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A Mathematical Benchmark for Inductive Theorem Provers 归纳定理证明者的数学基准
Pub Date : 2023-06-03 DOI: 10.29007/jr72
Thibault Gauthier, Chad Brown, Mikoláš Janota, Josef Urban
We present a benchmark of 29687 problems derived from the On-Line Encyclopedia of Integer Sequences (OEIS). Each problem expresses the equivalence of two syntactically different programs generating the same OEIS sequence. Such programs were conjectured by a learning-guided synthesis system using a language with looping operators. The operators implement recursion, and thus many of the proofs require induction on natural numbers. The benchmark contains problems of varying difficulty from a wide area of mathematical domains. We believe that these characteristics will make it an effective judge for the progress of inductive theorem provers in this domain for years to come.
我们提出了一个基于整数序列在线百科全书(OEIS)的29687个问题的基准。每个问题都表示生成相同OEIS序列的两个语法不同的程序的等价性。这样的程序是通过使用带有循环操作符的语言的学习引导综合系统推测出来的。运算符实现递归,因此许多证明需要对自然数进行归纳法。该基准包含来自广泛数学领域的不同难度的问题。我们相信,这些特征将使它成为未来几年归纳定理证明者在这一领域进展的有效判断。
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引用次数: 0
Tighter Abstract Queries in Neural Network Verification 神经网络验证中的紧密抽象查询
Pub Date : 2023-06-03 DOI: 10.29007/3mk7
Elazar Cohen, Yizhak Yisrael Elboher, Clark Barrett, Guy Katz
Neural networks have become critical components of reactive systems in various do- mains within computer science. Despite their excellent performance, using neural networks entails numerous risks that stem from our lack of ability to understand and reason about their behavior. Due to these risks, various formal methods have been proposed for verify- ing neural networks; but unfortunately, these typically struggle with scalability barriers. Recent attempts have demonstrated that abstraction-refinement approaches could play a significant role in mitigating these limitations; but these approaches can often produce net- works that are so abstract, that they become unsuitable for verification. To deal with this issue, we present CEGARETTE, a novel verification mechanism where both the system and the property are abstracted and refined simultaneously. We observe that this approach allows us to produce abstract networks which are both small and sufficiently accurate, allowing for quick verification times while avoiding a large number of refinement steps. For evaluation purposes, we implemented CEGARETTE as an extension to the recently proposed CEGAR-NN framework. Our results are highly promising, and demonstrate a significant improvement in performance over multiple benchmarks.
在计算机科学中,神经网络已成为反应系统的重要组成部分。尽管它们表现出色,但使用神经网络会带来许多风险,这些风险源于我们缺乏理解和推理它们行为的能力。由于这些风险,人们提出了各种形式的方法来验证神经网络;但不幸的是,这些通常与可伸缩性障碍作斗争。最近的尝试表明,抽象细化方法可以在减轻这些限制方面发挥重要作用;但这些方法往往会产生过于抽象的网络,以致于不适合验证。为了解决这个问题,我们提出了一种新的验证机制CEGARETTE,该机制将系统和属性同时抽象和细化。我们观察到,这种方法允许我们生成既小又足够精确的抽象网络,允许快速验证时间,同时避免大量的改进步骤。为了评估目的,我们实现了CEGARETTE作为最近提出的CEGAR-NN框架的扩展。我们的结果非常有希望,并且在多个基准测试中证明了性能的显着改进。
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引用次数: 0
Logic of Differentiable Logics: Towards a Uniform Semantics of DL 可微逻辑的逻辑:走向DL的统一语义
Pub Date : 2023-06-03 DOI: 10.29007/c1nt
Natalia Ślusarz, Ekaterina Komendantskaya, Matthew Daggitt, Robert Stewart, Kathrin Stark
Differentiable logics (DL) have recently been proposed as a method of training neural networks to satisfy logical specifications. A DL consists of a syntax in which specifications are stated and an interpretation function that translates expressions in the syntax into loss functions. These loss functions can then be used during training with standard gradient descent algorithms. The variety of existing DLs and the differing levels of formality with which they are treated makes a systematic comparative study of their properties and implementations difficult. This paper remedies this problem by suggesting a meta-language for defining DLs that we call the Logic of Differentiable Logics, or LDL. Syntactically, it generalises the syntax of existing DLs to FOL, and for the first time introduces the formalism for reasoning about vectors and learners. Semantically, it introduces a general interpretation function that can be instantiated to define loss functions arising from different existing DLs. We use LDL to establish several theoretical properties of existing DLs and to conduct their empirical study in neural network verification.
可微逻辑(DL)最近被提出作为一种训练神经网络以满足逻辑规范的方法。DL由说明规范的语法和将语法中的表达式转换为损失函数的解释函数组成。这些损失函数可以在标准梯度下降算法的训练中使用。现有dl的多样性和对待它们的不同形式级别使得对它们的特性和实现进行系统的比较研究变得困难。本文通过提出一种定义dl的元语言来解决这个问题,我们称之为可微逻辑逻辑(LDL)。在语法上,它将现有dl的语法推广到FOL,并首次引入了关于向量和学习器推理的形式化方法。在语义上,它引入了一个通用的解释函数,可以实例化该函数来定义由不同现有dl产生的损失函数。我们使用LDL建立了现有dl的几个理论性质,并在神经网络验证中进行了实证研究。
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引用次数: 0
Mining for Conserved Constituents and Quantities 挖掘守恒成分和守恒量
Pub Date : 2023-01-01 DOI: 10.29007/4cmg
Yusuke Yokota, J. Hearne
Explaining the presence or absence of transformations in nature, such as chemical or elementary particle reactions, is fundamental to our thinking about nature. This paper describes a generic approach to the search for such conserved quantities. In the work that follows we formulate a generic approach to conserved such explanations by summoning techniques from Linear Algebra.
解释自然界中变化的存在与否,比如化学反应或基本粒子反应,是我们思考自然的基础。本文描述了一种寻找此类守恒量的一般方法。在接下来的工作中,我们通过召唤线性代数中的技术来制定一种通用的方法来保守这种解释。
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引用次数: 0
OScaR RA: Finnish national reference architecture on open science and research OScaR RA:芬兰国家开放科学和研究参考架构
Pub Date : 2023-01-01 DOI: 10.29007/s49n
Ari Rouvari
Finland has decided to implement the national open science and research (OScaR) declaration, policies, and recommendations by using the enterprise architecture (EA) method. The OScaR policies drive the Open science and research field in Finland. Succeeded implementation of these policies is a critical success factor in the Open science and research field. The EA method is a tried, tested, and recognized tool for gaining digital transformation because of its important strategic and operational role in public and private sector organizations and service ecosystems. With the EA tool, OScaR policies and objectives can be described and visualized as strategy, business, information, and application architectures.EA is a holistic tool for understanding and describing the target area in different abstract layers, views, and viewpoints. It aims to serve and provide beneficial information to all stakeholders, which makes it challenging to manage. For this reason, the chief architect of the project has to be very careful with risk management and into the project have to allocate enough resources to gain an appropriate level of maturity in communication and collaboration capabilities.EA and EA problems have been studied a lot. However, in the field of open science and research, there are hardly any literature on it and no comparable EA projects in the EU. Thus the OScaR project and its deliverables could be a driver to start a discussion on the need for shared open science and research reference architecture among higher education institutions in the EU.
芬兰决定通过使用企业架构(EA)方法来实现国家开放科学与研究(OScaR)宣言、政策和建议。奥斯卡政策推动了芬兰的开放科学和研究领域。这些政策的成功实施是开放科学研究领域成功的关键因素。由于EA方法在公共和私营部门组织和服务生态系统中具有重要的战略和运营作用,因此它是一种经过尝试、测试和公认的实现数字化转型的工具。使用EA工具,OScaR策略和目标可以被描述和可视化为策略、业务、信息和应用程序体系结构。EA是一个整体工具,用于在不同的抽象层、视图和视点中理解和描述目标区域。它旨在为所有利益相关者服务并提供有益的信息,这使得管理具有挑战性。由于这个原因,项目的首席架构师必须非常小心地进行风险管理,并且必须在项目中分配足够的资源,以获得适当级别的沟通和协作能力的成熟度。EA和EA问题已经得到了大量的研究。然而,在开放科学和研究领域,几乎没有任何关于它的文献,在欧盟也没有类似的EA项目。因此,奥斯卡项目及其可交付成果可以推动在欧盟高等教育机构之间开始讨论共享开放科学和研究参考架构的必要性。
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引用次数: 0
Alternative Approach to Achieve a Solution of Derangement Problems by Dynamic Programming 用动态规划实现无序问题求解的可选方法
Pub Date : 2023-01-01 DOI: 10.29007/1j3g
Thitivatr Patanasakpinyo, Adel Sulaiman
Derangement is one well-known problem in the filed of probability theory. An in- stance of a derangement problem contains a finite collection C of n paired objects, C = {(x1 , y1 ), ..., (xn , yn )}. The derangement problem asks how many ways to gener- ate a new collection C′ ̸= C such that for each (xi,yj) ∈ C′,i ̸= j. We propose an efficient dynamic programming algorithm that divides an instance of the derangement problem into several subproblems. During a recursive process of unrolling a subproblem, there exists a repeated procedure that allows us to make a use of a subsolution that has already been computed. We present the methodology to formulate a concept of this subproblem as well as parts of designing and analyzing an efficiency of the proposed algorithm.
错乱是概率论领域中一个众所周知的问题。无序问题的一个实例包含n个配对对象的有限集合C, C = {(x1, y1),…, (xn, yn)}。无序问题要求有多少种方法生成一个新的集合C′′′,使得对于每个(xi,yj)∈C′,i′′= j。我们提出了一种有效的动态规划算法,该算法将无序问题的一个实例划分为几个子问题。在展开子问题的递归过程中,存在一个重复的过程,允许我们使用已经计算过的子解。我们给出了该子问题概念的形成方法,以及算法设计和效率分析的部分内容。
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引用次数: 0
Uncovering the particularities of the dynamical interaction between cancer-related Epithelial-Mesenchymal Transition and the Mammalian Cell Cycle: a feedback-based Boolean networks interconnection approach 揭示癌症相关上皮-间质转化与哺乳动物细胞周期之间动态相互作用的特殊性:基于反馈的布尔网络互连方法
Pub Date : 2023-01-01 DOI: 10.29007/3kx4
Luis Juarez-Ramiro, J. Dávila-Velderrain, A. Soria-López, E. Álvarez-Buylla, Juan Carlos Martínez-García
Epithelial-to-Mesenchymal Transition (EMT) plays a key role in epithelial-cancer. The state trajectory of its underlying Gene Regulatory Network (GRN) includes three fixed-point attractors characterizing epithelial, senescent, and mesenchymal, cell phenotypes, which implies specific cell-to-cell and cell-to-tissue interactions. The interplay between the GRN driving EMT and the one regulating the Mammalian Cell Cycle (MCC) influences cancer- related cell growing and proliferation. We expose the characteristics of the network arising from the interconnection of the gene regulatory networks associated to EMT and MCC. Our purpose is twofold: first, to elucidate the dynamical properties of cancer-related gene regulatory networks. Subsequently, to propose a computational methodology to address the interconnection of networks related to cancer. Our approach is based on feedback-based interconnection of networks described in discrete Boolean terms.
上皮-间充质转化(Epithelial-to-Mesenchymal Transition, EMT)在上皮癌中起着关键作用。其潜在的基因调控网络(GRN)的状态轨迹包括三个定点吸引子,表征上皮细胞、衰老细胞和间充质细胞表型,这意味着特定的细胞与细胞和细胞与组织的相互作用。驱动EMT的GRN与调节哺乳动物细胞周期(MCC)的GRN之间的相互作用影响癌症相关细胞的生长和增殖。我们揭示了与EMT和MCC相关的基因调控网络互连所产生的网络特征。我们的目的有两个:首先,阐明癌症相关基因调控网络的动力学特性。随后,提出了一种计算方法来解决与癌症相关的网络互连问题。我们的方法是基于用离散布尔项描述的基于反馈的网络互连。
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引用次数: 0
Uncovering the interdependence between hypertension and the inflammatory response for the patient affected by Covid 19 through mathematical modeling and computer-based analysis 通过数学建模和计算机分析,揭示高血压与Covid - 19患者炎症反应之间的相互依存关系
Pub Date : 2023-01-01 DOI: 10.29007/b5v4
Rosario Pacheco-Marin, Carolina Caballero-Cordero, Jorge Arturo Arciniega-González, E. Álvarez-Buylla, Juan Carlos Martínez-García
We explore here the systems-based regulatory mechanisms that determine human blood pressure patterns. This in the context of the reported negative association between hypertension and COVID-19 disease. We are particularly interested in the key role that plays angiotensin converting enzyme 2 (ACE2), one of the first identified receptors that enable the entry of the SARS-CoV-2 virus into a cell. Taking into account the two main systems involved in the regulation of blood pressure, that is, the Renin-Angiotensin system and the Kallikrein-Kinin system, we follow a Bottom-Up systems biology modeling approach in order to built the discrete Boolean model of the gene regulatory network that underlies both the typical hypertensive phenotype and the hypotensive/normotensive phenotype. These phenotypes correspond to the dynamic attractors of the regulatory network modeled on the basis of publicly available experimental information. Our model recovers the observed phenotypes and shows the key role played by the inflammatory response in the emergence of hypertension.
我们在此探讨了决定人类血压模式的基于系统的调节机制。这是在高血压与COVID-19疾病呈负相关的背景下进行的。我们对血管紧张素转换酶2 (ACE2)的关键作用特别感兴趣,ACE2是首批确定的使SARS-CoV-2病毒进入细胞的受体之一。考虑到参与血压调节的两个主要系统,即肾素-血管紧张素系统和Kallikrein-Kinin系统,我们遵循自下而上的系统生物学建模方法,以建立典型高血压表型和低血压/正常血压表型基础的基因调控网络的离散布尔模型。这些表型对应于基于公开可用的实验信息建模的调控网络的动态吸引子。我们的模型恢复了观察到的表型,并显示了炎症反应在高血压出现中发挥的关键作用。
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引用次数: 0
A Cyber Attack Simulation for Teaching Cybersecurity 网络安全教学中的网络攻击模拟
Pub Date : 2023-01-01 DOI: 10.29007/dkdw
Christopher Scherb, Luc Bryan Heitz, F. Grimberg, Hermann Grieder, Marcel Maurer
With the rising number of cyberattacks, such as ransomware attacks and cyber espionage, educating non-cybersecurity professionals to recognize threats has become more important than ever before. However, traditional training methods, such as phishing awareness campaigns, training videos and assessments have proven to be less effective over time. Therefore, it is time to rethink the approach on how to train cyber awareness. In this paper we suggest an alternative approach – a serious game – to educate awareness for common cyberattacks. While many serious games for cybersecurity education exist, all follow a very similar approach: showing people the effects of a cyber attack on their own system or company network. For example, one of the main tasks in these games is to sort out phishing mails. We developed and evaluated a new type of cybersecurity game: an attack simulator, which shows the entire setting from a different perspective. Instead of sorting out phishing mails the players should write phishing mails to trick potential victims and use other forms of cyberattacks. Our game explains the intention of each attack and shows the consequences of a successful attack. This way, we hope, players will get a better understanding on how to detect cyberattacks.
随着勒索软件攻击和网络间谍活动等网络攻击数量的增加,教育非网络安全专业人员识别威胁变得比以往任何时候都更加重要。然而,随着时间的推移,传统的培训方法,如网络钓鱼意识活动、培训视频和评估已被证明效果不佳。因此,现在是重新思考如何培养网络意识的时候了。在这篇论文中,我们提出了另一种方法——一个严肃的游戏——来教育人们对常见网络攻击的认识。虽然存在许多严肃的网络安全教育游戏,但它们都遵循非常相似的方法:向人们展示网络攻击对他们自己的系统或公司网络的影响。例如,这些游戏的主要任务之一是分类网络钓鱼邮件。我们开发并评估了一种新型的网络安全游戏:攻击模拟器,它从不同的角度展示了整个环境。玩家应该编写钓鱼邮件来欺骗潜在的受害者,并使用其他形式的网络攻击,而不是整理钓鱼邮件。我们的游戏解释了每次攻击的意图,并展示了成功攻击的后果。通过这种方式,我们希望玩家能够更好地了解如何检测网络攻击。
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引用次数: 2
Bringing HPC clusters into Science Mesh 将HPC集群引入Science Mesh
Pub Date : 2023-01-01 DOI: 10.29007/gfjd
H. Angenent, Daniel Müller, R. Vogl
Data transfers to and from High Performance Computing (HPC) clusters are a rather well established mechanism since standard Linux file transfer tools like scp and rsync can be used. Nowadays, users are not always familiar with these command-line based mechanisms and prefer more user friendly, and web based solutions. In this article we present a system to use the protocols of enterprise file sync and share systems (EFSS) for data transfers utilizing components of Science Mesh. In addition, this offers a technique to transfer data between different HPC sites without the need for commercial software or exposing the rather vulnerable port 22 to the outside world.
高性能计算(High Performance Computing, HPC)集群之间的数据传输是一种相当完善的机制,因为可以使用scp和rsync等标准Linux文件传输工具。现在,用户并不总是熟悉这些基于命令行的机制,而是更喜欢用户友好的基于web的解决方案。在这篇文章中,我们提出了一个系统,使用企业文件同步和共享系统(EFSS)的协议,利用科学网格的组件进行数据传输。此外,这提供了一种在不同HPC站点之间传输数据的技术,而不需要商业软件或将相当脆弱的端口22暴露给外部世界。
{"title":"Bringing HPC clusters into Science Mesh","authors":"H. Angenent, Daniel Müller, R. Vogl","doi":"10.29007/gfjd","DOIUrl":"https://doi.org/10.29007/gfjd","url":null,"abstract":"Data transfers to and from High Performance Computing (HPC) clusters are a rather well established mechanism since standard Linux file transfer tools like scp and rsync can be used. Nowadays, users are not always familiar with these command-line based mechanisms and prefer more user friendly, and web based solutions. In this article we present a system to use the protocols of enterprise file sync and share systems (EFSS) for data transfers utilizing components of Science Mesh. In addition, this offers a technique to transfer data between different HPC sites without the need for commercial software or exposing the rather vulnerable port 22 to the outside world.","PeriodicalId":93549,"journal":{"name":"EPiC series in computing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69432545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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EPiC series in computing
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