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The Consequences of Imre Simon’s Work in the Theory of Automata, Languages, and Semigroups

  • Jean-Eric Pin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2976)

Abstract

In this lecture, I will show how influential has been the work of Imre in the theory of automata, languages and semigroups. I will mainly focus on two celebrated problems, the restricted star-height problem (solved) and the decidability of the dot-depth hierarchy (still open). These two problems lead to surprising developments and are currently the topic of very active research. I will present the prominent results of Imre on both topics, and demonstrate how these results have been the motor nerve of the research in this area for the last thirty years.

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Jean-Eric Pin
    • 1
  1. 1.CNRS / Universitè Paris VIIFrance

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