Cut Languages in Rational Bases
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00467765" target="_blank" >RIV/67985807:_____/17:00467765 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-53733-7_23" target="_blank" >http://dx.doi.org/10.1007/978-3-319-53733-7_23</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-53733-7_23" target="_blank" >10.1007/978-3-319-53733-7_23</a>
Alternative languages
Result language
angličtina
Original language name
Cut Languages in Rational Bases
Original language description
We introduce a so-called cut language which contains the representations of numbers in a rational base that are less than a given threshold. The cut languages can be used to refine the analysis of neural net models between integer and rational weights. We prove a necessary and sufficient condition when a cut language is regular, which is based on the concept of a quasi-periodic power series. For a nonnegative base and digits, we achieve a dichotomy that a cut language is either regular or non-context-free while examples of regular and non-context-free cut languages are presented. We show that any cut language with a rational threshold is context-sensitive.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Language and Automata Theory and Applications
ISBN
978-3-319-53732-0
ISSN
0302-9743
e-ISSN
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Number of pages
12
Pages from-to
311-322
Publisher name
Springer
Place of publication
Cham
Event location
Umea
Event date
Mar 6, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000418579700023