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(2011) Foundational theories of classical and constructive mathematics, Dordrecht, Springer.
Local Constructive Set Theory (LCST) is intended to be a local version of constructive set theory (CST). Constructive Set Theory is an open-ended set theoretical setting for constructive mathematics that is not committed to any particular brand of constructive mathematics and, by avoiding any built-in choice principles, is also acceptable in topos mathematics, the mathematics that can be carried out in an arbitrary topos with a natural numbers object.
Publication details
DOI: 10.1007/978-94-007-0431-2_10
Full citation:
Aczel, P. (2011)., Local constructive set theory and inductive definitions, in G. Sommaruga (ed.), Foundational theories of classical and constructive mathematics, Dordrecht, Springer, pp. 189-207.
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