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5 - Deterministic Transducers

from Part I - Formal Background

Published online by Cambridge University Press:  29 July 2019

Stoyan Mihov  and
Klaus U. Schulz
Stoyan Mihov
Affiliation:
Bulgarian Academy of Sciences
Klaus U. Schulz
Affiliation:
Ludwig-Maximilians-Universität Munchen
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Summary

In this chapter we explore deterministic finite-state transducers. Obviously, it only makes sense to ask for determinism if we restrict attention to transducers with a functional input-output behaviour. In this chapter we focus on transducers that are deterministic on the input tape (called sequential or subsquential transducers). We shall see that only a proper subset of all regular string functions can be represented by this kind of device and we describe a decision procedure for testing whether a functional transducer can be determinized. Further we present a subsequential transducer minimization procedure based on theMyhill–Nerode relation for string functions.

Keywords

deterministic finite-state transducersubsequential finite-state transducertransducer compositionbounded variation propertytransducer determinizationminimal subsequential transducersMyhill–Nerode equivalence relationminimization of subsequential transducers
Type
Chapter
Information
Finite-State Techniques
Automata, Transducers and Bimachines
 , pp. 94 - 137
Publisher: Cambridge University Press
Print publication year: 2019

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