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A Calculus for Local Reversibility

机译:局部可逆性演算

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摘要

We introduce a process calculus with a new prefixing operator that allows us to model locally controlled reversibility. Actions can be undone spontaneously, as in other reversible process calculi, or as pairs of concerted actions, where performing a weak action forces undoing of another action. The new operator in its full generality allows us to model out-of-causal order computation, where effects are undone before their causes are undone, which goes beyond what typical reversible calculi can express. However, the core calculus, with a restricted form of the new operator, is well behaved as it satisfied causal consistency. We demonstrate the usefulness of the calculus by modelling the hydration of formaldehyde in water into methanediol, an industrially important reaction, where the creation and breaking of some bonds are examples of locally controlled out-of-causal order computation.
机译:我们引入了带有新的前缀运算符的过程演算,该运算符使我们可以对本地控制的可逆性进行建模。动作可以自发地撤消,如在其他可逆过程计算中,也可以是成对的协同动作,在这种情况下,执行微弱的动作会强制撤消其他动作。新的运算符完全具有通用性,它使我们可以对因果顺序计算进行建模,即在撤消其原因之前撤消影响,这超出了典型可逆计算所能表达的范围。但是,具有新形式的运算符的受限形式的核心演算表现良好,因为它满足因果一致性。我们通过模拟甲醛在水中水合成甲烷二醇的过程来证明微积分的有用性,这是一种重要的工业反应,其中某些键的产生和断裂是局部控制的因果外计算的示例。

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