游戏语义中的资源模式

Paul-André Melliès, Nicolas Tabareau
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引用次数: 17

摘要

游戏语义中对资源的描述从来没有达到线性逻辑的简单和精确,因为有一种误导性的观念:认为线性逻辑比游戏语义更原始。我们主张相反的观点:游戏语义在概念上比线性逻辑更原始。从这个修正的观点出发,我们设计了一个游戏语义中的资源分类模型,并构建了一个竞技场游戏模型,其中将通常的分法概念扩展到多分法,以捕获各种资源策略:线性,仿射和指数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Resource modalities in game semantics
The description of resources in game semantics has never achieved the simplicity and precision of linear logic, because of a misleading conception: the belief that linear logic is more primitive than game semantics. We advocate the contrary here: that game semantics is conceptually more primitive than linear logic. Starting from this revised point of view, we design a categorical model of resources in game semantics, and construct an arena game model where the usual notion of bracketing is extended to multi-bracketing in order to capture various resource policies: linear, affine and exponential.
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