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Kuzichev, Alexander Sergeevich

Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 20

Number of views:
This page:734
Abstract pages:1863
Full texts:919
References:2
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Keywords: combinatory logic, lambda calculus, sequent calculus, set theory, proof theory
UDC: 510.1:517.12

Subject:

mathematical logic and foundations

   
Main publications:
  1. Kuzichev A. S., Venn diagrams, Nauka, Moscow, 1968

https://www.mathnet.ru/eng/person138793
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/189637
ISTINA https://istina.msu.ru/workers/17907951

Publications in Math-Net.Ru Citations
1988
1. A. A. Kuzichev, A. S. Kuzichev, “A conservative extension of a formal arithmetic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 6,  77–78  mathnet  mathscinet  zmath
1983
2. A. S. Kuzichev, “A theorem on consistency of the Zermelo–Fraenkel system $\mathrm{ZF}$”, Dokl. Akad. Nauk SSSR, 273:5 (1983),  1053–1057  mathnet  mathscinet  zmath
3. A. S. Kuzichev, “Arithmetic completeness of type-free logic”, Dokl. Akad. Nauk SSSR, 270:6 (1983),  1323–1327  mathnet  mathscinet  zmath
4. A. S. Kuzichev, “The consistency of Quine's system $\mathcal{N}F$”, Dokl. Akad. Nauk SSSR, 270:3 (1983),  537–541  mathnet  mathscinet  zmath
5. A. S. Kuzichev, “Arithmetically consistent $\lambda$-theories of type-free logic”, Dokl. Akad. Nauk SSSR, 268:2 (1983),  288–292  mathnet  mathscinet  zmath
6. A. S. Kuzichev, “Set theory in type-free combinatorially complete systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3,  36–42  mathnet  mathscinet  zmath
1982
7. A. S. Kuzichev, “On the representation of first order theories in type-free combinatorially complete systems”, Dokl. Akad. Nauk SSSR, 266:1 (1982),  23–27  mathnet  mathscinet  zmath
8. A. S. Kuzichev, “Axiomatic theories in combinatorially complete systems”, Dokl. Akad. Nauk SSSR, 264:3 (1982),  538–542  mathnet  mathscinet  zmath
9. A. S. Kuzichev, “Arithmetically consistent $\lambda$-theories”, Dokl. Akad. Nauk SSSR, 262:4 (1982),  795–799  mathnet  mathscinet  zmath
1981
10. A. S. Kuzichev, “Arithmetic theories constructed on the basis of lambda-conversion”, Dokl. Akad. Nauk SSSR, 261:4 (1981),  792–796  mathnet  mathscinet  zmath
1980
11. A. A. Kuzichev, A. S. Kuzichev, “On the imbedding of formal arithmetic in combinatorially complete systems”, Dokl. Akad. Nauk SSSR, 250:6 (1980),  1310–1315  mathnet  mathscinet  zmath
1979
12. A. S. Kuzichev, “Classes of objects having normal forms in the system of $\lambda$-conversion with logical operators”, Dokl. Akad. Nauk SSSR, 249:1 (1979),  41–45  mathnet  mathscinet  zmath
1978
13. A. S. Kuzichev, “On the consistency of formal arithmetic”, Dokl. Akad. Nauk SSSR, 243:5 (1978),  1123–1126  mathnet  mathscinet  zmath
14. A. S. Kuzichev, “The theorem on the midsequent in the $\mathscr{A}$-system of $\lambda$-conversion”, Dokl. Akad. Nauk SSSR, 243:1 (1978),  19–21  mathnet  mathscinet  zmath
15. A. S. Kuzichev, “A theorem on the consistency of formal arithmetic”, Dokl. Akad. Nauk SSSR, 238:2 (1978),  269–272  mathnet  mathscinet  zmath
1977
16. A. S. Kuzichev, “Formal arithmetic in the $\mathscr{A}$-system of $\lambda$-conversion”, Dokl. Akad. Nauk SSSR, 236:5 (1977),  1072–1075  mathnet  mathscinet  zmath
17. A. S. Kuzichev, “A system of $\lambda$-conversion with logical operators and an equality operator”, Dokl. Akad. Nauk SSSR, 236:4 (1977),  796–799  mathnet  mathscinet  zmath
1973
18. A. S. Kuzichev, “A $\lambda$-conversion system with a deductive operator of formal implication”, Dokl. Akad. Nauk SSSR, 212:6 (1973),  1290–1292  mathnet  mathscinet  zmath
19. A. S. Kuzichev, “Deductive-combinatorial construction of the theory of functionality”, Dokl. Akad. Nauk SSSR, 209:3 (1973),  541–543  mathnet  mathscinet  zmath
1971
20. A. S. Kuzichev, “$F^n$-systems of combinatory logic. Generalized arithmetic operators”, Dokl. Akad. Nauk SSSR, 198:4 (1971),  759–761  mathnet  mathscinet  zmath

1983
21. A. S. Kuzichev, “Correction: "Arithmetically consistent $\lambda $-theories of type-free logic"”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  10  mathnet  mathscinet

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