Probabilistic game semantics

Probabilistic game semantics
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概率游戏语义

DOI:
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发表时间:
2000
期刊:
Proceedings Fifteenth Annual IEEE Symposium on Logic in Computer Science (Cat. No.99CB36332)
影响因子:
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通讯作者:
Russell Harmer
Russell Harmer
中科院分区:
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文献类型:
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作者:
V. Danos;Russell Harmer

文献摘要

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开发了一类 HO/N 型游戏和概率策略,其中策略的可能选择被量化,以便衡量观看给定游戏的可能性。双面骰子在这一类别中被证明是通用的,因为任何策略都可以分解为某些确定性策略和该骰子之间的组合。然后通过描述笛卡尔封闭子范畴来证明该范畴的解释能力,该子范畴提供了理想化 Algol 概率扩展的完全抽象模型。
A category of HO/N-style games and probabilistic strategies is developed where the possible choices of a strategy are quantified so as to give a measure of the likelihood of seeing a given play. A 2-sided die is shown to be universal in this category, in the sense that any strategy breaks down into a composition between some deterministic strategy and that die. The interpretative power of the category is then demonstrated by delineating a Cartesian closed subcategory which provides a fully abstract model of a probabilistic extension of Idealized Algol.