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Formal methods for verification of programs are extended to testing of programs. Their combination is intended to lead to benefits in reliable program development, testing, and evolution. Our geometric theory of testing is intended to serve…

Software Engineering · Computer Science 2022-06-07 Bernhard Moller , Tony Hoare , Zhe Hou , Jin Song Dong

Table-based fact verification task aims to verify whether the given statement is supported by the given semi-structured table. Symbolic reasoning with logical operations plays a crucial role in this task. Existing methods leverage programs…

Artificial Intelligence · Computer Science 2021-09-15 Qi Shi , Yu Zhang , Qingyu Yin , Ting Liu

Automatic software verification tools help to find hard-to-detect faults in programs checked against specified requirements non-interactively. Besides, they can prove program correctness formally under certain assumptions. These…

Software Engineering · Computer Science 2023-09-29 Ilja Zakharov , Evgeny Novikov , Ilya Shchepetkov

Two-sample tests utilizing a similarity graph on observations are useful for high-dimensional and non-Euclidean data due to their flexibility and good performance under a wide range of alternatives. Existing works mainly focused on sparse…

Statistics Theory · Mathematics 2023-11-14 Yejiong Zhu , Hao Chen

For many types of graphs, criteria have been discovered that give necessary and sufficient conditions for an integer sequence to be the degree sequence of such a graph. These criteria tend to take the form of a set of inequalities, and in…

Combinatorics · Mathematics 2013-01-15 Jeffrey W. Miller

In this paper, we study the task of detecting the edge dependency between two weighted random graphs. We formulate this task as a simple hypothesis testing problem, where under the null hypothesis, the two observed graphs are statistically…

Machine Learning · Computer Science 2024-09-25 Mor Oren , Vered Paslev , Wasim Huleihel

In this paper we report the experience of using AutoProof to statically verify a small object oriented program. We identified the problems that emerged by this activity and we classified them according to their nature. In particular, we…

Software Engineering · Computer Science 2017-06-20 Mansur Khazeev , Victor Rivera , Manuel Mazzara , Leonard Johard

There are many techniques and tools to prove termination of C programs, but up to now these tools were not very powerful for fully automated termination proofs of programs whose termination depends on recursive data structures like lists.…

Logic in Computer Science · Computer Science 2023-06-06 Jera Hensel , Jürgen Giesl

Designing a static analysis is generally a substantial undertaking, requiring significant expertise in both program analysis and the domain of the program analysis, and significant development resources. As a result, most program analyses…

Programming Languages · Computer Science 2018-10-17 Colin S. Gordon

Correlation analysis is a fundamental problem in statistics. In this paper, we consider the correlation detection problem between a pair of Erdos-Renyi graphs. Specifically, the problem is formulated as a hypothesis testing problem: under…

Statistics Theory · Mathematics 2026-01-21 Dong Huang , Pengkun Yang

Graph generative models become increasingly effective for data distribution approximation and data augmentation. While they have aroused public concerns about their malicious misuses or misinformation broadcasts, just as what Deepfake…

Cryptography and Security · Computer Science 2023-06-14 Yihan Ma , Zhikun Zhang , Ning Yu , Xinlei He , Michael Backes , Yun Shen , Yang Zhang

This paper deals with local certification, specifically locally checkable proofs: given a graph property, the task is to certify whether a graph satisfies the property. The verification of this certification needs to be done locally without…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Laurent Feuilloley , Jan Janoušek , Jan Matyáš Křišťan , Josef Erik Sedláček

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

Logic in Computer Science · Computer Science 2024-12-10 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer , Marten Voorberg

Graph Generating Dependencies (GGDs) informally express constraints between two (possibly different) graph patterns which enforce relationships on both graph's data (via property value constraints) and its structure (via topological…

Databases · Computer Science 2022-11-02 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

We report on recent advances in rule-based graph programming, which allow us to match the time complexity of some fundamental imperative graph algorithms. In general, achieving the time complexity of graph algorithms implemented in…

Programming Languages · Computer Science 2026-05-27 Ziad Ismaili Alaoui , Detlef Plump

Graph analytics elicits insights from large graphs to inform critical decisions for business, safety and security. Several large-scale graph processing frameworks feature efficient runtime systems; however, they often provide programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Farzin Houshmand , Mohsen Lesani , Keval Vora

We address the verification problem for concurrent program that dynamically create (fork) new threads or destroy (join) existing threads. We present a reduction to the verification problem for concurrent programs with a fixed number of…

Programming Languages · Computer Science 2023-11-03 Matthias Heizmann , Dominik Klumpp , Frank Schüssele , Lars Nitzke

I will present a way to implement graph algorithms which is different from traditional methods. This work was motivated by the belief that some ideas from software engineering should be applied to graph algorithms. Re-usability of software…

Data Structures and Algorithms · Computer Science 2010-03-24 Marco Nissen

The regular models of a normal logic program are a particular type of partial (i.e. 3-valued) models which correspond to stable partial models with minimal undefinedness. In this paper, we explore graphical conditions on the dependency…

Logic in Computer Science · Computer Science 2025-02-14 Van-Giang Trinh , Belaid Benhamou , Sylvain Soliman , François Fages
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