Search Results - Kleene's second recursion theorem
-
1
Intensional Kleene and Rice theorems for abstract program semantics
ISSN: 0890-5401, 1090-2651Published: Elsevier Inc 01.11.2022Published 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…”
Get full text
Journal Article -
2
From Turing machines to computer viruses
ISSN: 1364-503XPublished: England 28.07.2012Published 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…”
Get more information
Journal Article -
3
What computer science has to say about the simulation hypothesis
ISSN: 2632-072X, 2632-072XPublished: IOP Publishing 11.11.2025Published 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…”
Get full text
Journal Article -
4
A Swiss Pocket Knife for Computability
ISSN: 2075-2180, 2075-2180Published: Open Publishing Association 01.01.2013Published 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…”
Get full text
Journal Article -
5
Kleene's Two Kinds of Recursion
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 04.08.2018Published 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…”
Get full text
Paper -
6
On the Semantics of Intensionality and Intensional Recursion
Published: ProQuest Dissertations & Theses 01.01.2017“… In computability theory, intensional recursion is enabled by Kleene's Second Recursion…”
Get full text
Dissertation -
7
A Swiss Pocket Knife for Computability
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 20.09.2013Published 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…”
Get full text
Paper -
8
Algebra of Self-Replication
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 19.11.2023Published 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…”
Get full text
Paper -
9
A Rice's Theorem for Abstract Semantics
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 30.05.2021Published 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…”
Get full text
Paper -
10
On the Semantics of Intensionality and Intensional Recursion
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.12.2017Published in arXiv.org (26.12.2017)“… In computability theory, intensional recursion is enabled by Kleene's Second Recursion…”
Get full text
Paper -
11
Algebra of Self-Replication
ISSN: 2969-2431, 2969-2431Published: 23.11.2023Published 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…”
Get full text
Journal Article -
12
Intensionality, Intensional Recursion, and the Gödel-Löb axiom
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 13.06.2020Published in arXiv.org (13.06.2020)“… In contrast, data in the second region are only available as values up to ordinary equality…”
Get full text
Paper -
13
Implications of computer science theory for the simulation hypothesis
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.06.2024Published 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…”
Get full text
Paper -
14
Infinitary self-reference in learning theory
ISSN: 0952-813X, 1362-3079Published: Taylor & Francis Group 01.01.1994Published 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…”
Get full text
Journal Article -
15
Constructivity conditions on immune sets: Constructivity conditions on immune sets
ISSN: 0933-5846, 1432-0665Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2025Published in Archive for mathematical logic (01.07.2025)“…: strongly effectively immune sets can not have immune complements ; whereas, the main theorem herein…”
Get full text
Journal Article -
16
Kleene, Rogers and Rice Theorems Revisited in C and in Bash
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 08.12.2007Published in arXiv.org (08.12.2007)“…The recursion theorem in the weak form {e}(z)=x(e,z) (universal function not needed…”
Get full text
Paper -
17
Fixpoints for general correctness
ISSN: 1567-8326Published: 01.08.2011Published in The journal of logic and algebraic programming (01.08.2011)Get full text
Journal Article -
18
Realizability and Recursive Mathematics
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…”
Get full text
Dissertation -
19
Chapter 1 Partial Combinatory Algebras
ISBN: 9780444515841, 0444515844ISSN: 0049-237XPublished: 2008Published 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…”
Get full text
Book Chapter

