MoL-2015-09: Zou, Tingxiang (2015) Filtered Order-partial Combinatory Algebras and Classical Realizability. [Report]
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Abstract
This thesis is mainly about classical realizability. We study a general construction of abstract Krivine structures from filtered order-partial combinatory algebras. This construction gives interesting models of classical realizability, in the sense that the corresponding Krivine toposes are not Grothendieck. From this construction, we also get a characterization of Krivine toposes among the class of realizability-related toposes. In addition, we generalize some important results about order-partial combinatory algebras to those of filtered order-partial combinatory algebras.
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2015-09 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2015 |
| 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/950 |
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