• DocumentCode
    930514
  • Title

    On the algorithmic foundation of information theory

  • Author

    Heim, Roland

  • Volume
    25
  • Issue
    5
  • fYear
    1979
  • fDate
    9/1/1979 12:00:00 AM
  • Firstpage
    557
  • Lastpage
    566
  • Abstract
    The information content of binary sequences is defined by minimal program complexity measures and is related to computable martingales. The equivalence of the complexity approach and the martingale approach after restriction to effective random tests is used to establish generalized source coding theorems and converses. Finite state complexity and decomposable martingales are related to classical block codes and the relative frequency behavior of sequences.
  • Keywords
    Computation theory; Information theory; Martingales; Sequences; Source coding; Binary sequences; Block codes; Bridges; Frequency; Information theory; Random sequences; Sequential analysis; Source coding; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1979.1056080
  • Filename
    1056080