Vasin Aleksei Valer'evich

Publications in Math-Net.Ru

1. On a wide class of bases with unreliability coefficient equal to one
   
   Diskretn. Anal. Issled. Oper., 22:1 (2015),  5–18
2. On bases which contain functions dependent on five variables with unreliability coefficient 1
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 9,  3–11
3. On Bases with Unreliability Coefficient $2$
   
   Mat. Zametki, 95:2 (2014),  170–201
4. About basises with unreliability coefficient 5
   
   Prikl. Diskr. Mat. Suppl., 2014, no. 7,  113–115
5. Asymptotically reliability optimal schemes in special bases
   
   Diskretn. Anal. Issled. Oper., 20:6 (2013),  3–15
6. About basises whose unreliability coefficient equals 1
   
   Prikl. Diskr. Mat. Suppl., 2013, no. 6,  56–57
7. Sufficient conditions for realizability of Boolean functions by asymptotically optimal circuits with the unreliability $2\varepsilon$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 5,  79–82
8. On the bases in which asymptotically optimal schemes function with unreliability
   
   University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1,  64–79
9. Synthesis of asymptotically optimal reliable circuits in basis $\{\&,\lnot\}$
   
   Diskretn. Anal. Issled. Oper., 16:6 (2009),  12–22
10. On Reliability of Combinatorial Circuits in Bases Containing Functions with at Most Three Variables
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:2 (2009),  25–35


11. On asymptotically optimal schemes in the basis $\{x|y, x\downarrow y, x\&y, x\vee y, \bar{x}\}$
    
    University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  3–10
12. On asymptotically optimal schemes in the basis of $\{x\&y, x\vee y, \overline{x}\}$ with inverse faults at the outputs of the elements
    
    University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4,  2–16
13. About functions and circuits used to improve circuit reliability
    
    University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 3,  30–38