Formal theory of notions, concept analisys, context technology of knowledge processing, data processing, algebraic decomposition of discrete functions, Boolean calculation.
Main publications:
Multiple logic computation // Automation and Remote Control. 1998. Vol. 59, Part 2, No 6. PP. 885–891.
Time-Parallel computation // Automation and Remote Control. 1999. Vol. 60, No 12. PP. 1803–1810.
Spectral Methods in Logic Data Analysis // Automation and Remote Control. 2001. Vol. 62, No 10. PP. 1565–1587.
The Polynomial Factorization of Spectral Basis // Automation and Remote Control. 2004. Vol. 65, No 12. PP. 888–893.
Algebraic Decomposition of Discrete Functions // Automation and Remote Control. 2006. Vol. 67, No 3. PP. 361–392.
Additive algebra for signal and image processing // Proceedings of SPIE. 2005. Vol. 5822. PP. 94–97.
Description of the semantics of context-free languages by the mathematical induction method // Automatic Documentation and Mathematical Linguistics. 2008, Vol. 42, No. 4. PP. 212–220.