• DocumentCode
    1115688
  • Title

    Errors in Regular Languages

  • Author

    Thomason, Michael G.

  • Author_Institution
    Department of Computer Science, University of Tennessee
  • Issue
    6
  • fYear
    1974
  • fDate
    6/1/1974 12:00:00 AM
  • Firstpage
    597
  • Lastpage
    602
  • Abstract
    Random occurrences of three types of errors in the input to a finite automaton are considered: an α error is a deletion of one symbol from the input string; a β error is an insertion of one extra symbol; and a δ error is a change of one symbol into another symbol. A method using operators for determining regular expressions defining error-corrupted strings is developed and is employed in the construction of a finite automaton, the outputs of which are stochastically generated by Bayes´ Rule (with certain approximations) to take into account the frequencies with which strings appear as inputs and the probabilities of errors.
  • Keywords
    Bayes´ rule, errors in inputs, error operators, finite automata, regular expressions, regularity-preserving errors, stochastic automata.; Automata; Boolean functions; Computer errors; Computer science; Frequency; Helium; Information retrieval; Stochastic processes; Bayes´ rule, errors in inputs, error operators, finite automata, regular expressions, regularity-preserving errors, stochastic automata.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1974.224000
  • Filename
    1672593