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We consider the problem of computing numerical invariants of programs by abstract interpretation. Our method eschews two traditional sources of imprecision: (i) the use of widening operators for enforcing convergence within a finite number…

Programming Languages · Computer Science 2015-05-27 Thomas Martin Gawlitza , David Monniaux

Complementation of B\"uchi automata, required for checking automata containment, is of major theoretical and practical interest in formal verification. We consider two recent approaches to complementation. The first is the rank-based…

Formal Languages and Automata Theory · Computer Science 2019-08-15 Seth J. Fogarty , Orna Kupferman , Thomas Wilke , Moshe Y. Vardi

This paper constitutes a short introduction to parametric verification of concurrent systems. It originates from two 1-day tutorial sessions held at the Petri nets conferences in Toru\'n (2016) and Zaragoza (2017). The paper presents not…

Logic in Computer Science · Computer Science 2020-09-29 Étienne André , Michał Knapik , Didier Lime , Wojciech Penczek , Laure Petrucci

This work utilizes the plethora of work on verification of sequential programs for the purpose of verifying concurrent programs. We reduce the verification of a concurrent program to a series of verification tasks of sequential programs.…

Programming Languages · Computer Science 2021-06-03 Dan Rasin , Orna Grumberg , Sharon Shoham

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

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

To guarantee that machine learning models yield outputs that are not only accurate, but also robust, recent works propose formally verifying robustness properties of machine learning models. To be applicable to realistic safety-critical…

Machine Learning · Computer Science 2021-05-07 John Törnblom , Simin Nadjm-Tehrani

We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer…

Statistical Mechanics · Physics 2020-07-03 Themis Matsoukas

Given a small random sample of $n$-bit strings labeled by an unknown Boolean function, which properties of this function can be tested computationally efficiently? We show an equivalence between properties that are efficiently testable from…

Computational Complexity · Computer Science 2026-04-07 Cynthia Dwork , Pranay Tankala

Program invariants are important for defect detection, program verification, and program repair. However, existing techniques have limited support for important classes of invariants such as disjunctions, which express the semantics of…

Software Engineering · Computer Science 2019-04-17 ThanhVu Nguyen , Deepak Kapur , Westley Weimer , Stephanie Forrest

Particle filtering is a popular method for inferring latent states in stochastic dynamical systems, whose theoretical properties have been well studied in machine learning and statistics communities. In many control problems, e.g.,…

Machine Learning · Computer Science 2021-07-12 Simon S. Du , Wei Hu , Zhiyuan Li , Ruoqi Shen , Zhao Song , Jiajun Wu

This paper presents a class of new algorithms for distributed statistical estimation that exploit divide-and-conquer approach. We show that one of the key benefits of the divide-and-conquer strategy is robustness, an important…

Statistics Theory · Mathematics 2018-08-29 Stanislav Minsker , Nate Strawn

Model checking is an automatic verification technique to verify hardware and software systems. However it suffers from state-space explosion problem. In this paper we address this problem in the context of cryptographic protocols by…

Cryptography and Security · Computer Science 2009-10-22 Qurat ul Ain Nizamani , Emilio Tuosto

In group testing, the goal is to identify a subset of defective items within a larger set of items based on tests whose outcomes indicate whether at least one defective item is present. This problem is relevant in areas such as medical…

Information Theory · Computer Science 2022-10-24 Eric Price , Jonathan Scarlett , Nelvin Tan

Given an alphabet size $m\in\mathbb{N}$ thought of as a constant, and $\vec{k} = (k_1,\ldots,k_m)$ whose entries sum of up $n$, the $\vec{k}$-multi-slice is the set of vectors $x\in [m]^n$ in which each symbol $i\in [m]$ appears precisely…

Computational Complexity · Computer Science 2025-07-28 Mark Braverman , Subhash Khot , Noam Lifshitz , Dor Minzer

Efficient verification of multipartite quantum states is crucial to many applications in quantum information processing. By virtue of Schmidt decomposition and mutually unbiased bases, here we propose a universal protocol to verify…

Quantum Physics · Physics 2026-03-04 Yunting Li , Huangjun Zhu

In this paper, we investigate the parameterized complexity of model checking for Dependence Logic which is a well studied logic in the area of Team Semantics. We start with a list of nine immediate parameterizations for this problem,…

Logic in Computer Science · Computer Science 2021-09-21 Juha Kontinen , Arne Meier , Yasir Mahmood

We propose an approach for modular verification of programs written in an object-oriented language where, like in C++, the same virtual method call is bound to different methods at different points during the construction or destruction of…

Programming Languages · Computer Science 2023-07-18 Niels Mommen , Bart Jacobs

Local analysis has long been recognised as an effective tool to combat the state-space explosion problem. In this work, we propose a method that systematises the use of local analysis in the verification of deadlock freedom for concurrent…

Software Engineering · Computer Science 2022-07-20 Pedro Antonino , Augusto Sampaio , Jim Woodcock

The multinomial model is one of the simplest statistical models. When constraints are placed on the possible values for the probabilities, however, it becomes much more difficult to deal with. Model checking and checking for prior-data…

Statistics Theory · Mathematics 2018-08-22 Berthold-Georg Englert , Michael Evans , Gun Ho Jang , Hui Khoon Ng , David Nott , Yi-Lin Seah
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