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Volumn 62, Issue 1, 2004, Pages 1-38

Complexity and randomness

Author keywords

[No Author keywords available]

Indexed keywords


EID: 29144441331     PISSN: 03731243     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (63)
  • 4
    • 78649893518 scopus 로고    scopus 로고
    • Recursively enumerable reals and Chaitin Ω numbers
    • Springer
    • Calude C. S., Hertling P. H., Khoussainov B. and Wang Y., Recursively enumerable reals and Chaitin Ω numbers, Proc. STACS, Springer, 1998, 596-606.
    • (1998) Proc. STACS , pp. 596-606
    • Calude, C.S.1    Hertling, P.H.2    Khoussainov, B.3    Wang, Y.4
  • 5
    • 0016532771 scopus 로고
    • A theory of program size formally identical to information theory
    • Chaitin GJ., A theory of program size formally identical to information theory, Journal of the ACM 22 (1975) 329-340.
    • (1975) Journal of the ACM , vol.22 , pp. 329-340
    • Chaitin, G.J.1
  • 11
    • 0036436250 scopus 로고    scopus 로고
    • Computably enumerable reals and uniformly presentable ideals
    • Downey R. G. and Terwijn S. A., Computably enumerable reals and uniformly presentable ideals, Mathematical Logic Quarterly 48 1(2002), 29-40.
    • (2002) Mathematical Logic Quarterly , vol.48 , Issue.1 , pp. 29-40
    • Downey, R.G.1    Terwijn, S.A.2
  • 13
    • 34250950477 scopus 로고
    • Dimension und äußeresMaß
    • Hausdorff F., Dimension und äußeresMaß, Mathematische Annalen 79(1919), 157-179.
    • (1919) Mathematische Annalen , vol.79 , pp. 157-179
    • Hausdorff, F.1
  • 15
  • 16
    • 51249189307 scopus 로고
    • Subsequences of normal sequences
    • Kamae T., Subsequences of normal sequences, Israel J. Math. 16(1973), 121-149.
    • (1973) Israel J. Math , vol.16 , pp. 121-149
    • Kamae, T.1
  • 17
    • 0038546835 scopus 로고
    • Complexity dips in random infinite binary sequences
    • Katseff H. P., Complexity dips in random infinite binary sequences, Information and Control 38(1978), 258-263.
    • (1978) Information and Control , vol.38 , pp. 258-263
    • Katseff, H.P.1
  • 20
    • 0032509659 scopus 로고    scopus 로고
    • Randomness, computability and algebraic specifications
    • Khoussainov B., Randomness, computability and algebraic specifications, Annals of Pure and Applied Logic 91(1998), 1-15.
    • (1998) Annals of Pure and Applied Logic , vol.91 , pp. 1-15
    • Khoussainov, B.1
  • 21
    • 33645929602 scopus 로고
    • Normal numbers and subsets of ω with given densities
    • Ki H. and Linton T., Normal numbers and subsets of ω with given densities, Fundamenta Mathematicae 144(1994), 163-179.
    • (1994) Fundamenta Mathematicae , vol.144 , pp. 163-179
    • Ki, H.1    Linton, T.2
  • 22
    • 0022982850 scopus 로고
    • On the notion ofinfinite pseudorandom sequences
    • Ko K.-I, On the notion ofinfinite pseudorandom sequences, Theoretical Computer Science 48(1986), 9-33.
    • (1986) Theoretical Computer Science , vol.48 , pp. 9-33
    • Ko, K.-I.1
  • 24
    • 0000701330 scopus 로고
    • 1-classes and complete extensions of PA
    • Springer-Verlag
    • 1-classes and complete extensions of PA, Lect. Notes in Math. 1141, Springer-Verlag, 1985, 245-259.
    • (1985) Lect. Notes in Math , vol.1141 , pp. 245-259
    • Kucera, A.1
  • 25
    • 0036214633 scopus 로고    scopus 로고
    • Randomness and recursive enumerability
    • Kucera A. and Slaman T. A., Randomness and recursive enumerability, SIAM J. Comput. 31(2001), 199-211.
    • (2001) SIAM J. Comput , vol.31 , pp. 199-211
    • Kucera, A.1    Slaman, T.A.2
  • 26
    • 0039657049 scopus 로고    scopus 로고
    • Lowness for the class of random sets
    • Kucera A. and Terwijn S. A., Lowness for the class of random sets, Journal of Symbolic Logic 64 4(1999), 1396-1402.
    • (1999) Journal of Symbolic Logic , vol.64 , Issue.4 , pp. 1396-1402
    • Kucera, A.1    Terwijn, S.A.2
  • 28
    • 0011565585 scopus 로고
    • PhD Thesis, University of Amsterdam, Amsterdam
    • Van Lambalgen M., Random sequences, PhD Thesis, University of Amsterdam, Amsterdam 1987.
    • (1987) Random Sequences
    • Van Lambalgen, M.1
  • 30
    • 0000508181 scopus 로고
    • On the notion of a random sequence
    • Levin L. A., On the notion of a random sequence, Soviet Math. Dokl. 14(1973), 1413-1416.
    • (1973) Soviet Math. Dokl , vol.14 , pp. 1413-1416
    • Levin, L.A.1
  • 32
    • 0025682948 scopus 로고
    • Category and measure in complexity classes
    • Lutz J. H., Category and measure in complexity classes, SIAM J. Comput. 19(1990), 1100-1131.
    • (1990) SIAM J. Comput , vol.19 , pp. 1100-1131
    • Lutz, J.H.1
  • 33
    • 0026851355 scopus 로고
    • Almost everywhere high nonuniform complexity
    • Lutz J. H., Almost everywhere high nonuniform complexity, J. Comput. System Sci. 44(1992), 220-258.
    • (1992) J. Comput. System Sci , vol.44 , pp. 220-258
    • Lutz, J.H.1
  • 35
    • 0002228454 scopus 로고    scopus 로고
    • The dimensions of individual strings and sequences, Information and Computation, to appear. Preliminary version: Gales and the constructive dimension of individual sequences
    • Springer
    • Lutz J. H., The dimensions of individual strings and sequences, Information and Computation, to appear. Preliminary version: Gales and the constructive dimension of individual sequences, in: "Proceedings of the 27th International Colloquium on Automata, Languages and Programming", Springer, 2000, 902-913.
    • (2000) Proceedings of the 27th International Colloquium on Automata, Languages and Programming , pp. 902-913
    • Lutz, J.H.1
  • 36
    • 18344371384 scopus 로고
    • The definition of random sequences
    • Martin-Lof P., The definition of random sequences, Information and Control 9(1966), 602-619.
    • (1966) Information and Control , vol.9 , pp. 602-619
    • Martin-Lof, P.1
  • 37
    • 0037120704 scopus 로고    scopus 로고
    • A Kolmogorov complexity characterization of constructive Hausdorff dimension
    • Mayordomo E., A Kolmogorov complexity characterization of constructive Hausdorff dimension, Information Processing Letters 84(2002), 1-3.
    • (2002) Information Processing Letters , vol.84 , pp. 1-3
    • Mayordomo, E.1
  • 47
    • 0003319386 scopus 로고
    • Degrees of unsolvability
    • Princeton University Press
    • Sacks G. E., Degrees ofunsolvability, Annals of Mathematics Studies 55, Princeton University Press, 1963.
    • (1963) Annals of Mathematics Studies , pp. 55
    • Sacks, G.E.1
  • 48
    • 0002411710 scopus 로고
    • Zufälligkeit und Wahrscheinlichkeit
    • Springer-Verlag
    • Schnorr C.-P., Zufälligkeit und Wahrscheinlichkeit, Lect. Notes in Math. 218, Springer-Verlag, 1971.
    • (1971) Lect. Notes in Math. , pp. 218
    • Schnorr, C.-P.1
  • 49
    • 84856043672 scopus 로고
    • The mathematical theory of communication
    • 623-656
    • Shannon C. E., The mathematical theory of communication, Bell System Tech. J. 27(1948), 379-423, 623-656.
    • (1948) Bell System Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 52
    • 0002548418 scopus 로고
    • A model of set theory in which every set of reals is Lebesgue measurable
    • Solovay R., A model of set theory in which every set of reals is Lebesgue measurable, Annals of Mathematics 92(1970), 1-56.
    • (1970) Annals of Mathematics , vol.92 , pp. 1-56
    • Solovay, R.1
  • 55
    • 0008961564 scopus 로고    scopus 로고
    • PhD thesis, University of Amsterdam/ILLC, Amsterdam
    • Terwijn S. A., Computability and measure, PhD thesis, University of Amsterdam/ILLC, Amsterdam 1998.
    • (1998) Computability and Measure
    • Terwijn, S.A.1
  • 57
    • 11944262892 scopus 로고    scopus 로고
    • research report CDMTCS-212, University of Auckland
    • Terwijn S. A., Complexity and randomness, research report CDMTCS-212, University of Auckland.
    • Complexity and Randomness
    • Terwijn, S.A.1
  • 58
    • 0035633478 scopus 로고    scopus 로고
    • Computational randomness and lowness
    • Terwijn S. A. and Zambella D., Computational randomness and lowness, Journal of Symbolic Logic 66 3(2001), 1199-1205.
    • (2001) Journal of Symbolic Logic , vol.66 , Issue.3 , pp. 1199-1205
    • Terwijn, S.A.1    Zambella, D.2
  • 60
    • 0004206289 scopus 로고    scopus 로고
    • PhD Thesis, University of Heidelberg, Heidelberg
    • Wang Y., Randomness and complexity, PhD Thesis, University of Heidelberg, Heidelberg 1996.
    • (1996) Randomness and Complexity
    • Wang, Y.1
  • 61
    • 0040914306 scopus 로고    scopus 로고
    • A separation of two randomness concepts
    • Wang Y., A separation of two randomness concepts, Information Processing Letters 69 3(1999), 115-118.
    • (1999) Information Processing Letters , vol.69 , Issue.3 , pp. 115-118
    • Wang, Y.1
  • 63
    • 77951203397 scopus 로고
    • The complexity off inite objects and the development of the concepts of information and randomness by means of the theory of algorithms
    • Zvonkin A. K. and Levin L. A., The complexity off inite objects and the development of the concepts of information and randomness by means of the theory of algorithms, Russian Math. Surveys 25 6(1970), 83-124.
    • (1970) Russian Math. Surveys , vol.25 , Issue.6 , pp. 83-124
    • Zvonkin, A.K.1    Levin, L.A.2


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