sampling framework. In the standard sampling model, the sample complexity of testing properties of joint distributions is exponential…

Computational Complexity · Computer Science 2022-08-03 Rishiraj Bhattacharyya , Sourav Chakraborty

One of the most fundamental questions in graph property testing is to characterize the combinatorial structure of properties that are testable with a constant number of queries. We work towards an answer to this question for the…

Data Structures and Algorithms · Computer Science 2018-11-08 Hendrik Fichtenberger , Pan Peng , Christian Sohler

Linear relations, containing measurement errors in input and output data, are considered. Parameters of these so-called errors-in-variables models can change at some unknown moment. The aim is to test whether such an unknown change has…

Statistics Theory · Mathematics 2020-01-22 Michal Pešta

The invariance properties of certain likelihood-based asymptotic tests as well as their extensions for M-estimation, estimating functions and the generalized method of moments have been well studied. The simulation study reported in Crudu…

Statistics Theory · Mathematics 2026-02-06 Angelo Garate , Felipe Osorio , Federico Crudu

Understanding statistical inference under possibly non-sparse high-dimensional models has gained much interest recently. For a given component of the regression coefficient, we show that the difficulty of the problem depends on the sparsity…

Statistics Theory · Mathematics 2022-08-22 Jelena Bradic , Jianqing Fan , Yinchu Zhu

This paper addresses the computational problem of deciding invertibility (or one to one-ness) of a Boolean map $F$ in $n$-Boolean variables. This problem is a special case of deciding invertibilty of a map…

Symbolic Computation · Computer Science 2025-09-10 Virendra Sule