MoL-2019-26: Lifschitz Realizability for Homotopy Type Theory

MoL-2019-26: Koutsoulis, Dimitrios (2019) Lifschitz Realizability for Homotopy Type Theory. [Report]

[thumbnail of MoL-2019-26.text.pdf]

Download (432kB) | Preview


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
Depositing User: Dr Marco Vervoort
Date Deposited: 08 Sep 2020 13:42
Last Modified: 08 Sep 2020 13:42

Actions (login required)

View Item View Item