Cut Languages in Rational Bases

0465640 - ÚI 2017 CZ eng V - Research Report
Šíma, Jiří - Savický, Petr
Cut Languages in Rational Bases.
Prague: ICS CAS, 2016. 12 s. Technical Report, V-1236.
R&D Projects: GA ČR GBP202/12/G061
Institutional support: RVO:67985807
Keywords : cut language * rational base * quassi-periodic power series
Subject RIV: IN - Informatics, Computer Science

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. We show that any cut language with a rational threshold is context-sensitive while examples of non-context-free cut languages are presented.
Permanent Link: http://hdl.handle.net/11104/0264101