2024
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1. |
Normann, Dag. Computability and non-monotone induction. Computability - The Journal of the Assosiation 2024 UiO
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2023
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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 UiO
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3. |
Normann, Dag; Sanders, Sam. The Biggest Five of Reverse Mathematics. Journal of Mathematical Logic 2023 s. - UiO
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2022
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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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. - UiO
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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 UiO
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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 UiO
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2021
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11. |
Normann, Dag. An alternative perspective on Reverse Mathematics. Nordic Online Logic Seminars; 2021-06-21 - 2021-06-21 UiO
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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 UiO
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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 UiO
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2020
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14. |
Normann, Dag. Measure-theoretic Uniformity and the Suslin Functional. Computability - The Journal of the Assosiation 2020 ;Volum 10.(2) s. 91-105 UiO
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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 UiO
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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) UiO
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2019
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17. |
Normann, Dag. The Computational Complexity of the Heine Borel Theorem. Homotopy Type Theory and Univalent Foundation; 2019-04-02 - 2019-04-02 UiO
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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 UiO
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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 UiO
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2018
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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 UiO
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21. |
Normann, Dag. David Marker, Lectures on Infinitary Model Theory. Studia Logica: An International Journal for Symbolic Logic 2018 s. - UiO
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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 UiO
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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 UiO
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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. - UiO
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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. - UiO
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2017
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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 UiO
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2016
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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 UiO
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28. |
Normann, Dag. Revisiting Transfinite Types. PCC 2016; 2016-05-05 - 2016-05-06 UiO
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2015
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29. |
Longley, John; Normann, Dag. Higher-Order Computability. Springer 2015 (ISBN 978-3-662-47991-9) 585 s. Theory and Applications of Computability(3) UiO
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30. |
Normann, Dag. Abels tårn. NRK [Radio] 2015-01-02 UiO
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31. |
Normann, Dag. Alan Turing - mer enn en kodebryter. På slaget tolv; 2015-03-06 - 2015-03-06 UiO
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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. - UiO
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33. |
Normann, Dag. Var Turing oppfinneren av datamaskinen?. Den store skolekinodagen 2015; 2015-02-03 UiO
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2014
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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 UiO
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2013
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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 UiO
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2012
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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 UiO
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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 UiO
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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 UiO
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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 UiO
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2011
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40. |
Normann, Dag. Banach spaces as data types. Logical Methods in Computer Science 2011 ;Volum 7.(2) s. - UiO
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41. |
Normann, Dag. Banach spaces as data types. Constructivity and computability in analysis; 2011-06-09 - 2011-06-10 UiO
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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 UiO
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43. |
Normann, Dag. Fixed point computability of total functionals. Domains X; 2011-09-05 - 2011-09-07 UiO
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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 UiO
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45. |
Normann, Dag. Sequential versus Continuous Models of Finite Types. Types 2011; 2011-09-08 - 2011-09-11 UiO
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2009
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46. |
Normann, Dag. A rich hierarchy of functionals of finite types. Logical Methods in Computer Science 2009 ;Volum 5.(3) s. - UiO
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47. |
Normann, Dag. Computations and functionals of finite types. Mal'sev 2009; 2009-08-24 - 2009-08-28 UiO
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48. |
Normann, Dag. Continuous vs. Sequential Functionals - Harmony or Disharmony?. Leeds Logic Seminar; 2009-04-29 - 2009-04-29 UiO
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49. |
Normann, Dag. Finite Sequential Procedures with Observational Ordering. Theory Seminar in Informatics, Birmingham; 2009-05-04 - 2009-05-04 UiO
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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 UiO
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