Search Results - Kleene's second recursion theorem

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  1. 1

    Intensional Kleene and Rice theorems for abstract program semantics by Baldan, Paolo, Ranzato, Francesco, Zhang, Linpeng

    ISSN: 0890-5401, 1090-2651
    Published: Elsevier Inc 01.11.2022
    Published in Information and computation (01.11.2022)
    “… asymptotic complexity or logical invariants, and allow us to generalise some foundational computability results such as Rice's Theorem and Kleene's Second Recursion Theorem…”
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    Journal Article
  2. 2

    From Turing machines to computer viruses by Marion, Jean-Yves

    ISSN: 1364-503X
    Published: England 28.07.2012
    “… Our point of view is that Kleene's (second) recursion theorem is essential to understand self-replication mechanisms…”
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    Journal Article
  3. 3

    What computer science has to say about the simulation hypothesis by Wolpert, David

    ISSN: 2632-072X, 2632-072X
    Published: IOP Publishing 11.11.2025
    Published in Journal of physic, complexity (11.11.2025)
    “… In particular, I use Kleene’s second recursion theorem to prove that it is mathematically possible for us to be a simulation that is being run on a computer — by us…”
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    Journal Article
  4. 4

    A Swiss Pocket Knife for Computability by Jones, Neil D.

    ISSN: 2075-2180, 2075-2180
    Published: Open Publishing Association 01.01.2013
    “…''; and Kleene's second recursion theorem. In today's programming language parlance these are respectively partial evaluation, self-interpretation, and reflection…”
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    Journal Article
  5. 5

    Kleene's Two Kinds of Recursion by Kavvos, G A

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 04.08.2018
    Published in arXiv.org (04.08.2018)
    “…This is an elementary expository article regarding the application of Kleene's Recursion Theorems in making definitions by recursion…”
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    Paper
  6. 6

    On the Semantics of Intensionality and Intensional Recursion by Kavvos, Georgios Alexandros

    Published: ProQuest Dissertations & Theses 01.01.2017
    “… In computability theory, intensional recursion is enabled by Kleene's Second Recursion…”
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    Dissertation
  7. 7

    A Swiss Pocket Knife for Computability by Jones, Neil D

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 20.09.2013
    Published in arXiv.org (20.09.2013)
    “…"; and Kleene's second recursion theorem. In today's programming language parlance these are respectively partial evaluation, self-interpretation, and reflection…”
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    Paper
  8. 8

    Algebra of Self-Replication by Moss, Lawrence S

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 19.11.2023
    Published in arXiv.org (19.11.2023)
    “…Typical arguments for results like Kleene's Second Recursion Theorem and the existence of self-writing computer programs bear the fingerprints of equational reasoning and combinatory logic…”
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    Paper
  9. 9

    A Rice's Theorem for Abstract Semantics by Baldan, Paolo, Ranzato, Francesco, Zhang, Linpeng

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 30.05.2021
    Published in arXiv.org (30.05.2021)
    “…Classical results in computability theory, notably Rice's theorem, focus on the extensional content of programs, namely, on the partial recursive functions that programs compute…”
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    Paper
  10. 10

    On the Semantics of Intensionality and Intensional Recursion by Kavvos, G A

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 26.12.2017
    Published in arXiv.org (26.12.2017)
    “… In computability theory, intensional recursion is enabled by Kleene's Second Recursion…”
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    Paper
  11. 11

    Algebra of Self-Replication by Moss, Lawrence S.

    ISSN: 2969-2431, 2969-2431
    Published: 23.11.2023
    “…Typical arguments for results like Kleene's Second Recursion Theorem and the existence of self-writing computer programs bear the fingerprints of equational reasoning and combinatory logic…”
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    Journal Article
  12. 12

    Intensionality, Intensional Recursion, and the Gödel-Löb axiom by Kavvos, G A

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 13.06.2020
    Published in arXiv.org (13.06.2020)
    “… In contrast, data in the second region are only available as values up to ordinary equality…”
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    Paper
  13. 13

    Implications of computer science theory for the simulation hypothesis by Wolpert, David H

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 22.06.2024
    Published in arXiv.org (22.06.2024)
    “… In particular, I use Kleene's second recursion theorem to prove that it is mathematically possible for us to be a simulation that is being run on a computer - by us…”
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    Paper
  14. 14

    Infinitary self-reference in learning theory by CASE, JOHN

    ISSN: 0952-813X, 1362-3079
    Published: Taylor & Francis Group 01.01.1994
    “…Kleene's second recursion theorem provides a means for transforming any program p into a program e(p…”
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    Journal Article
  15. 15

    Constructivity conditions on immune sets: Constructivity conditions on immune sets by Case, John

    ISSN: 0933-5846, 1432-0665
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2025
    Published in Archive for mathematical logic (01.07.2025)
    “…: strongly effectively immune sets can not have immune complements ; whereas, the main theorem herein…”
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    Journal Article
  16. 16

    Kleene, Rogers and Rice Theorems Revisited in C and in Bash by Caporaso, Salvatore, Corriero, Nicola

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 08.12.2007
    Published in arXiv.org (08.12.2007)
    “…The recursion theorem in the weak form {e}(z)=x(e,z) (universal function not needed…”
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    Paper
  17. 17

    Fixpoints for general correctness by Guttmann, Walter

    ISSN: 1567-8326
    Published: 01.08.2011
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    Journal Article
  18. 18

    Realizability and Recursive Mathematics by McCarty, David Charles

    Published: ProQuest Dissertations & Theses 01.01.1985
    “… Uealizability applies recursion-theoretic concepts to give interpretations of constructivism along lines suggested originally by Heyting and Kleene…”
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    Dissertation
  19. 19

    Chapter 1 Partial Combinatory Algebras

    ISBN: 9780444515841, 0444515844
    ISSN: 0049-237X
    Published: 2008
    “…(A)-valued predicates, conditional pcas, and Longley's theorem. Some examples and important properties of pcas are also discussed and the role of recursion theory in pcas and the finite types are also focused…”
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    Book Chapter