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On the Simplicity and Speed of Programs for Computing Infinite Sets of Natural Numbers

Published: 01 July 1969 Publication History
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References

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HARDY, G. H., AND WRIGHT, E.M. An Introduction to the Theory of Numbers. Clarendon Press, Oxford, 1962.
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DAvis, M. Computability and Unsolvability. McGraw-Hill, New York, 1958.
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BLUM, M. Measures on the computation speed of partial recursive functions. Quart. Prog. Rep. 72, Res. Lab. Electronics, MIT, Cambridge, Mass., Jan. 1964, pp. 237-253.
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ARBIB, M. A. Speed-up theorems and incompleteness theorems. In Automata Theory, E. R. Cainiello (Ed.), Academic Press, New York, 1966, pp. 6-24.
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FRAENKEL, A. A. Abstract Set Theory. North-Holland, Amsterdam, The Netherlands, 1961.
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BOREL, R. Lemons sur la Th.orie des Fonctions. Gauthier-Villars, Paris, 1914.
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HARDY, G. H. Orders of Infinity. Cambridge Math. Tracts, No. 12, U. of Cambridge, Cambridge, Eng., 1924.
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SOLOMONOFF, R.J. A formal theory of inductive inference, Pt. I. Inform. Contr. 7 (1964), 1-22.
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KOLMOGOROV, A.N. Three approaches to the definition of the concept "amount of information." Problemy Peredachi Informatsii I (1965), 3-11. (Russian)
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CHAITIN, G.J. On the length of programs for computing finite binary sequences: statistical considerations. J. ACM 16, 1 (Jam 1969), 145-159.
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      Published In

      cover image Journal of the ACM
      Journal of the ACM  Volume 16, Issue 3
      July 1969
      168 pages
      ISSN:0004-5411
      EISSN:1557-735X
      DOI:10.1145/321526
      Issue’s Table of Contents

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 01 July 1969
      Published in JACM Volume 16, Issue 3

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