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Transductions and Context-Free Languages

Transductions and Context-Free Languages

Paperback

Technology & Engineering

ISBN10: 3519023407
ISBN13: 9783519023401
Publisher: Vieweg+teubner Verlag
Published: Oct 1 1979
Pages: 280
Weight: 0.62
Height: 0.60 Width: 5.00 Depth: 8.00
Language: German
This book presents a theory of formal languages with main emphasis on rational transductions and their use for the classification of context-free lan- guages. The Ievel of presentation corresponds to that of beginning graduate or advanced undergraduate work. Prerequisites for this book are covered by a standard first-semester coursein formallanguages and automata theory: e.g. a knowledge of Chapters 1-3 of Ginsburg [1966], or Chapters 3-4 of Hopcroft and Ullman [1971], or Chapter 2 of Salomaa [1973], or Chap- ters 2 and 4 of Becker and Walter [1977] would suffice. The book is self-contained in the sense that complete proofs are given for all theorems stated, except for some basic results explicitly summarized at the beginning of the text. Chapter IV and Chapters V-VIII are independent from each other. The subject matter is divided into two preliminary and six main chapters. The initial two chapters contain a general survey of the classical theory of regular and context-free languages with a detailed description of several special languages. Chapter III deals with the general theory of rational transductions, treated in an algebraic fashion along the lines of Eilenberg, and which will be used systematically in subsequent chapters. Chapter N is concerned with the important special case of rational functions, and gives a full treatment of the latest developments, including subsequential transductions, unambiguous trans- ducers and decision problems.

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