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 Diskr. Mat., 2016, Volume 28, Issue 4, Pages 91–99 (Mi dm1395)

Bounded prefix concatenation operation and finite bases with respect to the superposition

S. S. Marchenkov

Lomonosov Moscow State University

Abstract: The paper is concerned with word functions over the alphabet $\{1,2\}$. Given arbitrary one-place functions $f_1,\ldots,f_l$, the class BPC$[f_1,\ldots,f_l]$ is defined as the closure of the set of simplest word functions and the functions $f_1,\ldots,f_l$ under the operations of superposition and bounded prefix concatenation. The class BPC$[f_1,\ldots,f_l]$ is shown to have a finite basis with respect to the superposition.

Keywords: operation of bounded prefix concatenation, finite basis with respect to the superposition.

 Funding Agency Grant Number Russian Foundation for Basic Research 16-01-00593_à This research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 16-01-00593).

DOI: https://doi.org/10.4213/dm1395

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English version:
Discrete Mathematics and Applications, 2017, 27:5, 303–309

Bibliographic databases:

UDC: 519.716

Citation: S. S. Marchenkov, “Bounded prefix concatenation operation and finite bases with respect to the superposition”, Diskr. Mat., 28:4 (2016), 91–99; Discrete Math. Appl., 27:5 (2017), 303–309

Citation in format AMSBIB
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