Journal of Logical and Algebraic Methods in Programming最新文献_第5页

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-05-09 DOI: 10.1016/j.jlamp.2024.100971

Andoni Rodríguez , César Sánchez

{"title":"Realizability modulo theories","authors":"Andoni Rodríguez , César Sánchez","doi":"10.1016/j.jlamp.2024.100971","DOIUrl":"10.1016/j.jlamp.2024.100971","url":null,"abstract":"<div><p>In this paper we study the problem of realizability of reactive specifications written in <span><math><msub><mrow><mi>LTL</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span>, which is the extension of LTL where atomic propositions can be literals from a first-order theory, including arithmetic theories. We present a solution based on transforming <span><math><msub><mrow><mi>LTL</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span> specifications into purely Boolean specifications by (1) substituting theory literals by Boolean variables, and (2) computing an additional Boolean formula that captures the dependencies between the new variables imposed by the literals. We prove that the resulting specification is realizable if and only if the original specification is realizable. Moreover, the resulting specification can be passed to existing Boolean off-the-shelf synthesis and realizability tools, which can handle only Boolean LTL specifications.</p><p>A second contribution is to prove that <span><math><msub><mrow><mi>LTL</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span> realizability of theories with a decidable <span><math><msup><mrow><mo>∃</mo></mrow><mrow><mo>⁎</mo></mrow></msup><msup><mrow><mo>∀</mo></mrow><mrow><mo>⁎</mo></mrow></msup></math></span> fragment is decidable for all combinations of LTL temporal modalities. We present a simple version of our method, which relies on SMT solving, and performs a brute-force search to construct the “extra requirement”. A third contribution is an algorithm that checks whether a candidate is a correct <em>Booleanization</em> in non-Boolean LTL realizability.</p></div>","PeriodicalId":48797,"journal":{"name":"Journal of Logical and Algebraic Methods in Programming","volume":"140 ","pages":"Article 100971"},"PeriodicalIF":0.9,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141054141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Determinism of multirelations 多重关系的决定论

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-05-08 DOI: 10.1016/j.jlamp.2024.100976

Hitoshi Furusawa , Walter Guttmann , Georg Struth

{"title":"Determinism of multirelations","authors":"Hitoshi Furusawa , Walter Guttmann , Georg Struth","doi":"10.1016/j.jlamp.2024.100976","DOIUrl":"10.1016/j.jlamp.2024.100976","url":null,"abstract":"<div><p>Binary multirelations allow modelling alternating nondeterminism, for instance, in games or nondeterministically evolving systems interacting with an environment. Such systems can show partial or total functional behaviour at both levels of alternation, so that nondeterministic behaviour may occur only at one level or both levels, or not at all. We study classes of inner and outer partial and total functional multirelations in a multirelational language based on relation algebra and power allegories. While it is known that general multirelations do not form a category, we show in the multirelational language that the classes of deterministic multirelations mentioned form categories with respect to Peleg composition from concurrent dynamic logic, and sometimes quantaloids. Some of these categories are isomorphic to the category of binary relations. We also introduce determinisation maps that approximate multirelations either by binary relations or by deterministic multirelations. Such maps are useful for defining modal operators on multirelations.</p></div>","PeriodicalId":48797,"journal":{"name":"Journal of Logical and Algebraic Methods in Programming","volume":"139 ","pages":"Article 100976"},"PeriodicalIF":0.9,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2352220824000300/pdfft?md5=b0bbae83b171bd8e2197a34c294926eb&pid=1-s2.0-S2352220824000300-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141060560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The generalised distribution semantics and projective families of distributions 广义分布语义和分布的投影族

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-05-07 DOI: 10.1016/j.jlamp.2024.100975

Felix Weitkämper

引用次数: 0

Preface to selected papers from 20th Workshop on Programming and Languages (PROLE 2021) 第 20 届编程与语言研讨会（PROLE 2021）论文选序言

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-05-07 DOI: 10.1016/j.jlamp.2024.100974

Narciso Martí-Oliet

引用次数: 0

A framework for formal verification of robot kinematics 机器人运动学形式化验证框架

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-04-29 DOI: 10.1016/j.jlamp.2024.100972

Guojun Xie , Huanhuan Yang , Gang Chen

{"title":"A framework for formal verification of robot kinematics","authors":"Guojun Xie , Huanhuan Yang , Gang Chen","doi":"10.1016/j.jlamp.2024.100972","DOIUrl":"https://doi.org/10.1016/j.jlamp.2024.100972","url":null,"abstract":"<div><p>As robotic applications continue to expand and task complexity increases, the adoption of more advanced and sophisticated control algorithms and models becomes critical. Traditional methods, relying on manual abstraction and modeling to verify these algorithms and models, may not fully encompass all potential design paths, leading to incomplete models, design defects, and increased vulnerability to security risks. The verification of control systems using formal methods is crucial for ensuring the safety of robots. This paper introduces a formal verification framework for robot kinematics implemented in Coq. It constructs a formal proof for the theory of robot motion and control algorithms, specifically focusing on the theory of robot kinematics, which includes the homogeneous representation of robot coordinates and the transformation relations between different coordinate systems. Subsequently, we provide formal definitions and verification for several commonly used structural robots, along with their coordinate transformation algorithms. Finally, we extract the Coq code, convert the functional algorithms into OCaml code, and perform data validation using various examples. It is worth emphasizing that the framework we have built possesses a high level of reusability, providing a solid technological foundation for the development of kinematics theorem libraries.</p></div>","PeriodicalId":48797,"journal":{"name":"Journal of Logical and Algebraic Methods in Programming","volume":"139 ","pages":"Article 100972"},"PeriodicalIF":0.9,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140946872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An algebraic approach to simulation and verification for cyber-physical systems with shared-variable concurrency 用代数方法模拟和验证具有共享变量并发性的网络物理系统

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-04-26 DOI: 10.1016/j.jlamp.2024.100973

Ran Li , Huibiao Zhu , Richard Banach

{"title":"An algebraic approach to simulation and verification for cyber-physical systems with shared-variable concurrency","authors":"Ran Li , Huibiao Zhu , Richard Banach","doi":"10.1016/j.jlamp.2024.100973","DOIUrl":"https://doi.org/10.1016/j.jlamp.2024.100973","url":null,"abstract":"<div><p>Cyber-Physical systems (CPS), containing discrete behaviors of the cyber and continuous behaviors of the physical, have gained wide applications in many fields. Since CPS subsume the intersection of cyber systems and physical processes, the traditional modeling languages which merely include discrete variables are no longer applicable to CPS. Accordingly, a shared variable language called <em>CPSL</em><span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span> was proposed to specify CPS. In this paper, we elaborate the algebraic semantics for this language, so that every program of <em>CPSL</em><span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span> can be converted into a unified form called guarded choice form and the sequentialization of parallel programs is achieved. Additionally, we formalize the algebraic semantics in the rewriting engine Real-Time Maude. With the algebraic laws constructed, for every program specified with <em>CPSL</em><span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span>, we can simulate its execution step by step. Furthermore, automatic transformation and execution are attained. As a consequence, if the program and its initial data state are provided, the corresponding trace of data states during execution can be generated. In the light of the generated trace, automatic verification can be carried out as well.</p></div>","PeriodicalId":48797,"journal":{"name":"Journal of Logical and Algebraic Methods in Programming","volume":"139 ","pages":"Article 100973"},"PeriodicalIF":0.9,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140813608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A computational framework based on the dynamic pipeline approach 基于动态管道方法的计算框架

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-04-22 DOI: 10.1016/j.jlamp.2024.100966

Edelmira Pasarella , Maria-Esther Vidal , Cristina Zoltan , Juan Pablo Royo Sales

{"title":"A computational framework based on the dynamic pipeline approach","authors":"Edelmira Pasarella , Maria-Esther Vidal , Cristina Zoltan , Juan Pablo Royo Sales","doi":"10.1016/j.jlamp.2024.100966","DOIUrl":"https://doi.org/10.1016/j.jlamp.2024.100966","url":null,"abstract":"<div><p>Stream processing has inspired new computational approaches to facilitate effectiveness and efficiency. One such approach is the dynamic pipeline, which serves as a powerful computational model for stream processing. It is particularly well suited for solving problems that require incremental generation of results, making it an approach for scenarios where real-time analysis and responsiveness are critical. This paper aims to address a family of problems using the Dynamic Pipeline approach, and as a first step, we provide a comprehensive characterization of this problem family. In addition, we present the definition of a Dynamic Pipeline framework. To demonstrate the practicality of this framework, we present a proof of concept through its implementation and perform an empirical performance study. To this end, we focus on solving the problem of <em>enumerating or listing the weakly connected components</em> of a graph within the proposed framework. We provide two implementations of this algorithm to demonstrate the computational power and continuous behavior of the Dynamic Pipeline framework. The first implementation serves as a baseline for our experiments, representing an <em>ad hoc</em> solution based on the Dynamic Pipeline approach. In contrast, the second implementation is built on top of the developed framework. The observed results strongly support the suitability and effectiveness of the Dynamic Pipeline framework for implementing graph stream processing problems, especially those where continuous and real-time result generation is essential.</p></div>","PeriodicalId":48797,"journal":{"name":"Journal of Logical and Algebraic Methods in Programming","volume":"139 ","pages":"Article 100966"},"PeriodicalIF":0.9,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2352220824000245/pdfft?md5=1b361518db75a9926da8a7684cf4574c&pid=1-s2.0-S2352220824000245-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140640964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

CRYSTAL framework: Cybersecurity assurance for cyber-physical systems CRYSTAL 框架：网络物理系统的网络安全保证

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-03-28 DOI: 10.1016/j.jlamp.2024.100965

Fereidoun Moradi, Sara Abbaspour Asadollah, Bahman Pourvatan, Zahra Moezkarimi, Marjan Sirjani

{"title":"CRYSTAL framework: Cybersecurity assurance for cyber-physical systems","authors":"Fereidoun Moradi, Sara Abbaspour Asadollah, Bahman Pourvatan, Zahra Moezkarimi, Marjan Sirjani","doi":"10.1016/j.jlamp.2024.100965","DOIUrl":"https://doi.org/10.1016/j.jlamp.2024.100965","url":null,"abstract":"<div><p>We propose CRYSTAL framework for automated cybersecurity assurance of cyber-physical systems (CPS) at design-time and runtime. We build attack models and apply formal verification to recognize potential attacks that may lead to security violations. We focus on both communication and computation in designing the attack models. We build a monitor to check and manage security at runtime and use a reference model, called Tiny Digital Twin, in detecting attacks. The Tiny Digital Twin is an abstract behavioral model that is automatically derived from the state space generated by model checking during design-time. Using CRYSTAL, we are able to systematically model and check complex coordinated attacks. In this paper we discuss the applicability of CRYSTAL in security analysis and attack detection for different case studies, Temperature Control System (TCS), Pneumatic Control System (PCS), and Secure Water Treatment System (SWaT). We provide a detailed description of the framework and explain how it works in different cases.</p></div>","PeriodicalId":48797,"journal":{"name":"Journal of Logical and Algebraic Methods in Programming","volume":"139 ","pages":"Article 100965"},"PeriodicalIF":0.9,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2352220824000233/pdfft?md5=2c69c9c2d2dbec58ef8f333d9f3ea8eb&pid=1-s2.0-S2352220824000233-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140346853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fair termination of multiparty sessions 公平终止多方会议

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-03-25 DOI: 10.1016/j.jlamp.2024.100964

Luca Ciccone , Francesco Dagnino , Luca Padovani

引用次数: 0

Regular planar monoidal languages 正则平面单义语言

IF 0.9 4区数学

Journal of Logical and Algebraic Methods in Programming Pub Date : 2024-03-21 DOI: 10.1016/j.jlamp.2024.100963

Matthew Earnshaw, Paweł Sobociński

引用次数: 0