Translation validation of coloured Petri net models of programs on integers

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Acta Informatica Pub Date : 2022-04-06 DOI:10.1007/s00236-022-00419-z

Soumyadip Bandyopadhyay, Dipankar Sarkar, Chittaranjan Mandal, Holger Giese

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Abstract

Programs are often subjected to significant optimizing and parallelizing transformations based on extensive dependence analysis. Formal validation of such transformations needs modelling paradigms which can capture both control and data dependences in the program vividly. Being value-based with an inherent scope of capturing parallelism, the untimed coloured Petri net (CPN) models, reported in the literature, fit the bill well; accordingly, they are likely to be more convenient as the intermediate representations (IRs) of both the source and the transformed codes for translation validation than strictly sequential variable-based IRs like sequential control flow graphs (CFGs). In this work, an efficient path-based equivalence checking method for CPN models of programs on integers is presented. Extensive experimentation has been carried out on several sequential and parallel examples. Complexity and correctness issues have been treated rigorously for the method.

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整数上程序的彩色Petri网模型的翻译验证

基于广泛的依赖性分析，程序经常需要进行重要的优化和并行化转换。这种转换的形式化验证需要建模范例，它可以生动地捕获程序中的控制和数据依赖关系。文献中报道的非定时彩色Petri网(CPN)模型是基于捕获并行性的固有范围的值，很好地符合要求;因此，作为源代码和转换后的代码的中间表示(ir)，它们可能比严格顺序的基于变量的ir(如顺序控制流图(cfg))更方便用于翻译验证。本文提出了一种有效的基于路径的整数规划CPN模型等价性检验方法。在几个顺序和并行的例子上进行了大量的实验。该方法严格处理了复杂性和正确性问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Informatica 工程技术-计算机：信息系统

CiteScore

2.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Acta Informatica provides international dissemination of articles on formal methods for the design and analysis of programs, computing systems and information structures, as well as related fields of Theoretical Computer Science such as Automata Theory, Logic in Computer Science, and Algorithmics. Topics of interest include: • semantics of programming languages • models and modeling languages for concurrent, distributed, reactive and mobile systems • models and modeling languages for timed, hybrid and probabilistic systems • specification, program analysis and verification • model checking and theorem proving • modal, temporal, first- and higher-order logics, and their variants • constraint logic, SAT/SMT-solving techniques • theoretical aspects of databases, semi-structured data and finite model theory • theoretical aspects of artificial intelligence, knowledge representation, description logic • automata theory, formal languages, term and graph rewriting • game-based models, synthesis • type theory, typed calculi • algebraic, coalgebraic and categorical methods • formal aspects of performance, dependability and reliability analysis • foundations of information and network security • parallel, distributed and randomized algorithms • design and analysis of algorithms • foundations of network and communication protocols.

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