MoL-2014-12: Docherty, Simon (2014) A Model Of Type Theory In Cubical Sets With Connections. [Report]
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Abstract
In this thesis we construct a new model of intensional type theory in
the category of cubical sets with connections. To facilitate this we
introduce the notion of a nice path object category, a simplification
of the path object category axioms of v.d. Berg and Garner that
nonetheless yields the full path object category structure. By
defining cubical n-paths and contraction operators upon them we
exhibit the category of cubical sets with connections as a nice path
object category, and are therefore able to utilise a general
construction of a homotopy theoretic model of identity types from the
structure of a path object category in order to give our model of type
theory.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2014-12 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2014 |
| Uncontrolled Keywords: | logic, mathematics |
| Subjects: | Logic |
| Date Deposited: | 12 Oct 2016 14:38 |
| Last Modified: | 12 Oct 2016 14:38 |
| URI: | https://eprints.illc.uva.nl/id/eprint/930 |
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