On Continuous Weighted Finite Automata

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On Continuous Weighted Finite Automata
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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