Notes on Monotone Recognition in Multi-Valued Grids

Authors

  • Levon H. Aslanyan Institute for Informatics and Automation Problems of NAS RA
  • Hasmik A. Sahakyan Institute for Informatics and Automation Problems of NAS RA

DOI:

https://doi.org/10.51408/1963-0043

Keywords:

Monotone function recognition, multi-valued grid, cube-splitting

Abstract

A novel method of monotone recognition based on the partitioning of the grid into discrete structures isomorphic to binary cubes (called “cube-split” technique) was proposed in our recent work, and a theoretical level description of two algorithms /algorithmic schemes/ solving this problem was also introduced. This paper provides implementation details of those algorithms, as well as focuses on the recognition of monotone binary functions with a small number of units

References

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A.Serjantov, “Optimal algorithm for deciphering of some classes of monotone functions”,Journal of Computational Mathematics and Math. Physics, vol. 23, no. 1, pp. 206-212, 1983.

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G. Hansel, “Sur le nombre des fonctiones booleennes monotones de n variables”, C. R. Acad. Sci.p. 262, 1966.

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G.Tonoyan, “The successive splitting of vertices of an n-dimensional unit cube into chains and decoding problems of monotonic Boolean functions”, USSR Computational Mathematics and Mathematical Physics, vol. 19, no. 6, pp. 179-191, 1979.

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Published

2021-12-10

How to Cite

Aslanyan, L. H., & Sahakyan, H. A. (2021). Notes on Monotone Recognition in Multi-Valued Grids. Mathematical Problems of Computer Science, 52, 43–53. https://doi.org/10.51408/1963-0043