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1 - Formal Preliminaries

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

The aim of this chapter is twofold. First, we recall a collection of basic mathematical notions that are needed for the discussions of the following chapters. Second, we have a first, still purely mathematical, look at the central topics of the book: languages, relations and functions between strings, as well as important operations on languages, relations and functions. We also introduce monoids, a class of algebraic structures that gives an abstract view on strings, languages, and relations.

Keywords

setsfunctionsrelationsalphabetswordslanguagesmonoidsstring functionsstring relationsKleene star
Type
Chapter
Information
Finite-State Techniques
Automata, Transducers and Bimachines
 , pp. 3 - 22
Publisher: Cambridge University Press
Print publication year: 2019

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