On bases of closed classes of Boolean vector functions

2020 ◽  
Vol 30 (4) ◽  
pp. 273-283
Author(s):  
Vladimir A. Taimanov

AbstractA functional system of Boolean vector functions with a naturally defined superposition operation is considered. It is shown that each closed class of vector functions with α- or δ-functions as components has a finite basis.

2019 ◽  
Vol 29 (2) ◽  
pp. 131-141 ◽  
Author(s):  
Vladimir A. Taimanov

Abstract The functional system of Boolean vector functions with naturally defined superposition operation is studied. Sufficient conditions for membership of a number of important vector functions in closed classes are given.


Author(s):  
Lesja Kosmii

Goal. The purpose of this work is to analyze the norms of the current labor legislation regarding the regulation of the relations between the employee and the employer in the introduction of any restrictions and anti-epidemic measures in the conditions of national quarantine and prevention in such conditions of violations of labor rights of employees. It is important that during the course of the COVID-19 coronary pandemic measures, they were not only effective but also violated human rights, including work. Method. The methodology includes a comprehensive analysis and generalization of available scientific and theoretical material, experience of foreign countries and formulation of relevant conclusions and recommendations. During the research the following methods of scientific knowledge were used: terminological, comparative, functional, system-structural, logical-normative. Results. During the research it was found that the Ukrainian legislature, including foreign experience, was able to respond promptly to the quarantine situation by adopting anti-crisis laws, which did not neglect labor legislation. This is understandable, because in connection with the announcement of quarantine in the whole territory of Ukraine, employers had to make personnel decisions, and the current legislative framework did not clearly regulate the issues that arose. Scientific novelty. The study found that the updating of labor legislation in the area of labor relations regulation during the national quarantine period allows the employer to use certain forms of labor organization, in which the basic labor rights and guarantees of employees can be preserved. Practical importance. The results of the study can be used in law-making and law enforcement activities, as well as by employers in regulating labor relations with employees during the quarantine period.


Author(s):  
Richard Compton

This chapter examines polysynthetic word formation in Inuit (Eskimo-Aleut), using the presence and variable ordering of a closed class of adverbs within verbal complexes as a diagnostic device to evaluate the adequacy of different accounts of word formation. It is argued that a head movement account of Mirror Principle orders within Inuit words undergenerates with respect to the observed variation in adverb ordering, particularly if a fixed hierarchy of adverbial functional projections is assumed, as in Cinque (1999). Instead, it is shown that an analysis that employs a right-headed structure, XP-sized phasal words, and Ernst’s (2002) semantically based framework of adverb licensing better captures the observed variation.


2000 ◽  
Vol 10 (04) ◽  
pp. 457-480 ◽  
Author(s):  
OLGA SAPIR

Let W be a finite language and let Wc be the closure of W under taking subwords. Let S(W) denote the Rees quotient of a free monoid over the ideal consisting of all words that are not in Wc. We call W finitely based if the monoid S(W) is finitely based. Although these semigroups have easy structure they behave "generically" with respect to the finite basis property [6]. In this paper, we describe all finitely based words in a two-letter alphabet. We also find some necessary and some sufficient conditions for a set of words to be finitely based.


1983 ◽  
Vol 11 (3) ◽  
pp. 59-66 ◽  
Author(s):  
Robert A. Wagner
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document