Metric Lexical Analysis

  • Authors:
  • Cristian Calude;Kai Salomaa;Sheng Yu

  • Affiliations:
  • -;-;-

  • Venue:
  • WIA '99 Revised Papers from the 4th International Workshop on Automata Implementation
  • Year:
  • 1999

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Abstract

We study automata-theoretic properties of distances and quasi-distances between words. We show that every additive distance is finite. We also show that every additive quasi-distance is regularitypreserving, that is, the neighborhood of any radius of a regular language with respect to an additive quasi-distance is regular. As an application we present a simple algorithm that constructs a metric (fault-tolerant) lexical analyzer for any given lexical analyzer and desired radius (fault-tolerance index).