| Issue |
RAIRO-Theor. Inf. Appl.
Volume 46, Number 4, October-December 2012
Special Issue: Non-Classical Models of Automata and Applications III (NCMA-2011)
|
|
|---|---|---|
| Page(s) | 479 - 493 | |
| DOI | https://doi.org/10.1051/ita/2012019 | |
| Published online | 02 August 2012 | |
Regularity of languages defined by formal series with isolated cut point∗
1
Dipartimento di Informatica, Università degli Studi di
Milano,
Via Comelico 39, 20135
Milano,
Italy
bertoni@di.unimi.it; bianchi@di.unimi.it
2
Dipartimento di Matematica, Università di Roma “La
Sapienza”
Piazzale Aldo Moro 2,
00185
Roma,
Italy
dalessan@mat.uniroma1.it
Received:
11
November
2011
Accepted:
8
June
2012
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.
Mathematics Subject Classification: 68Q45 / 68Q70
Key words: Formal power series / Hadamard quotient / regular languages
© EDP Sciences 2012
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