Primitive recursive function: Difference between revisions

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Variants: The Fischer, Fischer, Beigel paper is complete rubbish. They reprove things known decades earlier, and conjecture things also refuted decades earlier.
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== References ==
* {{cite book|last1=Brainerd |first1=W.S. |last2=Landweber |first2=L.H. |year=1974 |title=Theory of Computation |publisher=Wiley |isbn=0471095850}}
* {{cite journal | last1=Fischer | first1=Michael J. | last2=Fischer | first2=Robert P. | last3=Beigel | first3=Richard | title=Primitive Recursion without Implicit Predecessor | journal=[[ACM SIGACT|ACM SIGACT News]] |date=November 1989 | volume=20| issue=4| pages=87–91 | url=https://doi.org/10.1145/74074.74089 | doi=10.1145/74074.74089| s2cid=33850327 }}
* {{cite book|last=Hartmanis |first=Juris |author-link=Juris Hartmanis |year=1989|chapter=Overview of Computational Complexity Theory |title=Computational Complexity Theory |publisher=American Mathematical Society|pp=1-17 |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}}
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* Robert I. Soare 1995 ''Computability and Recursion'' http://www.people.cs.uchicago.edu/~soare/History/compute.pdf
* Daniel Severin 2008, ''Unary primitive recursive functions'', J. Symbolic Logic Volume 73, Issue 4, pp. 1122–1138 [https://arxiv.org/abs/cs/0603063v3 arXiv] [https://projecteuclid.org/euclid.jsl/1230396909 projecteuclid] {{doi|10.2178/jsl/1230396909}} {{JSTOR|275903221}}
* Raphael M. Robinson (1947), ''Primitive recursive functions'', Bulletin of the AMS 53, no. 10, pp. 925–942.
* M. D. Gladstone (1967), ''A reduction of the recursion scheme'', Journal of Symbolic Logic 32, no. 4, pp. 505–508.
* M. D. Gladstone (1971), ''Simplifications of the recursion scheme'', Journal of Symbolic Logic 36, no. 4, pp. 653–665.
 
{{Mathematical logic}}