Bisimulation Maps in Presheaf Categories

Q3 Computer Science

Electronic Notes in Theoretical Computer Science Pub Date : 2019-11-30 DOI:10.1016/j.entcs.2019.09.002

Harsh Beohar, Sebastian Küpper

引用次数: 1

Abstract

The category of presheaves on a (small) category is a suitable semantic universe to study behaviour of various dynamical systems. In particular, presheaves can be used to record the executions of a system and their morphisms correspond to simulation maps for various kinds of state-based systems. In this paper, we introduce a notion of bisimulation maps between presheaves (or executions) to capture well known behavioural equivalences in an abstract way. We demonstrate the versatility of this framework by working out the characterisations for standard bisimulation, ∀-fair bisimulation, and branching bisimulation.

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预表类别中的双模拟地图

在一个(小)范畴上的预捆范畴是研究各种动力系统行为的一个合适的语义范畴。特别地，预帧可以用来记录系统的执行，它们的形态对应于各种基于状态的系统的模拟映射。在本文中，我们引入了预帧(或执行)之间的双模拟映射的概念，以抽象的方式捕获众所周知的行为等价。我们通过制定标准双模拟、∀-公平双模拟和分支双模拟的特征来展示这个框架的多功能性。

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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Electronic Notes in Theoretical Computer Science Computer Science-Computer Science (all)

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