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Diskretnaya Matematika, 2017, Volume 29, Issue 2, Pages 133–159
DOI: https://doi.org/10.4213/dm1434 (Mi dm1434) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the average-case complexity of underdetermined functions

A. V. Chashkin

Lomonosov Moscow State University
Full-text PDF (624 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1434
Abstract: The average-case complexity of computation of underdetermined functions by straight-line programs with conditional stop over the basis of all at most two-place Boolean functions is considered. Correct order estimates of the average-case complexity of functions with maximum average-case complexity among all underdetermined functions are derived depending on the degree of their determinacy, the size of their domain, and the size of their support.
Keywords: underdetermined function, Boolean function, Boolean circuit, straight-line program, average-case complexity.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00598
This work was supported by the Russian Foundation for Basic Research, project no. 14-01-00598.
Received: 16.01.2017
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 3, Pages 201–221
DOI: https://doi.org/10.1515/dma-2018-0019
Bibliographic databases:
Document Type: Article
UDC: 519.714.4
Language: Russian
Citation: A. V. Chashkin, “On the average-case complexity of underdetermined functions”, Diskr. Mat., 29:2 (2017), 133–159; Discrete Math. Appl., 28:3 (2018), 201–221
Citation in format AMSBIB
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  • https://doi.org/10.4213/dm1434
  • https://www.mathnet.ru/eng/dm/v29/i2/p133
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    References:49
    First page:28
     
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