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Volumn 2803, Issue , 2003, Pages 241-254

The arithmetical complexity of dimension and randomness

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

EID: 35248858826     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-45220-1_21     Document Type: Article
Times cited : (1)

References (27)
  • 6
    • 34250950477 scopus 로고
    • Dimension und äusseres Mass
    • F. Hausdorff. Dimension und äusseres Mass. Mathematische Annalen, 79:157-179, 1919.
    • (1919) Mathematische Annalen , vol.79 , pp. 157-179
    • Hausdorff, F.1
  • 7
    • 84889117795 scopus 로고    scopus 로고
    • Fractal dimension and logarithmic loss unpredictability
    • To appear
    • J. M. Hitchcock. Fractal dimension and logarithmic loss unpredictability. Theoretical Computer Science. To appear.
    • Theoretical Computer Science
    • Hitchcock, J.M.1
  • 8
    • 0037163961 scopus 로고    scopus 로고
    • MAX3SAT is exponentially hard to approximate if NP has positive dimension
    • J. M. Hitchcock. MAX3SAT is exponentially hard to approximate if NP has positive dimension. Theoretical Computer Science, 289(1):861-869, 2002.
    • (2002) Theoretical Computer Science , vol.289 , Issue.1 , pp. 861-869
    • Hitchcock, J.M.1
  • 9
    • 0037447594 scopus 로고    scopus 로고
    • Gales suffice for constructive dimension
    • J. M. Hitchcock. Gales suffice for constructive dimension. Information Processing Letters, 86(1):9-12, 2003.
    • (2003) Information Processing Letters , vol.86 , Issue.1 , pp. 9-12
    • Hitchcock, J.M.1
  • 10
    • 0000149604 scopus 로고
    • Degrees of generic sets
    • Recursion Theory: its Generalizations and Applications, Cambridge University Press
    • C. G. Jockusch. Degrees of generic sets. In Recursion Theory: its Generalizations and Applications, volume 45 of London Mathematical Society Lecture Notes Series, pages 110-139. Cambridge University Press, 1980.
    • (1980) London Mathematical Society Lecture Notes Series , vol.45 , pp. 110-139
    • Jockusch, C.G.1
  • 11
    • 33645929602 scopus 로고
    • Normal numbers and subsets of N with given densities
    • H. Ki and T. Linton. Normal numbers and subsets of N with given densities. Fundamenta Mathematicae, 144:163-179, 1994.
    • (1994) Fundamenta Mathematicae , vol.144 , pp. 163-179
    • Ki, H.1    Linton, T.2
  • 12
    • 0010721870 scopus 로고
    • Note on arithmetical models for consistent formulae of the predicate calculus
    • G. Kreisel. Note on arithmetical models for consistent formulae of the predicate calculus. Fundamenta Mathematicae, 37:265-285, 1950.
    • (1950) Fundamenta Mathematicae , vol.37 , pp. 265-285
    • Kreisel, G.1
  • 15
    • 84889114798 scopus 로고    scopus 로고
    • The dimensions of individual strings and sequences
    • To appear
    • J. H. Lutz. The dimensions of individual strings and sequences. Information and Computation. To appear.
    • Information and Computation
    • Lutz, J.H.1
  • 16
    • 18344371384 scopus 로고
    • The definition of random sequences
    • P. Martin-Löf. The definition of random sequences. Information and Control, 9:602-619, 1966.
    • (1966) Information and Control , vol.9 , pp. 602-619
    • Martin-Löf, P.1
  • 17
    • 0037120704 scopus 로고    scopus 로고
    • A Kolmogorov complexity characterization of constructive Hausdorff dimension
    • E. Mayordomo. A Kolmogorov complexity characterization of constructive Hausdorff dimension. Information Processing Letters, 84(1):1-3, 2002.
    • (2002) Information Processing Letters , vol.84 , Issue.1 , pp. 1-3
    • Mayordomo, E.1
  • 22
    • 0013373424 scopus 로고    scopus 로고
    • On the power of reading the whole infinite input tape
    • C. S. Calude and Gh. Paun, editors, Springer-Verlag
    • L. Staiger. On the power of reading the whole infinite input tape. In C. S. Calude and Gh. Paun, editors, Finite Versus Infinite: Contributions to an Eternal Dilemma, pages 335-348. Springer-Verlag, 2000.
    • (2000) Finite Versus Infinite: Contributions to An Eternal Dilemma , pp. 335-348
    • Staiger, L.1
  • 24
    • 11944262892 scopus 로고    scopus 로고
    • Technical Report CDMTCS-212, University of Auckland, March Notes for a course given at the University of Auckland
    • S. A. Terwjjn. Complexity and randomness. Technical Report CDMTCS-212, University of Auckland, March 2003. Notes for a course given at the University of Auckland.
    • (2003) Complexity and Randomness
    • Terwjjn, S.A.1
  • 25
    • 0011565585 scopus 로고
    • PhD thesis, Department of Mathematics, University of Amsterdam
    • M. van Lambalgen. Random Sequences. PhD thesis, Department of Mathematics, University of Amsterdam, 1987.
    • (1987) Random Sequences
    • Van Lambalgen, M.1
  • 27
    • 0004206289 scopus 로고    scopus 로고
    • PhD thesis, Department of Mathematics, University of Heidelberg
    • Y. Wang. Randomness and Complexity. PhD thesis, Department of Mathematics, University of Heidelberg, 1996.
    • (1996) Randomness and Complexity
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.