Original title: Cut Languages in Rational Bases
Authors: Šíma, Jiří ; Savický, Petr
Document type: Research reports
Year: 2016
Language: eng
Series: Technical Report, volume: V-1236
Abstract: 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.
Keywords: cut language; quassi-periodic power series; rational base
Project no.: GBP202/12/G061 (CEP)
Funding provider: GA ČR
Rights: This work is protected under the Copyright Act No. 121/2000 Coll.

Institution: Institute of Computer Science AS ČR (web)
Original record: http://hdl.handle.net/11104/0264101

Permalink: http://www.nusl.cz/ntk/nusl-261502


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