Suchergebnisse - Kleene's second recursion theorem
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Intensional Kleene and Rice theorems for abstract program semantics
ISSN: 0890-5401, 1090-2651Veröffentlicht: Elsevier Inc 01.11.2022Veröffentlicht 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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From Turing machines to computer viruses
ISSN: 1364-503XVeröffentlicht: England 28.07.2012Veröffentlicht in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (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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What computer science has to say about the simulation hypothesis
ISSN: 2632-072X, 2632-072XVeröffentlicht: IOP Publishing 11.11.2025Veröffentlicht 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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A Swiss Pocket Knife for Computability
ISSN: 2075-2180, 2075-2180Veröffentlicht: Open Publishing Association 01.01.2013Veröffentlicht in Electronic proceedings in theoretical computer science (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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Kleene's Two Kinds of Recursion
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 04.08.2018Veröffentlicht 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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On the Semantics of Intensionality and Intensional Recursion
Veröffentlicht: ProQuest Dissertations & Theses 01.01.2017“… In computability theory, intensional recursion is enabled by Kleene's Second Recursion …”
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A Swiss Pocket Knife for Computability
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 20.09.2013Veröffentlicht 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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Algebra of Self-Replication
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 19.11.2023Veröffentlicht 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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A Rice's Theorem for Abstract Semantics
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 30.05.2021Veröffentlicht 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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On the Semantics of Intensionality and Intensional Recursion
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 26.12.2017Veröffentlicht in arXiv.org (26.12.2017)“… In computability theory, intensional recursion is enabled by Kleene's Second Recursion …”
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Algebra of Self-Replication
ISSN: 2969-2431, 2969-2431Veröffentlicht: 23.11.2023Veröffentlicht in Electronic Notes in Theoretical Informatics and Computer Science (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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Intensionality, Intensional Recursion, and the Gödel-Löb axiom
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 13.06.2020Veröffentlicht 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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Implications of computer science theory for the simulation hypothesis
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 22.06.2024Veröffentlicht 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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Infinitary self-reference in learning theory
ISSN: 0952-813X, 1362-3079Veröffentlicht: Taylor & Francis Group 01.01.1994Veröffentlicht in Journal of experimental & theoretical artificial intelligence (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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Constructivity conditions on immune sets: Constructivity conditions on immune sets
ISSN: 0933-5846, 1432-0665Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2025Veröffentlicht 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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Kleene, Rogers and Rice Theorems Revisited in C and in Bash
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 08.12.2007Veröffentlicht 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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Fixpoints for general correctness
ISSN: 1567-8326Veröffentlicht: 01.08.2011Veröffentlicht in The journal of logic and algebraic programming (01.08.2011)Volltext
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Realizability and Recursive Mathematics
Veröffentlicht: 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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Chapter 1 Partial Combinatory Algebras
ISBN: 9780444515841, 0444515844ISSN: 0049-237XVeröffentlicht: 2008Veröffentlicht in Studies in Logic and the Foundations of Mathematics (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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