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Primitive recursive function
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== References == * {{citation|last1=Brainerd |first1=W.S. |last2=Landweber |first2=L.H. |year=1974 |title=Theory of Computation |publisher=Wiley |isbn=0471095850}} * {{citation|last=Hartmanis |first=Juris |author-link=Juris Hartmanis |year=1989|chapter=Overview of Computational Complexity Theory |title=Computational Complexity Theory |publisher=American Mathematical Society|pages=1β17 |isbn=978-0-8218-0131-4 |series=Proceedings of Symposia in Applied Mathematics |volume=38 |mr=1020807}} * [[Robert I. Soare]], ''Recursively Enumerable Sets and Degrees'', Springer-Verlag, 1987. {{isbn|0-387-15299-7}} * {{citation |last=Kleene |first=Stephen Cole |author-link=Stephen Cole Kleene |year=1952|title=Introduction to Metamathematics |edition=7th [1974] reprint; 2nd |publisher=[[North-Holland Publishing Company]] |oclc=3757798 |isbn=0444100881}} Chapter XI. General Recursive Functions Β§57 *{{citation |author-link=George Boolos |first1=George |last1=Boolos |author2-link=John P. Burgess |first2=John |last2=Burgess |author3-link=Richard Jeffrey |first3=Richard |last3=Jeffrey |title=Computability and Logic |publisher=Cambridge University Press |edition=4th |date=2002 |isbn=9780521007580 |pages=70β71}} *{{citation | last = Soare | first = Robert I. | doi = 10.2307/420992 | issue = 3 | journal = The Bulletin of Symbolic Logic | mr = 1416870 | pages = 284β321 | title = Computability and recursion | url = https://scholar.archive.org/work/ruvjr6nkyre4nfxjdme2refpwe | volume = 2 | year = 1996| jstor = 420992 }} *{{citation | last = Severin | first = Daniel E. | arxiv = cs/0603063 | doi = 10.2178/jsl/1230396909 | issue = 4 | journal = The Journal of Symbolic Logic | jstor = 275903221 | mr = 2467207 | pages = 1122β1138 | title = Unary primitive recursive functions | volume = 73 | year = 2008}} *{{citation | last = Robinson | first = Raphael M. | doi = 10.1090/S0002-9904-1947-08911-4 | journal = Bulletin of the American Mathematical Society | mr = 22536 | pages = 925β942 | title = Primitive recursive functions | volume = 53 | year = 1947| issue = 10 | doi-access = free }} *{{citation | last = Gladstone | first = M. D. | doi = 10.2307/2270177 | journal = The Journal of Symbolic Logic | mr = 224460 | pages = 505β508 | title = A reduction of the recursion scheme | volume = 32 | year = 1967| issue = 4 | jstor = 2270177 }} *{{citation | last = Gladstone | first = M. D. | doi = 10.2307/2272468 | journal = The Journal of Symbolic Logic | mr = 305993 | pages = 653β665 | title = Simplifications of the recursion scheme | volume = 36 | year = 1971| issue = 4 | jstor = 2272468 }} {{Mathematical logic}} [[Category:Computability theory]] [[Category:Theory of computation]] [[Category:Functions and mappings]] [[Category:Recursion]]
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