Search for dissertations about: "Constructive mathematics"

Showing result 16 - 20 of 20 swedish dissertations containing the words Constructive mathematics.

  2. 16. A Model of Type Theory in Cubical Sets

    Author : Simon Huber; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Models of dependent type theory; cubical sets; Univalent Foundations;

    Abstract : The intensional identity type is one if the most intricate concepts of dependent type theory. The recently discovered connection between homotopy theory and type theory gives a novel perspective on the identity type. READ MORE

  4. 17. On Induction, Coinduction and Equality in Martin-Löf and Homotopy Type Theory

    Author : Andrea Vezzosi; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Conversion; Parametricity; Higher Inductive Types; Sized Types; Dependent Types; Type Theory; Guarded Types;

    Abstract : Martin Löf Type Theory, having put computation at the center of logical reasoning, has been shown to be an effective foundation for proof assistants, with applications both in computer science and constructive mathematics. One ambition though is for MLTT to also double as a practical general purpose programming language. READ MORE

  5. 18. Tailoring Gaussian processes for tomographic reconstruction

    Author : Carl Jidling; Thomas B. Schön; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Electrical Engineering with specialization in Signal Processing; Elektroteknik med inriktning mot signalbehandling;

    Abstract : A probabilistic model reasons about physical quantities as random variables that can be estimated from measured data. The Gaussian process is a respected member of this family, being a flexible non-parametric method that has proven strong capabilities in modelling a wide range of nonlinear functions. READ MORE

  6. 19. Constructive Algebra in Type Theory

    Author : Anders Mörtberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis contains four papers aiming at bridging the gap between algorithms implemented in computer algebra systems and interactive proof assistants. This is done by implementing and verifying efficient algorithms using the Coq proof assistant together with the SSReflect extension. READ MORE

  7. 20. Relations in Dependent Type Theory

    Author : Carlos Gonzalía; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; formalized mathematics; relational systems; category theory; programming logics; constructive type theory; logical frameworks; relational database model;

    Abstract : This thesis investigates how to express and reason about relational concepts and methods inside the constructive logical framework of Martin-Löf's monomorphic type theory. We cover several areas where the notion of relation is central, and show how to formalize the basic concepts of each area. READ MORE