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2024
1 Normann, Dag.
Computability and non-monotone induction. Computability - The Journal of the Assosiation 2024
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2023
2 Normann, Dag.
A higher order perspective on computational analysis. Twentieth International Conference on Computability and Complexity in Analysis; 2023-09-07 - 2023-09-09
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3 Normann, Dag; Sanders, Sam.
The Biggest Five of Reverse Mathematics. Journal of Mathematical Logic 2023 s. -
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2022
4 Normann, Dag.
A recent development in the computability theory for functionals of type 3. Proof and Computation 2022; 2022-05-30 - 2022-06-02
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5 Normann, Dag.
The complexity of operators constructed in mainstream mathematics. Logic Seminar, Carnegie-Mellon University; 2022-02-15 - 2022-02-15
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6 Normann, Dag.
Typed lambda calculus and operators of mainstream mathematics. Seminar on the Foundation of Computer Science; 2022-05-03 - 2022-05-03
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7 Normann, Dag; Sanders, Sam.
Betwixed Turing and Kleene. Logical Foundation of Computer Science 2022 - Online; 2022-01-10 - 2022-01-13
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8 Normann, Dag; Sanders, Sam.
On Robust theorems due to Bolzano, Weierstrass, Jordan, and Cantor. Journal of Symbolic Logic (JSL) 2022 s. -
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9 Normann, Dag; Sanders, Sam.
On the computational properties of basic mathematical notions. Journal of Logic and Computation 2022 ;Volum 32.(8) s. 1747-1795
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10 Normann, Dag; Sanders, Sam.
On the uncountability of R. Journal of Symbolic Logic (JSL) 2022 ;Volum 87.(4) s. 1-45
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2021
11 Normann, Dag.
An alternative perspective on Reverse Mathematics. Nordic Online Logic Seminars; 2021-06-21 - 2021-06-21
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12 Normann, Dag; Sanders, Sam.
Betwixt Turing and Kleene. Lecture Notes in Computer Science (LNCS) 2021 ;Volum 13137. s. 236-252
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13 Normann, Dag; Sanders, Sam.
The Axiom of Choice in computability theory and Reverse Mathematics with a cameo for the Continuum Hypothesis. Journal of Logic and Computation 2021 ;Volum 31.(1) s. 297-325
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2020
14 Normann, Dag.
Measure-theoretic Uniformity and the Suslin Functional. Computability - The Journal of the Assosiation 2020 ;Volum 10.(2) s. 91-105
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15 Normann, Dag; Sanders, Sam.
Open sets in computability theory and reverse mathematics. Journal of Logic and Computation 2020 ;Volum 30.(8) s. 1639-1679
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16 Normann, Dag; Sanders, Sam.
Pincherle's theorem in reverse mathematics and computability theory. Annals of Pure and Applied Logic 2020 ;Volum 171.(5)
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2019
17 Normann, Dag.
The Computational Complexity of the Heine Borel Theorem. Homotopy Type Theory and Univalent Foundation; 2019-04-02 - 2019-04-02
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18 Normann, Dag; Sanders, Sam.
Computability Theory, Nonstandard Analysis, and Their Connections. Journal of Symbolic Logic (JSL) 2019 ;Volum 84.(4) s. 1422-1465
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19 Normann, Dag; Sanders, Sam.
The strength of compactness in Computability Theory and Nonstandard Analysis. Annals of Pure and Applied Logic 2019 ;Volum 170.(11) s. 1-42
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2018
20 Normann, Dag.
A comparative study of the Heine-Borel theorem, the Lindelöf Lemma and non-monotone inductive definitions of sets of integers. International Workshop on Computational Approaches to the Foundations of Mathematics; 2018-04-11 - 2018-04-13
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21 Normann, Dag.
David Marker, Lectures on Infinitary Model Theory. Studia Logica: An International Journal for Symbolic Logic 2018 s. -
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22 Normann, Dag.
Functionals of Type 3 as Realisers of Classical Theorems in Analysis. I: Sailing Routes in the World of Computation. Springer Nature 2018 ISBN 978-3-319-94417-3. s. 318-327
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23 Normann, Dag.
Functionals of Type 3 as Realisers of Classical Theorems in Analysis. CiE 2018; 2018-07-30 - 2018-08-03
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24 Normann, Dag.
The sequential functionals of type $(\iota \rightarrow \iota)^n \rightarrow \iota$ form a dcpo for all $n \in {\mathbb N}$. Logical Methods in Computer Science 2018 ;Volum 14.(1) s. -
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25 Normann, Dag; Sanders, Sam.
On the mathematical and foundational significance of the uncountable. Journal of Mathematical Logic 2018 ;Volum 18.(2) s. -
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2017
26 Normann, Dag; Tait, William.
On the Computability of the Fan Functional. I: Feferman on Foundations Logic, Mathematics, Philosophy. Springer Nature 2017 ISBN 978-3-319-63332-9. s. 57-70
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2016
27 Normann, Dag.
On the Cantor-Bendixson rank of a set that is searchable in Gödel's T. Computability - The Journal of the Assosiation 2016 ;Volum 5.(1) s. 61-74
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28 Normann, Dag.
Revisiting Transfinite Types. PCC 2016; 2016-05-05 - 2016-05-06
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2015
29 Longley, John; Normann, Dag.
Higher-Order Computability. Springer 2015 (ISBN 978-3-662-47991-9) 585 s. Theory and Applications of Computability(3)
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30 Normann, Dag.
Abels tårn. NRK [Radio] 2015-01-02
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31 Normann, Dag.
Alan Turing - mer enn en kodebryter. På slaget tolv; 2015-03-06 - 2015-03-06
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32 Normann, Dag.
The extensional realizability model of continuous functionals and three weakly non-constructive classical theorems. Logical Methods in Computer Science 2015 ;Volum 11.(1) s. -
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33 Normann, Dag.
Var Turing oppfinneren av datamaskinen?. Den store skolekinodagen 2015; 2015-02-03
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2014
34 Normann, Dag.
Higher Generalizations of the Turing Model. I: Turing's Legacy: Developments from Turing's Ideas in Logic. Cambridge University Press 2014 ISBN 978-1-107-04348-0. s. 397-433
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2013
35 Buss, Sam; Lowe, Benedikt; Normann, Dag; Soskov, Ivan.
Computability in Europe 2011 Preface. Annals of Pure and Applied Logic 2013 ;Volum 164.(5) s. 509-510
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2012
36 Normann, Dag.
Internal or external, abstract or concrete? What does this mean for computing in a Banach space?. JVT 60; 2012-04-12 - 2012-04-12
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37 Normann, Dag.
Sequential vs. Continuous Functionals of Finite types. Seminar in Honor of Vladimir Sazonov; 2012-09-27 - 2012-09-27
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38 Normann, Dag.
The Continuous Functionals as Limit Spaces. I: Logic, Construction, Computation. Ontos Verlag 2012 ISBN 978-3-86838-158-0. s. 353-379
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39 Normann, Dag; Sazonov, Vladimir Yu..
The extensional ordering of the sequential functionals. Annals of Pure and Applied Logic 2012 ;Volum 163.(5) s. 575-603
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2011
40 Normann, Dag.
Banach spaces as data types. Logical Methods in Computer Science 2011 ;Volum 7.(2) s. -
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41 Normann, Dag.
Banach spaces as data types. Constructivity and computability in analysis; 2011-06-09 - 2011-06-10
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42 Normann, Dag.
Experiments on an Internal Approach to Typed Algorithms in Analysis. I: Computability in Context. Computation and Logic in the Real World. Imperial College Press 2011 ISBN 978-1-84816-245-7. s. 297-327
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43 Normann, Dag.
Fixed point computability of total functionals. Domains X; 2011-09-05 - 2011-09-07
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44 Normann, Dag.
Om Urysohns universelle metriske rom - og litt om Urysohn selv. Ski og Matematikk 2011; 2011-01-06 - 2011-01-09
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45 Normann, Dag.
Sequential versus Continuous Models of Finite Types. Types 2011; 2011-09-08 - 2011-09-11
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2009
46 Normann, Dag.
A rich hierarchy of functionals of finite types. Logical Methods in Computer Science 2009 ;Volum 5.(3) s. -
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47 Normann, Dag.
Computations and functionals of finite types. Mal'sev 2009; 2009-08-24 - 2009-08-28
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48 Normann, Dag.
Continuous vs. Sequential Functionals - Harmony or Disharmony?. Leeds Logic Seminar; 2009-04-29 - 2009-04-29
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49 Normann, Dag.
Finite Sequential Procedures with Observational Ordering. Theory Seminar in Informatics, Birmingham; 2009-05-04 - 2009-05-04
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50 Normann, Dag.
Functionals of finite types - bridging logic and computer science. Computer Science Seminar, Liverpool; 2009-04-30 - 2009-04-30
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