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Orevkov, Vladimir Pavlovich

Statistics Math-Net.Ru
Total publications: 46
Scientific articles: 38

Number of views:
This page:1119
Abstract pages:10672
Full texts:5765
References:295
Senior Researcher
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Keywords: intuitionistic predicate calculus; sequent; cut-elimination; decidable class; reduction class; complexity of proof; inverse method; resolution method; proof-search strategy; unification problem; unifier; constructive metric space.
   
Main publications:
  • Mints G., Orevkov V. P., Tammet T. Transfer of sequent calculus strategies to resolution for S4 // Proof Theory of Modal Logic, Kluwer Academic Publishers, 1996, 17–31.
  • Orevkov V. P. Complexity of proofs and their transformations in axiomatic theories // Amer. Math. Soc. Translations of mathematical monographs, v. 128, 1993.

https://www.mathnet.ru/eng/person17550
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/202739

Publications in Math-Net.Ru Citations
2020
1. V. P. Orevkov, “Upper and lower bounds on the height of proofs in sequent calculus for intuitionistic logic”, Zap. Nauchn. Sem. POMI, 497 (2020),  124–169  mathnet
2012
2. V. P. Orevkov, “Cut for resolution method”, Zap. Nauchn. Sem. POMI, 407 (2012),  111–128  mathnet  mathscinet; J. Math. Sci. (N. Y.), 199:1 (2014), 56–65  scopus
2004
3. V. P. Orevkov, “A new decidable Horn fragment of the predicate calculus”, Zap. Nauchn. Sem. POMI, 316 (2004),  147–162  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 134:5 (2006), 2403–2410
1989
4. V. P. Orevkov, “A note on a extension of Kreisel's conjecture”, Zap. Nauchn. Sem. LOMI, 176 (1989),  118–126  mathnet  mathscinet  zmath; J. Soviet Math., 59:3 (1992), 850–855
1988
5. V. P. Orevkov, “Schemes of proof in Hilbert-type axiomatic theories”, Zap. Nauchn. Sem. LOMI, 174 (1988),  132–146  mathnet  mathscinet  zmath; J. Soviet Math., 55:2 (1991), 1610–1620 3
1987
6. V. P. Orevkov, “Applications of cut elimination for obtaining bounds on the lengths of proofs”, Dokl. Akad. Nauk SSSR, 296:3 (1987),  539–542  mathnet  mathscinet  zmath; Dokl. Math., 36:2 (1988), 292–295
7. V. P. Orevkov, “Lower bounds for the lengths of deductions in arithmetic in terms of the complexity of the terms involved in the deductions”, Dokl. Akad. Nauk SSSR, 294:4 (1987),  784–787  mathnet  mathscinet  zmath
8. V. P. Orevkov, “Reconstruction of a proof by its scheme”, Dokl. Akad. Nauk SSSR, 293:2 (1987),  313–316  mathnet  mathscinet  zmath 1
1984
9. V. P. Orevkov, “Upper bounds for lengthening of proofs after cut-elimination”, Zap. Nauchn. Sem. LOMI, 137 (1984),  87–98  mathnet  mathscinet  zmath
1979
10. V. P. Orevkov, “Three ways of recognizing essential formulas in sequents”, Zap. Nauchn. Sem. LOMI, 88 (1979),  163–175  mathnet  mathscinet  zmath; J. Soviet Math., 20:4 (1982), 2351–2357 1
11. V. P. Orevkov, “Lower bounds for lengthening of proofs after cut-elimination”, Zap. Nauchn. Sem. LOMI, 88 (1979),  137–162  mathnet  mathscinet  zmath; J. Soviet Math., 20:4 (1982), 2337–2350 31
1976
12. V. P. Orevkov, “Solvable classes of pseudoprenex formulas”, Zap. Nauchn. Sem. LOMI, 60 (1976),  109–170  mathnet  mathscinet  zmath; J. Soviet Math., 14:5 (1980), 1497–1538
1974
13. V. P. Orevkov, “New proof of the uniqueness theorem for the differentiable complex-variable functions”, Zap. Nauchn. Sem. LOMI, 40 (1974),  119–126  mathnet  mathscinet  zmath
1973
14. V. P. Orevkov, “The complexity of the expansion of algebraic irrationalities in continued fractions”, Trudy Mat. Inst. Steklov., 129 (1973),  24–29  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 1929 (1973), 20–24
1972
15. V. P. Orevkov, “Undecidable classes of formulas for the constructive predicate calculus. I”, Trudy Mat. Inst. Steklov., 121 (1972),  100–108  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 121 (1972), 111–119
16. S. Yu. Maslov, V. P. Orevkov, “Decidable classes that reduce to a single quantifier class”, Trudy Mat. Inst. Steklov., 121 (1972),  57–66  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 121 (1972), 61–72
17. V. P. Orevkov, “A specialization of Gentzen-type deductions and its application”, Zap. Nauchn. Sem. LOMI, 32 (1972),  98–104  mathnet  mathscinet 1
1971
18. V. P. Orevkov, “On biconjunctive reduction classes”, Zap. Nauchn. Sem. LOMI, 20 (1971),  170–174  mathnet  mathscinet  zmath
19. V. P. Orevkov, “On the continuity of constructive functionals”, Zap. Nauchn. Sem. LOMI, 20 (1971),  160–169  mathnet  mathscinet  zmath
20. V. P. Orevkov, “The equivalence of the two definitions of recursive continuity”, Zap. Nauchn. Sem. LOMI, 20 (1971),  145–159  mathnet  mathscinet  zmath
1969
21. V. P. Orevkov, “Some properties of homeomorphisms of constructive metric spaces”, Zap. Nauchn. Sem. LOMI, 16 (1969),  157–164  mathnet  mathscinet  zmath
22. V. P. Orevkov, “On non-lengthening applications of equality rules”, Zap. Nauchn. Sem. LOMI, 16 (1969),  152–156  mathnet  mathscinet  zmath
23. G. V. Davydov, S. Yu. Maslov, G. E. Mints, V. P. Orevkov, A. O. Slisenko, “A computer algorithm for establishing deducibility, based on the inverse method”, Zap. Nauchn. Sem. LOMI, 16 (1969),  8–19  mathnet  mathscinet  zmath
1968
24. V. P. Orevkov, “On Glivenko sequent classes”, Trudy Mat. Inst. Steklov., 98 (1968),  131–154  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 98 (1968), 147–173 3
25. V. P. Orevkov, “Two unsolvable classes of formulas of classical predicate calculus”, Zap. Nauchn. Sem. LOMI, 8 (1968),  202–210  mathnet  mathscinet  zmath
26. V. P. Orevkov, “Glivenko classes of sequents”, Zap. Nauchn. Sem. LOMI, 8 (1968),  196–201  mathnet  mathscinet  zmath
1967
27. V. P. Orevkov, “On certain types of continuity of constructive operators”, Trudy Mat. Inst. Steklov., 93 (1967),  164–186  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 93 (1970), 211–239 1
28. V. P. Orevkov, “On constructive mappings of finite polyhedra”, Trudy Mat. Inst. Steklov., 93 (1967),  142–163  mathnet  mathscinet
29. V. P. Orevkov, “Unsolvability in the modal predicate calculus of the class of formulas containing only one monadic predicate variable”, Zap. Nauchn. Sem. LOMI, 4 (1967),  168–173  mathnet  mathscinet  zmath
30. G. E. Mints, V. P. Orevkov, “On embedding operations”, Zap. Nauchn. Sem. LOMI, 4 (1967),  160–167  mathnet  mathscinet  zmath 1
1965
31. V. P. Orevkov, “Unsolvability in constructive predicate calculus of a class of formulas of type $\daleth\daleth\forall\exists$”, Dokl. Akad. Nauk SSSR, 163:3 (1965),  581–583  mathnet  mathscinet  zmath
32. S. Yu. Maslov, G. E. Mints, V. P. Orevkov, “Insolvability in the constructive calculus of predicates of certain classes of formulae containing only one-place predicate variables”, Dokl. Akad. Nauk SSSR, 163:2 (1965),  295–297  mathnet  mathscinet  zmath
33. V. P. Orevkov, “Certain reduction classes and solvable classes of sequents for the constructive calculus of predicates”, Dokl. Akad. Nauk SSSR, 163:1 (1965),  30–32  mathnet  mathscinet  zmath
1964
34. V. P. Orevkov, “Certain questions of the theory of polynomials with constructive real coefficients”, Trudy Mat. Inst. Steklov., 72 (1964),  462–487  mathnet  mathscinet  zmath
35. V. P. Orevkov, “On constructive mappings of a circle into itself”, Trudy Mat. Inst. Steklov., 72 (1964),  437–461  mathnet  mathscinet  zmath
1963
36. G. E. Mints, V. P. Orevkov, “A generalization of the theorems of V. I. Glivenko and G. Kreisel to a class of formulae of the predicate calculus”, Dokl. Akad. Nauk SSSR, 152:3 (1963),  553–554  mathnet  mathscinet
37. V. P. Orevkov, “Constructive mappings of polyhedra”, Dokl. Akad. Nauk SSSR, 152:2 (1963),  278–281  mathnet  mathscinet  zmath
38. V. P. Orevkov, “A constructive map of the square into itself, which moves every constructive point”, Dokl. Akad. Nauk SSSR, 152:1 (1963),  55–58  mathnet  mathscinet  zmath

2023
39. S. N. Artemov, L. D. Beklemishev, L. Ya. Borkin, A. M. Vershik, E. A. Hirsch, E. Ya. Dantsin, I. A. Ibragimov, E. V. Kalmens, V. Ya. Kreinovich, D. A. Koubenski, A. A. Lodkin, Yu. V. Matiyasevich, B. A. Novikov, V. P. Orevkov, A. L. Semenov, A. O. Slissenko, A. Kh. Shen, “Gregory Samuilovich Tseytin (obituary)”, Uspekhi Mat. Nauk, 78:3(471) (2023),  170–176  mathnet  mathscinet; Russian Math. Surveys, 78:3 (2023), 555–561  isi
2013
40. M. A. Vsemirnov, È. A. Hirsch, D. Yu. Grigor'ev, G. V. Davydov, E. Ya. Dantsin, I. D. Zaslavskii, È. F. Karavaev, B. Yu. Konev, N. K. Kossovskii, V. A. Lifschitz, M. Margenstern, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, R. Pliuškevičius, A. O. Slisenko, S. V. Solov'ev, V. P. Chernov, “Nikolai Aleksandrovich Shanin (obituary)”, Uspekhi Mat. Nauk, 68:4(412) (2013),  173–176  mathnet  mathscinet  elib; Russian Math. Surveys, 68:4 (2013), 763–767  isi  elib  scopus
2001
41. M. A. Vsemirnov, E. A. Hirsch, D. Yu. Grigor'ev, G. V. Davydov, E. Ya. Dantsin, A. A. Ivanov, B. Yu. Konev, V. A. Lifshits, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, A. O. Slisenko, “Nikolai Aleksandrovich Shanin (on his 80th birthday)”, Uspekhi Mat. Nauk, 56:3(339) (2001),  181–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:3 (2001), 601–605  isi 1
1990
42. Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, A. O. Slisenko, “Nikolai Aleksandrovich Shanin (on his seventieth birthday)”, Uspekhi Mat. Nauk, 45:1(271) (1990),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:1 (1990), 239–240  isi 1
1984
43. G. V. Davydov, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, A. O. Slisenko, A. V. Sochilina, N. A. Shanin, “Sergei Yur'evich Maslov (obituary)”, Uspekhi Mat. Nauk, 39:2(236) (1984),  129–130  mathnet  mathscinet; Russian Math. Surveys, 39:2 (1984), 133–135  isi 4
1980
44. S. Yu. Maslov, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, A. O. Slisenko, “Nikolai Aleksandrovich Shanin (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 35:2(212) (1980),  241–245  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:2 (1980), 277–282  isi 4
1972
45. V. P. Orevkov, “Editorial”, Trudy Mat. Inst. Steklov., 121 (1972),  4  mathnet
1968
46. V. P. Orevkov, “Preface”, Trudy Mat. Inst. Steklov., 98 (1968),  3–4  mathnet

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