Krivine's classical realisability from a categorical perspective
Krivine's classical realisability from a categorical perspective
复制标题
克里文从绝对角度看经典的可实现性
DOI:
10.1017/s0960129512000989
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发表时间:
2013
影响因子:
0.5
通讯作者:
T. Streicher
中科院分区:
文献类型:
--
作者:
T. Streicher
In a sequence of papers (Krivine 2001; Krivine 2003; Krivine 2009), J.-L. Krivine introduced his notion of classical realisability for classical second-order logic and Zermelo–Fraenkel set theory. Moreover, in more recent work (Krivine 2008), he has considered forcing constructions on top of it with the ultimate aim of providing a realisability interpretation for the axiom of choice. The aim of the current paper is to show how Krivine's classical realisability can be understood as an instance of the categorical approach to realisability as started by Martin Hyland in Hyland (1982) and described in detail in van Oosten (2008). Moreover, we will give an intuitive explanation of the iteration of realisability as described in Krivine (2008).
DOI:
10.1523/jneurosci.15-09-06189.1995
发表时间:
1995
期刊:
The Journal of neuroscience : the official journal of the Society for Neuroscience.
影响因子:
--
作者:
Lukasiewicz,PD;Lawrence,JE;Valentino,TL
通讯作者:
Valentino,TL