MoL-2014-23: Constructing Variants of the Category of Partial Equivalence Relations

MoL-2014-23: Feng, Yuning (2014) Constructing Variants of the Category of Partial Equivalence Relations. [Report]

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The thesis aims at providing a categorical model of modified realizability, understood as an interpretation of extensional Heyting arithmetic in all finite types. Two variants of the category of partial equivalence relations are studied, namely, PER~ and PER~~. The former is shown to be not regular, thus not suitable for our aim. The latter is regular and has enough projectives; it is a good candidate. Both variants are results of alternating iteration of the cover construction and the co-cover construction. The cover construction resembles but differs from the regular completion.

Item Type: Report
Report Nr: MoL-2014-23
Series Name: Master of Logic Thesis (MoL) Series
Year: 2014
Uncontrolled Keywords: logic, computation
Subjects: Logic
Date Deposited: 12 Oct 2016 14:38
Last Modified: 12 Oct 2016 14:38

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