On Continuous Weighted Finite Automata

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127387" target="_blank" >RIV/00216208:11320/12:10127387 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.laa.2011.10.031" target="_blank" >http://dx.doi.org/10.1016/j.laa.2011.10.031</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.laa.2011.10.031" target="_blank" >10.1016/j.laa.2011.10.031</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Continuous Weighted Finite Automata

Popis výsledku v původním jazyce

We investigate the continuity of the omega-functions and real functions defined by weighted finite automata (WFA). We concentrate on the case of average preserving WFA. We show that every continuous omega-function definable by some WFA can be defined byan average preserving WFA and then characterize minimal average preserving WFA whose omega-function or omega-function and real function are continuous. We obtain several algorithmic reductions for WFA-related decision problems. In particular, we show that deciding whether the omega-function and real function of an average preserving WFA are both continuous is computationally equivalent to deciding stability of a set of matrices. We also present a method for constructing WFA that compute continuous realfunctions.

Název v anglickém jazyce

On Continuous Weighted Finite Automata

Popis výsledku anglicky

We investigate the continuity of the omega-functions and real functions defined by weighted finite automata (WFA). We concentrate on the case of average preserving WFA. We show that every continuous omega-function definable by some WFA can be defined byan average preserving WFA and then characterize minimal average preserving WFA whose omega-function or omega-function and real function are continuous. We obtain several algorithmic reductions for WFA-related decision problems. In particular, we show that deciding whether the omega-function and real function of an average preserving WFA are both continuous is computationally equivalent to deciding stability of a set of matrices. We also present a method for constructing WFA that compute continuous realfunctions.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Linear Algebra and Its Applications

ISSN

0024-3795

e-ISSN

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Svazek periodika

2012

Číslo periodika v rámci svazku

436

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

34

Strana od-do

1791-1824

Kód UT WoS článku

000301083100002

EID výsledku v databázi Scopus

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