Fields of research interest: theory of algorithms, model theory, algebra, and applications in theoretical computer science. Basing on the result on the existence of non-autostable models with finite algorithmic dimension, the theory of algorithmic dimension is developed. New methods to prove infinite algorithmic dimension are found. These methods made possible a solution to the problem of characterization of spectra of algorithmic dimension for series of concrete classes of models. A criterion of decidability for homogeneous models is established. Basing on it, solutions to problems of M. Morley and of Peretyatkin–Denisov were obtained. A solution to the Malcev problem on the characterization of classes of axioms with strong epimorphisms and strong homomorphisms is given. A series of results on constructive Boolean algebras is obtained. Nilpotent groups of finite algorithmic dimension were studied. A characterization is obtained for autostability of nilpotent torsion-free groups of finite rank as well as for Abelian $p$-groups. A new method to construct computable numbering is suggested that made possible solutions to a series of problems on Friedberg numberings, on families with unique positive numbering, etc. A solution to the problem of autostability of finitary constant expansions was obtained together with American scientists R. Shore, B. Khoussainov, and P. Cholak. A solution to the problem of two-element spectrum with recursive $T$-degree was obtained together with B.Khoussainov. A problem on a family with trivial Rogers semilattice but nontrivial inclusion was solved together with S. A. Badaev. A problem on the existence of strong constructive homogeneous extensions is solved. Together with an Italian logician A. Sorbi, the Rogers semilattice of computable numberings of arithmetical sets was investigated. Together with J. Knight (USA), the structure theory of computable classes of models is suggested, a problem of characterization of $\Sigma_1^1$-relations on computable models is solved. More than 160 papers were published; among them are two manuals: "Lectures in model theory" and "Introduction to the logic and methodology of science" (with Yu. L. Ershov and K. F. Samokhvalov), monographs: "Countable Boolean algebras" (1988) and "Countable Boolean algebras and decidability" (1996, English translation 1997), "Constructive models" (1999, with Yu. L. Ershov, English translation 2000) and "Handbook of recursive mathematics" (1999, S. S. Goncharov, Yu. L. Ershov, A. Nerode, J. Remmel, V. Marek editors).
Biography
1973 — graduated with honors from the Department of Mechanics and Mathematics of Novosibirsk State University (NSU). 1974 — defended thesis for candidatskaya degree 1981 — defended thesis for doctorskaya degree. A list of my works conteins more then 160 titles. I am superwisor of seminars at Novosibirsk Uninversity and Sobolev Institute of Mathematics.
1976 — won Lenin Komsomol Prize on science and technology for a series of works on constructive Boolean Algebras. 1977 — became an assistant professor at NSU. 1982 — was awarded with a Silver badge of "Algebra and Logic" Seminar for research activity. 1983 — won Siberian Branch of Russian Academy of Sciences Prize for establishing the theory of semantic programming in cooperation with academician Yu. L. Ershov and doctor of physical and mathematical sciences D. I. Sviridenko. 1985 — became a professor at NSU. 1991 — became an elector at Russian Academy of Sciences. 1993 — was elected to be a corresponding member of the Academy of Sciences of Higher School. 1995 — was elected to be a full member of the International Academy of Sciences of Higher School. 1996 — the dean of the Department of Mechanics and Mathematics NSU. 1997 — was elected to be a corresponding member of the Russian Academy of Sciences. 1997 — Mal'sev prize of Russian Academy of Sciences. I am supervisor of an RFFI grant, co-supervisor of INTAS, INTAS-RFFI grants; investigator of RFFI-DFG grant, of Russian-American grant, and of the Marsden grant of Royal Society of New Zealand.
Main publications:
Goncharov S. S. Countable Boolean algebras and decidability. Siberian School of Algebra and Logic, New-York, NY: Plenum. xii, 1997, 318 p.
Goncharov S. S., Ershov Yu. L. Constructive models. Kluwer Academic / Plenum Press Consultants Burean, xii, New-York, 2000, 293 p.
Goncharov S. S., Khoussainov B. On the spectrum of degrees of decidable relations // Dokl. Math., 1997, 55(1), 55–57.
Goncharov S. S., Khoussainov B., Cholak P., Shore R. Computably categorical structures and expansions by constants // J. Symb. Log., 1999, 64(1), 13–37.
Goncharov S. S. (ed.), Ershov Yu. L. (ed.), Nerode A. (ed.), Remmel J. B. (ed.), Marek V. (ed.). Handbook of Recursive Mathematics. Studies in Logic and the Foundations of Mathematics. 138, 139. Amsterdam: Elsevier. xlvi, 1998, 1372 p.
A. N. Abyzov, L. D. Beklemishev, S. S. Goncharov, Yu. L. Ershov, I. Sh. Kalimullin, V. L. Selivanov, A. L. Semenov, A. Tuganbaev, M. Kh. Faizrahmanov, “Marat Mirzaevich Arslanov (on his eightieth birthday)”, Russian Math. Surveys, 79:2 (2024), 369–373
2.
Yu. L. Ershov, S. S. Goncharov, A. V. Vasil'ev, M. A. Grechkoseeva, P. S. Kolesnikov, N. S. Romanovskii, A. N. Ryaskin, E. I. Khukhro, “Victor Danilovich Mazurov (on his 80-th birthday)”, Sib. elektron. matem. izv., 21:1 (2024), 266–270
2023
3.
Yu. L. Ershov, S. S. Goncharov, A. V. Vasil'ev, M. A. Grechkoseeva, P. S. Kolesnikov, N. S. Romanovskii, A. N. Ryaskin, E. I. Khukhro, “Viktor Danilovich Mazurov (on his 80th birthday)”, Algebra Logika, 62:1 (2023), I–V
2022
4.
S. A. Badaev, S. S. Goncharov, Algebra Logika, 61:3 (2022), 334–340
5.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, V. G. Bardakov, N. V. Bayanova, V. V. Bludov, L. A. Bokut', S. V. Varaksin, A. V. Vasil'ev, E. P. Vdovin, M. A. Grechkoseeva, A. V. Zenkov, P. S. Kolesnikov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, N. A. Peryazev, A. G. Pinus, K. N. Ponomarev, A. M. Popova, V. N. Remeslennikov, V. A. Roman'kov, N. S. Romanovskii, E. I. Timoshenko, V. A. Churkin, I. P. Shestakov, “In memory of Valeriy Matveevich Kopytov”, Algebra Logika, 61:6 (2022), I–IV
2021
6.
S. S. Goncharov, M. I. Marchuk, “The degree of decidable categoricity of a model with infinite solutions for complete formulas”, Algebra and Logic, 60:3 (2021), 200–206
7.
V. S. Atabekyan, L. D. Beklemishev, V. M. Buchstaber, S. S. Goncharov, V. S. Guba, Yu. L. Ershov, V. V. Kozlov, I. G. Lysenok, S. P. Novikov, Yu. S. Osipov, M. R. Pentus, V. V. Podolskii, A. A. Razborov, V. A. Sadovnichii, A. L. Semenov, A. L. Talambutsa, D. V. Treschev, L. N. Shevrin, “Sergei Ivanovich Adian (obituary)”, Russian Math. Surveys, 76:1 (2021), 177–181
2020
8.
S. Goncharov, S. Ospichev, D. Ponomaryov, D. Sviridenko, “The expressiveness of looping terms in the semantic programming”, Sib. elektron. matem. izv., 17 (2020), 380–394;
L. D. Beklemishev, A. V. Vasil'ev, E. P. Vdovin, S. S. Goncharov, V. V. Kozlov, P. S. Kolesnikov, V. D. Mazurov, Yu. V. Matiyasevich, A. S. Morozov, A. N. Parshin, V. G. Puzarenko, M. V. Schwidefsky, “Yurii Leonidovich Ershov (on his 80th birthday)”, Russian Math. Surveys, 75:3 (2020), 581–585
2019
10.
Goncharov S.S., Sviridenko D.I., “Logical Language of Description of Polynomial Computing”, Doklady Mathematics, 99:2 (2019), 121–124
11.
S. S. Goncharov, R. Miller, V. Harizanov, “Turing degrees of complete formulas of almost prime models”, Algebra and Logic, 58:3 (2019), 282–287
12.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, B. S. Baizhanov, B. Sh. Kulpeshov, P. E. Alaev, A. V. Vasil'ev, E. V. Vasil'ev, E. P. Vdovin, V. V. Verbovskii, A. A. Vikent'ev, D. Yu. Vlasov, M. A. Grechkoseeva, V. N. Zhelyabin, P. S. Kolesnikov, V. M. Kopytov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. V. Ovchinnikova, S. P. Odintsov, D. E. Pal'chunov, N. A. Peryazev, A. G. Pinus, L. N. Pobedin, A. P. Pozhidaev, B. Poizat, V. G. Puzarenko, D. O. Revin, V. N. Remeslennikov, N. S. Romanovskii, A. N. Ryaskin, S. S. Starchenko, A. A. Stepanova, S. V. Sudoplatov, E. I. Timoshenko, D. A. Tusupov, N. G. Khisamiev, V. A. Churkin, Z. Chatzidakis, M. V. Schwidefsky, K. M. Shegirov, I. P. Shestakov, “Evgenii Andreevich Palyutin (1945–2018)”, Sib. Èlektron. Mat. Izv., 16 (2019), 1–10
13.
S. I. Adian, N. N. Andreev, L. D. Beklemishev, S. S. Goncharov, Yu. L. Ershov, Yu. V. Matiyasevich, Yu. S. Osipov, M. R. Pentus, V. A. Plungyan, E. V. Rakhilina, V. A. Sadovnichii, A. L. Semenov, S. G. Tatevosov, V. M. Tikhomirov, A. Kh. Shen, “Vladimir Andreevich Uspensky (27/11/1930–27/6/2018)”, Russian Math. Surveys, 74:4 (2019), 735–753
2018
14.
S. S. Goncharov, D. I. Sviridenko, “Recursive terms in semantic programming”, Siberian Math. J., 59:6 (2018), 1014–1023
15.
Goncharov S.S., Knight J.F., Souldatos I., “Hanf number for Scott sentences of computable structures”, Archive for Mathematical Logic, 57:7–8 (2018), 889–907
2017
16.
S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of the groups autostable relative to strong constructivizations”, Siberian Math. J., 58:1 (2017), 72–77
17.
S. S. Goncharov, “Conditional terms in semantic programming”, Siberian Math. J., 58:5 (2017), 794–800
2015
18.
S. S. Goncharov, M. I. Marchuk, “Index sets of constructive models of nontrivial signature autostable relative to strong constructivizations”, Dokl. Math., 91:2 (2015), 158–159
19.
S. S. Goncharov, M. I. Marchuk, “Index sets of constructive models of bounded signature that are autostable relative to strong constructivizations”, Algebra and Logic, 54:2 (2015), 108–126
20.
S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of Boolean algebras autostable relative to strong constructivizations”, Siberian Math. J., 56:3 (2015), 393–404
21.
S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “Indeksnye mnozhestva avtoustoichivykh otnositelno silnykh konstruktivizatsii konstruktivnykh modelei estestvennykh klassov”, Dokl. AN, 464:1 (2015), 12–14
22.
S. S. Goncharov, M. I. Marchuk, “Indeksnye mnozhestva avtoustoichivykh otnositelno silnykh konstruktivizatsii konstruktivnykh modelei konechnoi signatury i signatury grafov”, Algebra i logika, 2015 (to appear)
23.
S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “Indeksnoe mnozhestvo avtoustoichivykh otnositelno silnykh konstruktivizatsii lineinykh poryadkov”, Vestn. NGU. Ser. matem., mekh., inform., 15:3 (2015) (to appear)
2017
24.
S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of linear orderings that are autostable relative to strong constructivizations”, J. Math. Sci., 221:6 (2017), 840–848
2015
25.
E. B. Fokina, S. S. Goncharov, V. Harizanov, O. V. Kudinov, D. Turetsky, “Index sets for $n$-decidable structures categorical relative to $m$-decidable presentations”, Algebra and Logic, 54:4 (2015), 336–341
26.
S. S. Goncharov, M. I. Marchuk, “Index sets of constructive models of finite and graph signatures that are autostable relative to strong constructivizations”, Algebra and Logic, 54:6 (2015), 428–439
27.
S. S. Goncharov, V. D. Mazurov, L. L. Maksimova, A. S. Morozov, E. P. Vdovin, A. V. Vasil'ev, E. A. Palyutin, A. A. Nikitin, M. V. Schwidefsky, L. A. Bokut', I. P. Shestakov, E. I. Khukhro, “Yurii Leonidovich Ershov (on the occasion of his 75th birthday)”, Sibirsk. Mat. Zh., 56:3 (2015), 477–480
2014
28.
S. A. Badaev, S. S. Goncharov, “Generalized computable universal numberings”, Algebra and Logic, 53:5 (2014), 355–364
2015
29.
S. S. Goncharov, “Index Sets of Almost Prime Constructive Models”, J. Math. Sci., 205:3 (2015), 355–367
30.
S. S. Goncharov, M. I. Marchuk, “Index Sets of Autostable Relative to Strong Constructivizations Constructive Models”, J. Math. Sci., 205:3 (2015), 368–388
2013
31.
S. S. Goncharov, Yu. L. Ershov, V. M. Levchuk, V. D. Mazurov, V. I. Senashov, A. I. Sozutov, N. S. Chernikov, “Vladimir Petrovich Shunkov (obituary)”, Russian Math. Surveys, 68:4 (2013), 769–771
32.
P. E. Alaev, O. V. Bogopolski, A. V. Vasil'ev, S. S. Goncharov, Yu. L. Ershov, V. D. Mazurov, L. L. Maksimova, A. S. Morozov, S. P. Odintsov, D. E. Palchunov, V. G. Puzarenko, V. V. Rybakov, K. L. Rychkov, A. N. Ryaskin, I. A. Taimanov, A. S. Filyurin, D. G. Khramtsov, V. A. Churkin, “Sergei Ilyich Mardaev (6.04.1962–10.04.2013)”, Sib. Èlektron. Mat. Izv., 10 (2013), 30–34
2012
33.
Goncharov S. S., “Problems of autostability and spectrum of autostability”, The Bulletin of Symbolic Logic, 18:3 (2012), 422-423
A. A. Borovkov, S. K. Godunov, S. S. Goncharov, A. N. Konovalov, I. A. Lavrov, V. D. Mazurov, L. L. Maksimova, A. A. Mal'tsev, B. G. Mikhailenko, A. S. Morozov, A. A. Nikitin, E. A. Palyutin, Yu. G. Reshetnyak, “Yurii Leonidovich Ershov (on his seventieth birthday)”, Russian Math. Surveys, 66:1 (2011), 199–203
2010
40.
S. S. Goncharov, “On autostability of almost prime models relative to strong constructivizations”, Russian Math. Surveys, 65:5 (2010), 901–935
41.
Goncharov S.S., Drobotun B.N., Nikitin A.A., “K PROBLEME FORMIROVANIYa I RAZVITIYa FUNDAMENTALNYKh OSNOV LOGIChESKOGO OBRAZOVANIYa V SREDNEI OBSchEOBRAZOVATELNOI ShKOLE (I)”, Pedagogicheskie zametki, 3 (2010) , 13 pp.
S. S. Goncharov, A. G. Kusraev, S. S. Kutateladze, I. A. Lavrov, V. D. Mazurov, A. S. Morozov, M. V. Semenova, “Yurii Leonidovich Ershov (on his seventieth birthday)”, Vladikavkaz. Mat. Zh., 12:2 (2010), 75–78
2009
44.
S. S. Goncharov, “Autostability of prime models under strong constructivizations”, Algebra and Logic, 48:6 (2009), 410–417
Calvert, W.; Goncharov, S. S.; Knight, J. F.; et al., “Categoricity of computable infinitary theories”, Archive For Mathematical Logic, 48:1 (2009) , 13 pp. http://link.springer.com/article/10.1007
Goncharov S.S., “ON TWO PROBLEMS OF TURING COMPLEXITY FOR STRONGLY MINIMAL THEORIES”, Doklady Mathematics, 77:3 (2008), 438-440
52.
Goncharov S.S., Kogabaev N.T., “O $\Sigma$01-KLASSIFIKATsII OTNOShENII NA VYChISLIMYKh STRUKTURAKh”, Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: Matematika, mekhanika, informatika, 8 (2008) , 9 pp.
53.
Serikzhan Badaev, Sergey Goncharov, “Computability and Numberings”, New Computational Paradigms Changing Conceptions of What is Computable, http://link.springer.com/book/10.1007/978-0-387-68546-5, ISBN: 978-0-387-36033-1 (Print) 978-0-387-68546-5 (Online), Springer, 2008, 19-34http://link.springer.com/chapter/10.1007/978-0-387-68546-5_2
S. S. Goncharov, N. T. Kogabaev, “On $\Sigma^0_1$-Classification of Relations on Computable Structures”, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 8:4 (2008), 23–32
57.
S. S. Goncharov, “Algorithmic Compexity of Countable Models of Strongly Minimal Theories”, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 8:2 (2008), 38–53
58.
S. S. Goncharov, B. N. Drobotun, “About the Role of the Mathematical Logic in Education”, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 8:1 (2008), 15–25
2007
59.
Calvert W., Fokina E., Goncharov S.S., Kudinov O., Morozov A.S., Puzarenko V., Knight J.F., “INDEX SETS FOR CLASSES OF HIGH RANK STRUCTURES”, Journal of Symbolic Logic, 72:4 (2007), 1418-1432
Goncharov S. S., “Computability and Computable Models”, Mathematical Problems from Applied Logic II International Mathematical Series. Vol. 5, Editors: Dov M. Gabbay, Michael Zakharyaschev, Sergei S. Goncharov, Springer, 2007, 99-216http://link.springer.com/chapter/10.1007/978-0-387-69245-6_3
61.
Goncharov S.S., MATEMATIChESKAYa LOGIKA uchebnoe posobie, / S. S. Goncharov ; Federalnoe agentstvo po obrazovaniyu, Novosibirskii gos. un-t, Mekh.-mat. fak.. Novosibirsk, Tom Ch. 1, 2007
2006
62.
S. A. Badaev, S. S. Goncharov, A. Sorbi, “Isomorphism types of Rogers semilattices for families from different levels of the arithmetical hierarchy”, Algebra and Logic, 45:6 (2006), 361–370
63.
S. S. Goncharov, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 6:3 (2006), 3–4
64.
S. S. Goncharov, “Aleksandr Vasil'evich Kazhikhov. 1946–2005”, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 6:2 (2006), 3–5
2005
65.
S. A. Badaev, S. S. Goncharov, A. Sorbi, “Elementary Theories for Rogers Semilattices”, Algebra and Logic, 44:3 (2005), 143–147
66.
S. S. Goncharov, V. S. Harizanova, J. F. Knight, A. S. Morozov, A. V. Romina, “On automorphic tuples of elements in computable models”, Siberian Math. J., 46:3 (2005), 405–412
67.
Goncharov S., Harizanov V., Knight J., McCoy C., Miller R., Solomon R., “ENUMERATIONS IN COMPUTABLE STRUCTURE THEORY”, Annals of Pure and Applied Logic, 136:3 (2005) , 7 pp.
S. S. Goncharov, A. S. Morozov, S. P. Odintsov, “9th Asian Logic Conference, Novosibirsk, Russia, 16–19 August 2005”, Sib. Èlektron. Mat. Izv., 2 (2005), 10–11
2004
69.
S. S. Goncharov, B. Khoussainov, “Complexity of Categorical Theories with Computable Models”, Algebra and Logic, 43:6 (2004), 365–373
70.
S. S. Goncharov, Ch. F. McCoy, J. F. Knight, V. S. Harizanova, “Relatively Hyperimmune Relations on Structures”, Algebra and Logic, 43:2 (2004), 94–101
71.
Goncharov S.S., Harizanov V.S., Knight J.F., Shore R.A., “$\Pi^1_1$ RELATIONS AND PATHS THROUGH $O$”, Journal of Symbolic Logic, 69:2 (2004), 585-611
S. S. Goncharov, R. Downey, D. Hirschfeldt, “Degree Spectra of Relations on Boolean Algebras”, Algebra and Logic, 42:2 (2003), 105–111
73.
M. M. Lavrent'ev, Yu. L. Ershov, S. S. Kutateladze, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. G. Reshetnyak, V. G. Romanov, V. D. Mazurov, “Sergei L'vovich Sobolev”, Sibirsk. Mat. Zh., 44:5 (2003), 953–960
74.
Goncharov S.S., Lempp S., Solomon R., “THE COMPUTABLE DIMENSION OF ORDERED ABELIAN GROUPS”, Advances in Mathematics, 175:1 (2003), http://www.sciencedirect.com/science/article/pii/S0001870802000427 , 41 pp. http://www.sciencedirect.com/science/article/pii/S0001870802000427
Goncharov S.S., Harizanov V.S., Laskowski M.C., Lempp S., McCoy C.F.D., “TRIVIAL, STRONGLY MINIMAL THEORIES ARE MODEL COMPLETE AFTER NAMING CONSTANTS”, Proceedings of the American Mathematical Society, 131:12 (2003), 3901-3912
Serikzhan Badaev, Sergey Goncharov, Andrea Sorbi, “Completeness and Universality of Arithmetical Numberings”, Computability and Models The University Series in Mathematics, Springer, 2003, 11-44
77.
S. S. Goncharov, V. S. Harizanov, J. F. Knight, C. F. D. McCoy, “Simple and immune relations on countable structures”, Arch. Math. Logic, 42:3 (2003), 279–291
S. S. Goncharov, A. E. Gutman, Yu. L. Ershov, S. S. Kutateladze, V. L. Makarov, A. M. Nakhushev, Yu. G. Reshetnyak, V. M. Tikhomirov, G. N. Shotaev, “Anatoliĭ Georgievich Kusraev (on the occasion of his fiftieth birthday)”, Vladikavkaz. Mat. Zh., 5:1 (2003), 5–7
79.
[A.A. Nikiti, I.V. Silantev, S.S. Goncharov i dr., SPETsIALIZIROVANNOE OBRAZOVANIE, Pod red. A.A. Nikitina i I.V. Silanteva; Predisl. N.L. Dobretsova; M-vo obrazovaniya Ros. Federatsii, Novosib. gos. un-t. Spetsializir. ucheb.-nauch. tsentr fiz.-mat. i khim.-biol. profilya. Novosibirsk,, 2003
2002
80.
S. S. Goncharov, J. F. Knight, “Computable Structure and Non-Structure Theorems”, Algebra and Logic, 41:6 (2002), 351–373
81.
S. S. Goncharov, S. Lempp, R. Solomon, “Friedberg Numberings of Families of $n$-Computably Enumerable Sets”, Algebra and Logic, 41:2 (2002), 81–86
Goncharov, SS; Khusainov, BK, “Complexity of categorical theories with computable models”, Doklady Mathematics, 66:1 (2002) , 52-54 pp.
84.
Goncharov, SS; Khusainov, BK, “Complexity of categorical theories with computable models”, Doklady Mathematics, 66:1 (2002) , 5 pp.
2001
85.
S. A. Badaev, S. S. Goncharov, “Rogers Semilattices of Families of Arithmetic Sets”, Algebra and Logic, 40:5 (2001), 283–291
86.
M. M. Lavrent'ev, V. L. Beresnev, I. S. Borisov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, A. A. Mogul'skii, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 42:2 (2001), 243–248
2000
87.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, S. S. Kutateladze, P. I. Plotnikov, Yu. G. Reshetnyak, V. G. Romanov, “Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)”, Sibirsk. Mat. Zh., 41:5 (2000), 969–983
88.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, V. D. Mazurov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Yurii Leonidovich Ershov (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 41:2 (2000), 243–246http://www.researcherid.com/rid/J-7221-2013
89.
S. S. Goncharov, I. A. Lavrov, V. D. Mazurov, A. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. A. Palyutin, D. M. Smirnov, “Yuri Leonidovich Ershov (on his 60th birthday)”, Russian Math. Surveys, 55:6 (2000), 1193–1204
90.
S. S. Goncharov, I. A. Lavrov, V. D. Mazurov, A. A. Maltsev, A. A. Nikitin, A. S. Morozov, E. A. Palyutin, D. M. Smirnov, “Yurii Leonidovich Ershov (k shestidesyatiletiyu so dnya rozhdeniya)”, Vladikavk. matem. zhurn., 2:2 (2000), 3–9
1999
91.
Ershov Yu. L., Goncharov S. S., Konstruktivnye modeli, (Sibirskaya shkola algebry i logiki), Nauchnaya kniga, Novosibirsk, 1999 , 360 pp.
92.
Cholak, P; Goncharov, S; Khoussivnov, B; et al., “Computably categorical structures and expansions by constants Volume: 64 Issue: 1 Pages: 13-37 Published: MAR 1999”, Journal of Symbolic Logic, 64:1 (1999) , 24 pp.
CONSTRUCTIVE MODELS Ershov Yu.L., Goncharov S.S., “CHAPTER 2 ELEMENTARY THEORIES AND THEIR”, Studies in Logic and the Foundations of Mathematics, 138 (1998), http://www.sciencedirect.com/science/article/pii/S0049237X98800037 , 115-165 pp. http://www.sciencedirect.com/science/article/pii/S0049237X98800037
Goncharov, SS, “Decidable Boolean algebras of low level”, Annals of Pure and Applied Logic, 94:1-3 (1998), http://www.sciencedirect.com/science/article/pii/S0168007297000687 , 20 pp.
95.
Goncharov S.S., “Chapter 6 Autostable models and algorithmic dimensions Original Volume 138, 1998,”, Studies in Logic and the Foundations of Mathematics, 138 (1998), http://www.sciencedirect.com/science/article/pii/S0049237X98800074 , 17 pp.
96.
Y.L. Ershov, S.S. Goncharov, A. Nerode, J.B. Remmel, “Introduction to the handbook of Recursive Mathematics”, Studies in Logic and the Foundations of Mathematics, 138 (1998), http://www.sciencedirect.com/science/article/pii/S0049237X98800013 , vii-xlvi pp.
97.
Y.L. Ershov, S.S. Goncharov, A. Nerode, J.B. Remmel, “Introduction to the handbook of recursive mathematics”, Studies in Logic and the Foundations of Mathematics, 139 (1998), vii-xlvi
98.
S. S. Goncharov, S. A. Badaev, “Families with one-element Rogers semilattice”, Algebra and Logic, 37:1 (1998), 21–34
1997
99.
Goncharov S.S., Khusainov B., “ON THE SPECTRUM OF DEGREES OF DECIDABLE RELATIONS”, Doklady Mathematics, 55:1 (1997) , 7 pp.
100.
Goncharov S. S., Countable Boolean algebras and decidability, Siberian School of Algebra and Logic, NY: Plenum. XII, Siberian School of Algebra and Logic, New-York, NY: Plenum. xii, New-York, 1997 , 318 s. pp.
101.
Goncharov, SS; Khusainov, B, “On degrees spectra of decidable relations”, Doklady Akademii Nauk, 352:3 (1997), 301-303
102.
Goncharov, Sergei S., Countable Boolean Algebras and Decidability, Algebraic Properties of Boolean Algebras. Elementary Classification of Boolean Algebras. Constructive Boolean Algebras. Index., Siberian School of Algebra and Logic, Springer, 1997 http://www.springer.com/mathematics/algebra/book/978-0-306-11061-0
103.
S. S. Goncharov, A. Sorbi, “Generalized computable numerations and nontrivial Rogers semilattices”, Algebra and Logic, 36:6 (1997), 359–369
1996
104.
Goncharov S. S., Schetnye bulevy algebry i razreshimost, Sibirskaya shkola algebry i logiki, Nauchnaya kniga, Novosibirsk, 1996 , 373 pp.
105.
Badaev, SA; Goncharov, SS; Ershov, YL; et al., “On computable minimal enumerations”, Algebra, 1996 , 21-33 pp.
1995
106.
S. S. Goncharov, M. Pourmahdian, “Iterated expansions of models for countable theories and their applications”, Algebra and Logic, 34:6 (1995), 346–358
1994
107.
S. S. Goncharov, “A unique positive enumeration”, Siberian Adv. Math., 4:1 (1994), 52–64
1993
108.
S. S. Goncharov, “Computable classes of constructivizations for models of finite computability type”, Siberian Math. J., 34:5 (1993), 812–824
109.
GONCHAROV, SS, “POSITIVE COMPUTABLE ENUMERATIONS”, Doklady Akademii Nauk, 332:2 (1993) , 2 pp.
110.
Goncharov S. S., “Effectively infinite classes of weak constructivizations of models”, Algebra and Logic Plenum Publ.Corp.,, 32:6 (1993), 342-360
S. S. Goncharov, A. Yakhnis, V. Yakhnis, “Effectively infinite classes of enumerations”, Siberian Adv. Math., 3:1 (1993), 94–120
113.
V. N. Vlasov, S. S. Goncharov, “Strong constructibility of Boolean algebras of elementary characteristic $(1,1,0)$”, Algebra and Logic, 32:6 (1993), 334–341
1994
114.
S. S. Goncharov, “Positive computable enumerations”, Dokl. Math., 48:2 (1994), 268–270
1992
115.
S. S. Goncharov, “Semeistva s edinstvennoi pozitivnoi numeratsiei”, Vychisl. sistemy, 146 (1992), 96–104
1991
116.
S. S. Goncharov, “Ob odnom sposobe effektivnoi realizatsii programm v semanticheskom programmirovanii”, Vychisl. sistemy, 139 (1991), 117–123
1990
117.
S. S. Goncharov, Yu. L. Ershov, M. M. Lavrent'ev, L. L. Maksimova, T. G. Mustafin, S. P. Novikov, E. A. Palyutin, M. G. Peretyat'kin, Yu. G. Reshetnyak, D. M. Smirnov, “Asan Dabsovich Taimanov (obituary)”, Russian Math. Surveys, 45:5 (1990), 213–215
1989
118.
S. S. Goncharov, A. V. Molokov, N. S. Romanovskii, “Nilpotent groups of finite algorithmic dimension”, Siberian Mathematical Journal, 30:1 (1989) , 6 pp.
1991
119.
S. S. Goncharov, “The characterization of axiomatizable classes with strong epimorphisms”, Sib. Adv. Math., 1:2 (1991), 57–76
1989
120.
S. S. Goncharov, B. N. Drobotun, “Algorithmic dimension of nilpotent groups”, Siberian Math. J., 30:2 (1989), 210–217
121.
S. S. Goncharov, D. I. Sviridenko, “Logicheskoe programmirovanie v shirokom smysle”, Vychisl. sistemy, 129 (1989), 3–48
122.
S. S. Goncharov, “Characterization of axiomatizable classes with strong epimorphisms”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 12 (1989), 24–39
123.
A. T. Gainov, S. S. Goncharov, Yu. L. Ershov, Д. А. Захаров, E. N. Kuz'min, L. L. Maksimova, Yu. I. Merzlyakov, D. M. Smirnov, A. D. Taimanov, V. K. Kharchenko, E. I. Khukhro, Algebra Logika, 28:6 (1989), 615–618
124.
A. D. Bol'bot, S. S. Goncharov, V. A. Gorbunov, Yu. L. Ershov, E. N. Kuz'min, V. D. Mazurov, Yu. I. Merzlyakov, E. A. Palyutin, V. K. Kharchenko, E. I. Khukhro, “Dmitriĭ Matveevich Smirnov (on the occasion of his seventieth birthday)”, Algebra Logika, 28:5 (1989), 491–492
1988
125.
S. S. Goncharov, “Semeistvo s edinstvennoi odnoznachnoi, no ne naimenshei numeratsiei”, Tr. In-ta matematiki SO AN SSSR, 8 (1988), 42–58
126.
S. S. Goncharov, “A family with a unique univalent but not least numeration”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 8 (1988), 42–58
1987
127.
Yu. L. Ershov, S. S. Goncharov, D. I. Sviridenko, “Semantic foundations of programming”, Lecture Notes in Computer Science, 278 (1987), 116-122
S. S. Goncharov, “Axiomatizable classes with strong homomorphisms”, Studia Logica, 46:2 (1987), 113–120
129.
S. S. Goncharov, V. D. Dzgoev, “Pozitivnye modeli i abstraktnye tipy dannykh”, Vychisl. sistemy, 122 (1987), 47–58
130.
S. S. Goncharov, D. I. Sviridenko, “$\Sigma^{+}$-programmy i ikh semantiki”, Vychisl. sistemy, 120 (1987), 24–51
1986
131.
S. S. Goncharov, D. I. Sviridenko, “Theoretical aspects of $\Sigma$-programming”, Lecture Notes in Computer Science, 215 (1986) , 10 pp.
132.
S. S. Goncharov, D. I. Sviridenko, “Mathematical principles of semantic programming”, Doklady Akademii Nauk SSSR, 289:6 (1986), 1324-1328
133.
S. S. Goncharov, “Teoriya spiskov i ee modeli”, Vychisl. sistemy, 114 (1986), 84–95
134.
S. S. Goncharov, “Zamechanie ob aksiomakh spisochnoi nadstroiki GES”, Vychisl. sistemy, 114 (1986), 11–15
135.
S. S. Goncharov, “Ob aksiomakh dlya klassov s silnymi gomomorfizmami”, Vychisl. sistemy, 116 (1986), 140–155
1985
136.
C. J. Ash, S. S. Goncharov, “Strong $\Delta^0_2$-categoricity”, Algebra and Logic, 24:6 (1985), 471–476
137.
S. S. Goncharov, “Axioms for classes with strong epimorphisms”, Proceedings of the third Easter conference on model theory (Gross Köris, 1985), Seminarberichte, 70, Humboldt Univ., Berlin, 1985, 99–102
138.
S. S. Goncharov, “Strongly constructive models”, Proceedings of the third Easter conference on model theory (Gross Köris, 1985), Seminarberichte, 70, Humboldt Univ., Berlin, 1985, 103–114
1989
139.
S. S. Goncharov, “Data models and languages for their description”, Am. Math. Soc. Translations – Series 2, 143 (1989), 139–152
140.
S. S. Goncharov, D. I. Sviridenko, “$\Sigma$-programming”, Am. Math. Soc. Translations – Series 2, 142 (1989), 101–121
1984
141.
S. S. Goncharov, A. A. Novikov, “Examples of nonautostable systems”, Siberian Math. J., 25:4 (1984), 538–545
1983
142.
S. S. Goncharov, “Universal recursively enumerable Boolean algebras”, Siberian Math. J., 24:6 (1983), 852–858
143.
S. S. Goncharov, “Positive numerations of families with one-valued numerations”, Algebra and Logic, 22:5 (1983), 345–350
1982
144.
S. S. Goncharov, “Predelno ekvivalentnye konstruktivizatsii”, Tr. In-ta matematiki SO AN SSSR, 2, Institut matematiki SO AN SSSR, 1982, 4–12
145.
S. S. Goncharov, “Limit equivalent constructivizations”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 2 (1982), 4–12
146.
S. S. Goncharov, V. D. Dzgoev, K. F. Samokhvalov and D. I. Sviridenko., Handbook of mathematical logic. Part I. Model theory, Translation edited and with a preface by Yu. L. Ershov, E. A. Palyutin and A. D. Taǐmanov. With a supplement by Palyutin., Nauka, Moscow, 1982 , 392 pp.
1981
147.
S. S. Goncharov, “Groups with a finite number of constructivizations”, Soviet Math. Dokl., 23:2 (1981) , 4 pp.
148.
S. S. Goncharov, “Groups with a finite number of constructivizations”, Dokl. Akad. Nauk SSSR, 256:2 (1981), 269–272
1980
149.
S. S. Goncharov, “Totally transcendental theory with a nonconstructivizable prime model”, Siberian Math. J., 21:1 (1980), 32–37
150.
S. S. Goncharov, “The problem of the number of nonautoequivalent constructivizations”, Soviet. Math. Dokl., 21 (1980) , 411-414 pp.
151.
S. S. Goncharov, B. N. Drobotun, “Numerations of saturated and homogeneous models”, Siberian Math. J., 21:2 (1980), 164–176
152.
S. S. Goncharov, “Autostability of models and Abelian groups”, Algebra and Logic, 19:1 (1980), 13–27
153.
S. S. Goncharov, V. D. Dzgoev, “Autostability of models”, Algebra and Logic, 19:1 (1980), 28–37
154.
S. S. Goncharov, “A totally transcendental decidable theory without constructivizable homogeneous models”, Algebra and Logic, 19:2 (1980), 85–93
155.
S. S. Goncharov, “Computable single-valued numerations”, Algebra and Logic, 19:5 (1980), 325–356
156.
S. S. Goncharov, “Problem of the number of non-self-equivalent constructivizations”, Algebra and Logic, 19:6 (1980), 401–414
157.
S. S. Goncharov, “The problem of the number of nonautoequivalent constructivizations”, Dokl. Akad. Nauk SSSR, 251:2 (1980), 271–274
1978
158.
S. S. Goncharov, “Constructive models of $\aleph_1$-categorical theories”, Math. Notes, 23:6 (1978), 486–487
159.
S. S. Goncharov, “Strong constructivizability of homogeneous models”, Algebra and Logic, 17:4 (1978), 247–263
1977
160.
S. S. Goncharov, “The quantity of nonautoequivalent constructivizations”, Algebra and Logic, 16:3 (1977), 169–185
1976
161.
S. S. Goncharov, “Non-self-equivalent constructivization of atomic Boolean algebras”, Math. Notes, 19:6 (1976), 500–503
162.
S. S. Goncharov, “Restricted theories of constructive Boolean algebras”, Siberian Math. J., 17:4 (1976), 601–611
1975
163.
S. S. Goncharov, “Autostability and computable families of constructivizations”, Algebra and Logic, 14:6 (1975), 392–409
164.
S. S. Goncharov, “Some properties of the constructivization of Boolean algebras”, Siberian Math. J., 16:2 (1975), 203–214
1974
165.
S. S. Goncharov, Konstruktivnye bulevy algebry, dissertatsiya kandidata fiziko-matematicheskikh nauk, Izdatelstvo Instituta matematiki SO AN SSSR, Novosibirsk, 1974 , 121 pp.
166.
S. S. Goncharov, “Constructivizability of superatomic Boolean algebras”, Algebra and Logic, 12:1 (1974) , 6 pp.
167.
S. S. Goncharov, A. T. Nurtazin, “Constructive models of complete solvable theories”, Algebra and Logic, 12:2 (1974) , 11 pp.
1973
168.
S. S. Goncharov, A. T. Nurtazin, Algebra Logika, 12:2 (1973), 125–142
169.
S. S. Goncharov, Algebra Logika, 12:1 (1973), 31–40
Открытие конференции S. S. Goncharov Междкнародная конференция, посвященная 90-летию со дня рождения Г. И. Марчука "Современные проблемы вычислительной математики и математического моделирования" June 8, 2015 15:00
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