Regularity of languages defined by formal series with isolated cut point∗

Alberto Bertoni; Maria Paola Bianchi; Flavi D’Alessandro

RAIRO - Theoretical Informatics and Applications (2012)

  • Volume: 46, Issue: 4, page 479-493
  • ISSN: 0988-3754

Abstract

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Let Lϕ,λ = {ω ∈ Σ∗ | ϕ(ω) > λ} be the language recognized by a formal series ϕ:Σ∗ → ℝ with isolated cut point λ. We provide new conditions that guarantee the regularity of the language Lϕ,λ in the case that ϕ is rational or ϕ is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.

How to cite

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Bertoni, Alberto, Bianchi, Maria Paola, and D’Alessandro, Flavi. "Regularity of languages defined by formal series with isolated cut point∗." RAIRO - Theoretical Informatics and Applications 46.4 (2012): 479-493. <http://eudml.org/doc/277838>.

@article{Bertoni2012,
abstract = {Let Lϕ,λ = \{ω ∈ Σ∗ | ϕ(ω) > λ\} be the language recognized by a formal series ϕ:Σ∗ → ℝ with isolated cut point λ. We provide new conditions that guarantee the regularity of the language Lϕ,λ in the case that ϕ is rational or ϕ is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.},
author = {Bertoni, Alberto, Bianchi, Maria Paola, D’Alessandro, Flavi},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Formal power series; Hadamard quotient; regular languages; formal power series},
language = {eng},
month = {11},
number = {4},
pages = {479-493},
publisher = {EDP Sciences},
title = {Regularity of languages defined by formal series with isolated cut point∗},
url = {http://eudml.org/doc/277838},
volume = {46},
year = {2012},
}

TY - JOUR
AU - Bertoni, Alberto
AU - Bianchi, Maria Paola
AU - D’Alessandro, Flavi
TI - Regularity of languages defined by formal series with isolated cut point∗
JO - RAIRO - Theoretical Informatics and Applications
DA - 2012/11//
PB - EDP Sciences
VL - 46
IS - 4
SP - 479
EP - 493
AB - Let Lϕ,λ = {ω ∈ Σ∗ | ϕ(ω) > λ} be the language recognized by a formal series ϕ:Σ∗ → ℝ with isolated cut point λ. We provide new conditions that guarantee the regularity of the language Lϕ,λ in the case that ϕ is rational or ϕ is a Hadamard quotient of rational series. Moreover the decidability property of such conditions is investigated.
LA - eng
KW - Formal power series; Hadamard quotient; regular languages; formal power series
UR - http://eudml.org/doc/277838
ER -

References

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