Realizability Toposes from Specifications
Logic
2015-04-27 v1 Category Theory
Abstract
We investigate a framework of Krivine realizability with I/O effects, and present a method of associating realizability models to specifications on the I/O behavior of processes, by using adequate interpretations of the central concepts of `pole' and `proof-like term'. This method does in particular allow to associate realizability models to computable functions. Following recent work of Streicher and others we show how these models give rise to triposes and toposes.
Cite
@article{arxiv.1504.06565,
title = {Realizability Toposes from Specifications},
author = {Jonas Frey},
journal= {arXiv preprint arXiv:1504.06565},
year = {2015}
}