Search for dissertations about: "dependent types"
Showing result 11 - 15 of 990 swedish dissertations containing the words dependent types.
-
11. Cubical Intepretations of Type Theory
Abstract : The interpretation of types in intensional Martin-Löf type theory as spaces and their equalities as paths leads to a surprising new view on the identity type: not only are higher-dimensional equalities explained as homotopies, this view also is compatible with Voevodsky's univalence axiom which explains equality for type-theoretic universes as homotopy equivalences, and formally allows to identify isomorphic structures, a principle often informally used despite its incompatibility with set theory. While this interpretation in homotopy theory as well as the univalence axiom can be justified using a model of type theory in Kan simplicial sets, this model can, however, not be used to explain univalence computationally due to its inherent use of classical logic. READ MORE
-
12. Dependent Type Theory with Parameterized First-Order Data Types and Well-Founded Recursion
Abstract : We present a variation of Martin-Löf's logical framework with "beta-iota-equality", extended with first-order parameterized algebraic data types and recursive pattern-matching definitions. Our contribution is a proof of normalization for the proposed system, from which we obtain decidable type-correctness. READ MORE
-
13. Testing and Proving in Dependent Type Theory
Abstract : We show how random testing, model checking and interactive proving can be combined for functional program verification in dependent type theory. We extend the proof assistant Agda/Alfa for dependent type theory with a tool for random testing of functional programs, thus combining proving and testing in one system. READ MORE
-
14. Aβ Conformation Dependent Antibodies and Alzheimer's Disease
Abstract : Soluble intermediates of the amyloid-β (Aβ) aggregation process are suggested to play a central role in the pathogenesis of Alzheimer’s disease (AD) by causing synaptic dysfunction and neuronal loss. In this thesis, soluble Aβ aggregates have been studied with a particular focus on the Aβ protofibril, which has served as the antigen for developing conformation dependent monoclonal antibodies. READ MORE
-
15. Voltage-dependent anion channels (VDAC) in the plasma membrane induce apoptosis
Abstract : Apoptosis, or programmed cell death, is essential for proper development and functioning of the body systems. During development, apoptosis plays a central role to sculpt the embryo, and in adults, to maintain tissue homeostasis by eliminating redundant, damaged or effete cells. Therefore, a tight regulation of this process is essential. READ MORE