Some Properties of String Transducers.

Abstract

The paper compares the computational power of various classes of transducers. A transducer is an automaton which transforms an input string into an output string, where both the input and output strings consist of symbols from some finite alphabet of symbols. A transducer performs its computations on a working tape of discrete squares. Each square may contain one symbol from a finite working alphabet. A transducer M is said to be a member of the class m(L(n)) of L(n) space bounded transducers if, whenever M completes a computation on an input of length n, then M makes use of no more than L(n) squares of working tape. It is shown that the class m(log(n)) is closed under finite composition. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0770836

Entities

People

  • Russell J. Abbott

Organizations

  • University of Southern California

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Alphabets
  • Automata
  • Computations
  • Finite Alphabet
  • Mathematics
  • Transducers

Fields of Study

  • Mathematics

Readers

  • Computational Linguistics
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space