Search for dissertations about: "Erik Palmgren"
Showing result 1 - 5 of 8 swedish dissertations containing the words Erik Palmgren.
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1. Localic Categories of Models and Categorical Aspects of Intuitionistic Ramified Type Theory
Abstract : This thesis contains three papers, all in the general area of categorical logic, together with an introductory part with some minor results and proofs of known results which does not appear to be (easily) available in the literature.In Papers I and II we investigate the formal system Intuitionistic Ramified Type Theory (IRTT), introduced by Erik Palmgren, as an approach to predicative topos theory. READ MORE
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2. Exact completion and type-theoretic structures
Abstract : This thesis consists of four papers and is a contribution to the study of representations of extensional properties in intensional type theories using, mainly, the language and tools from category theory. Our main focus is on exact completions of categories with weak finite limits as a category-theoretic description of the setoid construction in Martin-Löf's intensional type theory. READ MORE
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3. Achieving completeness: from constructive set theory to large cardinals
Abstract : This thesis is an exploration of several completeness phenomena, both in the constructive and the classical settings. After some introductory chapters in the first part of the thesis where we outline the background used later on, the constructive part contains a categorical formulation of several constructive completeness theorems available in the literature, but presented here in an unified framework. READ MORE
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4. Reference and Computation in Intuitionistic Type Theory
Abstract : Three topics, namely, computer science, philosophical logic, and mathematics, meet in intuitionistic type theory, which thus simultaneously is a programming language, a philosophy of language, and a foundation of mathematics. The present thesis compares, relates, and equates two concepts, one from philosophical logic and one from computer science, viz. READ MORE
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5. Effective Domains and Admissible Domain Representations
Abstract : This thesis consists of four papers in domain theory and a summary. The first two papers deal with the problem of defining effectivity for continuous cpos. READ MORE