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학술저널

On a Construction of Subobject Classifiers

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In this paper, we consider the higher-order type theoretic language L and construct a type model D of complete partial ordered set. We show that the complete partial ordered set for the language L gives rise to a category and generates a topos.

ABSTRACT

1. Introduction

2. Syntax of L

3. Semantics of L

4. A type model D of a language L

5. A topos generated by types D( L)

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