Resource modalities in game semantics

Resource modalities in game semantics
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游戏语义中的资源模态

DOI:
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发表时间:
2007
期刊:
Logic in Computer Science
影响因子:
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通讯作者:
Nicolas Tabareau
Nicolas Tabareau
中科院分区:
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文献类型:
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作者:
Paul;Nicolas Tabareau

文献摘要

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游戏语义中的资源描述从来没有达到线性逻辑的简单性和精确性,因为一个误导性的概念:认为线性逻辑比游戏语义更原始。我们在这里主张相反的观点:游戏语义在概念上比线性逻辑更原始。从这个角度出发,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,其中通常的括号概念扩展到多括号,以捕捉各种资源政策:线性,仿射和指数。
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.