THE MISSING LINK FOR ω-RATIONAL SETS, AUTOMATA, AND SEMIGROUPS

Author:

DUPARC JACQUES1,RISS MARIANE1

Affiliation:

1. LuFG Mathematische Grundlagen der Informatik, RWTH Aachen, D-52056 Aachen, Germany

Abstract

In 1997, following the works of Klaus W. Wagner on ω-regular sets, Olivier Carton and Dominique Perrin introduced the notions of chains and superchains for ω-semigroups. There is a clear correspondence between the algebraic representation of each of these operations and the automata-theoretical one. Unfortunately, chains and superchains do not suffice to describe the whole Wagner hierarchy. We introduce a third notion that completes the task undertaken by these two authors.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Classifying $$\omega $$-Regular Aperiodic k-Partitions;Descriptional Complexity of Formal Systems;2020

2. Topological Complexity of Context-Free ω-Languages: A Survey;Lecture Notes in Computer Science;2014

3. A Game Theoretical Approach to The Algebraic Counterpart of The Wagner Hierarchy : Part II;RAIRO - Theoretical Informatics and Applications;2009-03-12

4. A game theoretical approach to the algebraic counterpart of the Wagner hierarchy : Part I;RAIRO - Theoretical Informatics and Applications;2009-03-06

5. Wadge Degrees of Infinitary Rational Relations;Mathematics in Computer Science;2008-11

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