Axiomatizing omega and omega-op powers of words

Stephen L. Bloom; Zoltán Ésik

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 38, Issue: 1, page 3-17
  • ISSN: 0988-3754

Abstract

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In 1978, Courcelle asked for a complete set of axioms and rules for the equational theory of (discrete regular) words equipped with the operations of product, omega power and omega-op power. In this paper we find a simple set of equations and prove they are complete. Moreover, we show that the equational theory is decidable in polynomial time.

How to cite

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Bloom, Stephen L., and Ésik, Zoltán. "Axiomatizing omega and omega-op powers of words." RAIRO - Theoretical Informatics and Applications 38.1 (2010): 3-17. <http://eudml.org/doc/92732>.

@article{Bloom2010,
abstract = { In 1978, Courcelle asked for a complete set of axioms and rules for the equational theory of (discrete regular) words equipped with the operations of product, omega power and omega-op power. In this paper we find a simple set of equations and prove they are complete. Moreover, we show that the equational theory is decidable in polynomial time. },
author = {Bloom, Stephen L., Ésik, Zoltán},
journal = {RAIRO - Theoretical Informatics and Applications},
language = {eng},
month = {3},
number = {1},
pages = {3-17},
publisher = {EDP Sciences},
title = {Axiomatizing omega and omega-op powers of words},
url = {http://eudml.org/doc/92732},
volume = {38},
year = {2010},
}

TY - JOUR
AU - Bloom, Stephen L.
AU - Ésik, Zoltán
TI - Axiomatizing omega and omega-op powers of words
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 38
IS - 1
SP - 3
EP - 17
AB - In 1978, Courcelle asked for a complete set of axioms and rules for the equational theory of (discrete regular) words equipped with the operations of product, omega power and omega-op power. In this paper we find a simple set of equations and prove they are complete. Moreover, we show that the equational theory is decidable in polynomial time.
LA - eng
UR - http://eudml.org/doc/92732
ER -

References

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