Kleene's recursion theorem: Difference between revisions

Revision as of 22:52, 1 September 2020

Revision as of 07:30, 28 December 2020

Line 150:

== References ==

* {{Cite journal|last1=Barendregt|first1=Henk|author-link1=Henk Barendregt|last2=Terwijn|first2=Sebastiaan A.|date=2019|title=Fixed point theorems for precomplete numberings|url=http://www.sciencedirect.com/science/article/pii/S016800721930048X|journal=Annals of Pure and Applied Logic|language=Englishen|volume=170|issue=10|pages=1151{{ndash}}1161|doi=10.1016/j.apal.2019.04.013|hdl=2066/205967|issn=0168-0072|access-date=6 May 2020|url-status=live|url-access=subscription|hdl-access=free}}

* {{Cite book|last=Cutland|first=Nigel J.|author-link=Nigel Cutland|date=1980|title=Computability: An Introduction to Recursive Function Theory|url=https://books.google.com/books?id=wAstOUE36kcC&printsec=frontcover|publisher=[[Cambridge University Press]]|language=Englishen|doi=10.1017/cbo9781139171496|isbn=9781139935609|oclc=488175597|access-date=6 May 2020|url-status=live}}

* {{Cite book|last=Ershov|first=Yuri L|author-link=Yury Yershov|editor-last=Griffor|editor-first=Edward R|date=1999|url=https://books.google.com/books?id=KqeXZ4pPd5QC&printsec=frontcover|title=Handbook of Computability Theory|chapter=Part 4: Mathematics and Computability Theory. 14. Theory of numbering|series=Studies in logic and the foundations of mathemtics|volume=140|pages=473{{ndash}}503|publisher=[[Elsevier]]|___location=Amsterdam|language=Englishen|oclc=162130533|isbn=9780444898821|access-date=6 May 2020|url-status=live}}

* {{Cite journal|last=Kleene|first=S. C.|author-link=Stephen Cole Kleene|date=1938|title=On notation for ordinal numbers|url=http://www.thatmarcusfamily.org/philosophy/Course_Websites/Readings/Kleene%20-%20Ordinals.pdf|journal=[[Journal of Symbolic Logic]]|language=Englishen|volume=3|issue=4|pages=150{{ndash}}155|doi=10.2307/2267778|jstor=2267778|issn=0022-4812|access-date=6 May 2020|url-status=live}}

* {{Cite book|last=Kleene|first=S. C.|author-link=Stephen Cole Kleene|date=1952|title=Introduction to Metamathematics|url=https://archive.org/details/BubliothecaMathematicaStephenColeKleeneIntroductionToMetamathematicsWoltersNoordhoffPublishing1971|publisher=[[North-Holland Publishing]]|language=Englishen|series=Bibliotheca Mathematica|isbn=9780720421033|oclc=459805591|access-date=6 May 2020|url-status=live}}

* {{Cite journal|last=Jockusch|first=C. G.|author-link1=Carl Jockusch|last2=Lerman|first2=M.|last3=Soare|first3=R. I.|author-link3=Robert I. Soare|last4=Solovay|first4=R. M.|author-link4=Robert M. Solovay|date=1989|title=Recursively enumerable sets modulo iterated jumps and extensions of Arslanov's completeness criterion|journal=[[The Journal of Symbolic Logic]]|language=Englishen|volume=54|issue=4|pages=1288{{ndash}}1323|doi=10.1017/S0022481200041104|jstor=2274816|issn=0022-4812}}

* {{Cite book|last=Jones|first=Neil D.|date=1997|author-link=Neil D. Jones|title=Computability and complexity: From a Programming Perspective|publisher=[[MIT Press]]|isbn=9780262100649|___location=Cambridge, Massachusetts|language=Englishen|oclc=981293265}}

* {{Cite book|last=Rogers|first=Hartley|author-link=Hartley Rogers Jr.|date=1967|title=Theory of recursive functions and effective computability|url=https://archive.org/details/theoryofrecursiv00roge|publisher=[[MIT Press]]|___location=Cambridge, Massachusetts|language=Englishen|oclc=933975989|isbn=9780262680523|access-date=6 May 2020|url-status=live|url-access=registration}}

* {{Cite book|last=Soare|first=R. I.|author-link=Robert I. Soare|title=Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets|series=Perspectives in Mathematical Logic|date=1987|publisher=[[Springer-Verlag]]|isbn=9780387152998|___location=Berlin; New York|language=Englishen|oclc=318368332}}

== External links ==