On Locality and the Exchange Law for Concurrent Processes

On Locality and the Exchange Law for Concurrent Processes
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论并发进程的局部性和交换律

DOI:
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发表时间:
2011
期刊:
International Conference on Concurrency Theory
影响因子:
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通讯作者:
G. Struth
G. Struth
中科院分区:
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文献类型:
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作者:
C. Hoare;A. Hussain;B. Möller;P. O'Hearn;R. Petersen;G. Struth

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本文结合近年来在并发Kleene代数和分离逻辑方面的研究成果,对并发的代数模型进行了研究。它建立了分离逻辑的并发规则和框架规则之间的紧密联系,是范畴论交换规律的一种变体。我们研究了两个标准模型:一个使用跟踪集,另一个是基于状态的,使用断言和最弱前提条件。我们将后者作为部分函数与堆的标准模型联系起来。我们利用代数的力量来统一模型并对它们的变化进行分类。
This paper studies algebraic models for concurrency, in light of recent work on Concurrent Kleene Algebra and Separation Logic. It establishes a strong connection between the Concurrency and Frame Rules of Separation Logic and a variant of the exchange law of Category Theory. We investigate two standard models: one uses sets of traces, and the other is state-based, using assertions and weakest preconditions. We relate the latter to standard models of the heap as a partial function. We exploit the power of algebra to unify models and classify their variations.