# Axiomatizing omega and omega-op powers of words

RAIRO - Theoretical Informatics and Applications (2010)

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

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topBloom, 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 -

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