Authors

A.W. Swan
Michael Rathjen

Date (dd-mm-yyyy)

2018-06-27

Title

Lifschitz Realizability as a Topological Construction

Publication Year

2018-06-27

Document type

Working paper

Abstract

We develop a number of variants of Lifschitz realizability for CZF by building topological models internally in certain realizability models. We use this to show some interesting metamathematical results about constructive set theory with variants of LLPO including consistency with unique Church's thesis, consistency with some Brouwerian principles and variants of the numerical existence property.

Permalink

https://hdl.handle.net/11245.1/caa81511-4c42-445c-9ce6-99a2a13fe091