Semirings, Automata, Languages

1. Front Matter

   Pages I-IX

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2. Introduction

   • Werner Kuich, Arto Salomaa

   Pages 1-4

3. Linear Algebra

   • Werner Kuich, Arto Salomaa

   Pages 5-103

4. Automata

   • Werner Kuich, Arto Salomaa

   Pages 104-294

5. Algebraic Systems

   • Werner Kuich, Arto Salomaa

   Pages 295-363

6. Back Matter

   Pages 364-374

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Automata theory is the oldest among the disciplines constituting the subject matter of this Monograph Series: theoretical computer science. Indeed, automata theory and the closely related theory of formal languages form nowadays such a highly developed and diversified body of knowledge that even an exposition of "reasonably important" results is not possible within one volume. The purpose of this book is to develop the theory of automata and formal languages, starting from ideas based on linear algebra. By what was said above, it should be obvious that we do not intend to be encyclopedic. However, this book contains the basics of regular and context-free languages (including some new results), as well as a rather complete theory of pushdown automata and variations (e. g. counter automata). The wellknown AFL theory is extended to power series ("AFP theory"). Additional new results include, for instance, a grammatical characterization of the cones and the principal cones of context-free languages, as well as new decidability results.

• Automatentheorie
• Maschinensprache
• Variable
• automata
• automata theory
• computer science
• formal language
• formal languages
• theoretical computer science

• Institut für Algebra und Diskrete Mathematik Abteilung Theoretische Informatik, Technische Universität Wien, Wien, Austria

  Werner Kuich

• Department of Mathematics, University of Turku, Turku, Finland

  Arto Salomaa

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