Search for dissertations about: "Mathematical logic"

Showing result 1 - 5 of 50 swedish dissertations containing the words Mathematical logic.

  1. 1. Effective Domains and Admissible Domain Representations

    Author : Göran Hamrin; Viggo Stoltenberg-Hansen; Erik Palmgren; Dieter Spreen; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Logic; symbolic and mathematical; domain theory; admissible domain representation; cartesian closure; effective domains; κ-sequential space; limit space; Matematisk logik; Matematik; Mathematics; Logic; symbolic and mathematical; Matematisk logik; Mathematical logic; Matematisk logik;

    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

  2. 2. Contributions to Pointfree Topology and Apartness Spaces

    Author : Anton Hedin; Erik Palmgren; Viggo Stoltenberg-Hansen; Peter Schuster; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Constructive mathematics; General topology; Pointfree topology; Domain theory; Interval analysis; Apartness spaces; Mathematical logic; Matematisk logik; Mathematical Logic; Matematisk logik;

    Abstract : The work in this thesis contains some contributions to constructive point-free topology and the theory of apartness spaces. The first two papers deal with constructive domain theory using formal topology. READ MORE

  3. 3. A Natural Interpretation of Classical Proofs

    Author : Jens Brage; Per Martin-Löf; Sara Negri; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Brouwer-Heyting-Kolmogorov; classical logic; constructive type theory; constructive semantics; proof interpretation; double-negation; continuation-passing-style; natural deduction; sequent calculus; cut elimination; explicit substitution; Mathematical logic; Matematisk logik;

    Abstract : In this thesis we use the syntactic-semantic method of constructive type theory to give meaning to classical logic, in particular Gentzen's LK.We interpret a derivation of a classical sequent as a derivation of a contradiction from the assumptions that the antecedent formulas are true and that the succedent formulas are false, where the concepts of truth and falsity are taken to conform to the corresponding constructive concepts, using function types to encode falsity. READ MORE

  4. 4. Ultrasheaves

    Author : Jonas Eliasson; Viggo Stoltenberg-Hansen; Steve Awodey; Carsten Butz; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Logic; symbolic and mathematical; 03G30; 03C20; 03H05; Matematisk logik; Mathematical logic; Matematisk logik;

    Abstract : This thesis treats ultrasheaves, sheaves on the category of ultrafilters. In the classical theory of ultrapowers, you start with an ultrafilter and, given a structure, you construct the ultrapower of the structure over the ultrafilter. READ MORE

  5. 5. Decontextualized language, logic, and algebra : the relationship between Mozambican students’ achievement in school mathematics and their language and social background

    Author : Ribas Salatiel Madaucane Guambe; Luleå tekniska universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; NATURVETENSKAP; SAMHÄLLSVETENSKAP; NATURAL SCIENCES; SOCIAL SCIENCES; Social sciences - Pedgogical work; Socialvetenskap - Pedagogiskt arbete; Mathematics Education; Matematik och lärande;

    Abstract : Researchers in mathematics education have always stressed the relevance of algebra in school mathematics and have produced a wide range of empirical and theoretical outcomes in relation to this field. In addition, the importance of language proficiency for success in school mathematics has been explored in a variety of different contexts, as has been the relation between students’ social class and achievement in mathematics. READ MORE