MoL-2019-26: Koutsoulis, Dimitrios (2019) Lifschitz Realizability for Homotopy Type Theory. [Report]
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Abstract
This thesis explores a potential development of the constructive tradition of Russian Constructive Mathematics (RUSS) inside Homotopy Type Theory (HoTT). A short introduction to Type Theory is provided. Fragments of RUSS are then formalized inside it, alongside the Lesser Limited Principle of Omniscience (LLPO). A construction that follows closely Van Oosten’s generalization of Lifschitz Realizability is carried out to culminate with a consistency result; that of our selection of RUSS axioms and LLPO under HoTT.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2019-26 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2019 |
| Subjects: | Logic Mathematics |
| Depositing User: | Dr Marco Vervoort |
| Date Deposited: | 08 Sep 2020 13:42 |
| Last Modified: | 08 Sep 2020 13:42 |
| URI: | https://eprints.illc.uva.nl/id/eprint/1756 |
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