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Kuznetsov Stepan Lvovich

Publications


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1. S. L. Kuznetsov, Uspekhi Mat. Nauk (to appear)  mathnet

   2026
2. Stepan L. Kuznetsov, “On syntactic concept lattice models for the Lambek calculus and infinitary action logic”, J. Logic Comput., 36:1 (2026), exaf078, 23 pp., arXiv: 2510.24853  crossref
3. Stepan L. Kuznetsov, “On Lambek grammars with Kleene star”, Distributed Computing and Artificial Intelligence, Special Sessions I, 22nd International Conference (Lille, France, June 25–27, 2025), Lecture Notes in Networks and Systems, 1631, Springer, Cham, 2026, 85–95  crossref

   2025
4. Stepan L. Kuznetsov, Tikhon Pshenitsyn, Stanislav O. Speranski, “Reasoning from hypotheses in *-continuous action lattices”, J. Symb. Log., 2025, 1–39 (Published online), arXiv: 2408.02118  mathnet  crossref  isi  scopus
5. A. L. Semenov, M. A. Babenko, A. Ya. Belov, N. K. Vereshchagin, M. E. Vishnikin, E. E. Zolin, V. N. Krupski, S. L. Kuznetsov, V. A. Lyubetskii, A. A. Onoprienko, M. R. Pentus, S. F. Soprunov, A. A. Sorokin, V. B. Shehtman, T. L. Yavorskaya, “Chair of Mathematical Logic and Theory of Algorithms”, Moscow University Mathematics Bulletin, 80:1 (2025), 23–33  mathnet  crossref  crossref  elib
6. Mikhail Valinkin, Stepan L. Kuznetsov, “Relational models for the Lambek calculus with local contraction subexponentials”, J. Logic Comput., 35:4 (2025), exaf030, 21 pp.  mathnet  crossref  mathscinet  isi  scopus

   2024
7. S. L. Kuznetsov, “Algorithmic complexity for theories of commutative Kleene algebras”, Izv. Math., 88:2 (2024), 236–269  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  scopus
8. Stepan L. Kuznetsov, “Syntactic concept lattice models for infinitary action logic”, Logic, Language, Information, and Computation, 30th International Workshop, WoLLIC 2024 (Bern, Switzerland, June 10–13, 2024), Lecture Notes in Comput. Sci., 14672, Springer, Cham, 2024, 93–107  mathnet  crossref  mathscinet  isi  scopus
9. S. L. Kuznetsov, Algoritmicheskie voprosy dlya substrukturnykh logik s iteratsiei Klini, Diss. … dokt. fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2024, 266 pp. (.pdf)
10. S. L. Kuznetsov, “Strong conservativity and completeness for fragments of infinitary action logic”, Sib. elektron. matem. izv., 21:2 (2024), 789–809  mathnet  crossref  crossref  mathscinet  scopus

   2023
11. Stepan L. Kuznetsov, “Commutative action logic”, J. Logic Comput., 33:6 (2023), 1427–1462, arXiv: 2102.11639  mathnet  crossref  mathscinet  zmath  isi  scopus 3
12. Stepan L. Kuznetsov, Stanislav O. Speranski, “Infinitary Action Logic with Multiplexing”, Studia Logica, 111:2 (2023), 251–280  mathnet  crossref  mathscinet  zmath  isi  scopus 4
13. Stepan L. Kuznetsov, “Complexity of the Lambek calculus and its extensions”, Logic and Algorithms in Computational Linguistics 2021, LACompLing2021, Stud. Comput. Intell., 1081, Springer, Cham, 2023, 1–29  mathnet  crossref  scopus
14. Stepan L. Kuznetsov, “Proof disbalancing for proving complexity results: towards infinitary focusing”, The Proof Society Summer School and Workshop 2023. Booklet of Abstracts (Barcelona, July 10–14, 2023), University of Barcelona, 2023, 69–72 (pdf)
15. Eben Blaisdell, Max Kanovich, Stepan L. Kuznetsov, Elaine Pimentel, Andre Scedrov, “Explorations in subexponential non-associative non-commutative linear logic”, Proceedings Modalities in substructural logics: Applications at the interfaces of logic, language and computation (AMSLO 2023), Ljubljana, Slovenia, August 7-8, 2023, Electron. Proc. Theor. Comput. Sci., 381, Open Publishing Association, 2023, 4–19, arXiv: 2308.05537v1  mathnet  crossref  mathscinet  zmath  isi  scopus
16. Stepan L. Kuznetsov, “On the complexity of reasoning in Kleene algebra with commutativity conditions”, Theoretical Aspects of Computing – ICTAC 2023, Lima, Peru, December 4–8, 2023, Lecture Notes in Comput. Sci., 14446, Springer, Cham, 2023, 83–99  mathnet  crossref  mathscinet  zmath  isi  scopus 4
17. Stepan L. Kuznetsov, “Relational models for the Lambek calculus with intersection and constants”, Log. Methods Comput. Sci., 19:4 (2023), 32, 27 pp., arXiv: 2210.00654  mathnet  crossref  mathscinet  zmath  isi  scopus

   2022
18. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “Language models for some extensions of the Lambek calculus”, Inform. and Comput., 287 (2022), 104760, 16 pp., arXiv: 2008.00070  mathnet  crossref  mathscinet  zmath  isi  scopus 3
19. Stepan L. Kuznetsov, Stanislav O. Speranski, “Infinitary action logic with exponentiation”, Ann. Pure Appl. Logic, 173:2 (2022), 103057, 33 pp., arXiv: 2001.06863  mathnet  crossref  mathscinet  zmath  isi  scopus 8
20. Max I. Kanovich, Stepan G. Kuznetsov, Stepan L. Kuznetsov, Andre Scedrov, “Decidable fragments of calculi used in CatLog”, Natural Language Processing in Artificial Intelligence — NLPinAI 2021, Stud. Comput. Intell., 999, Springer, Cham, 2022, 1–24  mathnet  crossref  scopus 1
21. Stepan L. Kuznetsov, “Reasoning in commutative Kleene algebras from *-free hypotheses”, Logica Yearbook 2021, College Publications, London, 2022, 99–113  mathscinet  isi
22. Eben Blaisdell, Max Kanovich, Stepan L. Kuznetsov, Elaine Pimentel, Andre Scedrov, “Non-associative, non-commutative multi-modal linear logic”, Automated Reasoning, 11th International Conference, IJCAR 2022 (Haifa, Israel, August 8–10, 2022), Lecture Notes in Comput. Sci., 13385, Springer, Cham, 2022, 449–467  mathnet  crossref  mathscinet  zmath  isi  scopus 2

   2021
23. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “The multiplicative-additive Lambek calculus with subexponential and bracket modalities”, J. Logic Lang. Inf., 30:1 (2021), 31–88  mathnet  crossref  mathscinet  zmath  isi  scopus 5
24. Stepan Kuznetsov, “Action logic is undecidable”, ACM Trans. Comput. Log., 22:2 (2021), 10, 26 pp., arXiv: 1912.11273  mathnet  crossref  mathscinet  isi  scopus 10
25. Stepan L. Kuznetsov, “Complexity of a fragment of infinitary action logic with exponential via non-well-founded proofs”, Automated Reasoning with Analytic Tableaux and Related Methods, 30th International Conference, TABLEAUX 2021, Birmingham, UK, September 6–9, 2021, Lecture Notes in Comput. Sci., 12842, Springer, Cham, 2021, 317–334  mathnet  crossref  mathscinet  zmath  isi  scopus 3
26. Stepan L. Kuznetsov, “Relational models for the Lambek calculus with intersection and unit”, Relational and Algebraic Methods in Computer Science. RAMiCS 2021, Marseille, November 2–5, 2021, Lecture Notes in Comput. Sci., 13027, Springer, Cham, 2021, 258–274  mathnet  crossref  mathscinet  zmath  isi  scopus 1
27. S. L. Kuznetsov, “Kleene star, subexponentials without contraction, and infinite computations”, Sib. elektron. matem. izv., 18:2 (2021), 905–922  mathnet  crossref  mathscinet  zmath  isi  scopus 1
28. S. M. Dudakov, B. N. Karlov, S. L. Kuznetsov, E. M. Fofanova, “Complexity of Lambek calculi with modalities and of total derivability in grammars”, Algebra and Logic, 60:5 (2021), 308–326  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
29. S. L. Kuznetsov, “Printsip dekompozitsii i algoritmicheskaya nerazreshimost dlya monoidov Klini s deleniyami”, Vserossiiskaya nauchnaya konferentsiya “Matematicheskie osnovy informatiki i informatsionno-kommunikatsionnykh sistem”. Sbornik trudov (Tver, 3–8 dekabrya 2021 g.), eds. S. M. Dudakov, B. N. Karlov, TvGU, Tver, 2021, 176–180  crossref
30. Stepan Kuznetsov, “Complexity of the infinitary Lambek calculus with Kleene star”, Rev. Symb. Log., 14:4 (2021), 946–972  mathnet  crossref  mathscinet  zmath  isi  scopus 5

   2020
31. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “Reconciling Lambek's restriction, cut-elimination, and substitution in the presence of exponential modalities”, J. Logic Comput., 30:1 (2020), 239–256  mathnet  crossref  mathscinet  zmath  isi  scopus 6
32. S. L. Kuznetsov, N. S. Ryzhkova, “A restricted fragment of the Lambek calculus with iteration and intersection operations”, Algebra and Logic, 59:2 (2020), 129–146  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
33. Max Kanovich, Stepan Kuznetsov, Vivek Nigam, Andre Scedrov, “Soft subexponentials and multiplexing”, Automated Reasoning, 10th International Conference, IJCAR 2020, Paris, France, July 1–4, 2020, Lecture Notes in Comput. Sci., 12166, Springer, 2020, 500–517  mathnet  crossref  mathscinet  zmath  isi  scopus 5
34. Stepan Kuznetsov, “The ‘long rule’ in the Lambek calculus with iteration: undecidability without meets and joins”, AiML 2020, Helsinki, Finland, August 24–28, 2020, Advances in Modal Logic, 13, College Publications, London, 2020, 425–440  mathnet  mathscinet  zmath  scopus
35. Stepan L. Kuznetsov, “A $\Pi^0_1$-bounded fragment of infinitary action logic with exponential”, Logic, Language, and Security: Scedrov Festschrift, Lecture Notes in Comput. Sci., 12300, Springer, Cham, 2020, 3–16  mathnet  crossref  mathscinet  zmath  scopus 1
36. Stepan Kuznetsov, “Complexity of commutative infinitary action logic”, Dynamic Logic. New Trends and Applications, Third International Workshop, DaLi 2020, Prague, Czech Republic, October 9–10, 2020, Lecture Notes in Comput. Sci., 12569, Springer, Cham, 2020, 155–169  mathnet  crossref  mathscinet  zmath  scopus 1
37. S. Kuznetsov, Kvant, 2020, no. 10, 32–33  mathnet

   2019
38. Max Kanovich, Stepan Kuznetsov, Vivek Nigam, Andre Scedrov, “Subexponentials in non-commutative linear logic”, Math. Structures Comput. Sci., 29:8, A special issue on structural proof theory, automated reasoning and computation in celebration of Dale Miller’s 60th birthday (2019), 1217–1249, arXiv: 1709.03607  mathnet  crossref  mathscinet  isi  scopus 25
39. Stepan Kuznetsov, Valentina Lugovaya, Anastasiia Ryzhova, “Craig’s trick and a non-sequential system for the Lambek calculus and its fragments”, Log. J. IGPL, 27:3 (2019), 252–266  mathnet  crossref  mathscinet  zmath  isi  scopus 2
40. Stepan Kuznetsov, “The logic of action lattices is undecidable”, Proc. 34th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2019 (Vancouver, B.C., June 24–27, 2019), IEEE, 2019, 1–9  crossref  mathscinet  isi  scopus 7
41. Stepan Kuznetsov, “Complexity of reasoning in residuated Kleene algebras”, 5th International Workshop on Structures and Deduction (Dortmund, June 29–30, 2019), 2019 (pdf)
42. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “The complexity of multiplicative-additive Lambek calculus: 25 years later”, WoLLIC 2019: Logic, Language, Information, and Computation, International Workshop on Logic, Language, Information, and Computation (Utrecht, July 2–5, 2019), Lecture Notes in Comput. Sci., 11541, Springer, Berlin, Heidelberg, 2019, 356–372  mathnet  crossref  mathscinet  zmath  isi  scopus 8
43. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “L-models and R-models for Lambek calculus enriched with additives and the multiplicative unit”, WoLLIC 2019: Logic, Language, Information, and Computation, International Workshop on Logic, Language, Information, and Computation (Utrecht, July 2–5, 2019), Lecture Notes in Comput. Sci., 11541, Springer, Berlin, Heidelberg, 2019, 373–391  mathnet  crossref  mathscinet  zmath  isi  scopus 4
44. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “Undecidability of a Newly Proposed Calculus for CatLog3”, Formal Grammar, 24th International Conference, FG 2019, Riga, Latvia, August 11, 2019, Lecture Notes in Comput. Sci., 11668, Springer, Berlin, Heidelberg, 2019, 67–83  mathnet  crossref  mathscinet  scopus 1
45. Stepan Kuznetsov, “Half a way towards circular proofs for Kleene lattices”, Circularity in Syntax and Semantics (Gothenburg, November 20–22, 2019), University of Gothenburg, Gothenburg, 2019, 42–45 (pdf)
46. S. L. Kuznetsov, Kvant, 2019, no. 3, 29–31  mathnet  crossref
47. S. Kuznetsov, Kvant, 2019, no. 12, 10–11  mathnet  crossref

   2018
48. Glyn Morrill, Stepan Kuznetsov, Max Kanovich, Andre Scedrov, “Bracket induction for the Lambek calculus with bracket modalities”, Formal Grammar 2018, 23rd International Conference, FG 2018 (Sofia, Bulgaria, August 11–12, 2018), Lecture Notes in Comput. Sci., 10950, Springer-Verlag, Berlin, Heidelberg, 2018, 84–101  mathnet  crossref  mathscinet  scopus 5
49. Max Kanovich, Stepan Kuznetsov, Vivek Nigam, Andre Scedrov, “A logical framework with commutative and non-commutative subexponentials”, Automated Reasoning, IJCAR 2018 (Oxford, UK, July 14-17, 2018), Lecture Notes in Comput. Sci., 10900, eds. D. Galmiche, S. Schulz, R. Sebastiani, Springer, Cham, 2018, 228–245  mathnet  crossref  mathscinet  zmath  isi  scopus 10
50. S. L. Kuznetsov, “O polnote fragmenta ischisleniya Lambeka s operatsiyami iteratsii i peresecheniya otnositelno relyatsionnykh modelei”, Maltsevskie chteniya 2018 (Novosibirsk, 19–22 noyabrya 2018 g.), Institut matematiki im. S. L. Soboleva SO RAN; Novosibirskii gos. universitet, Novosibirsk, 2018, 224 (pdf)
51. Stepan Kuznetsov, “$*$-continuity vs. induction: divide and conquer”, 12th Conference on ""Advances in Modal Logic"", AiML 2018, Advances in Modal Logic, 12, University of Bern, Bern, Switzerland, 2018, 493–510  mathnet  mathscinet  zmath  scopus
52. S. L. Kuznetsov, Kvant, 2018, no. 11, 9  mathnet
53. S. L. Kuznetsov, Kvant, 2018, no. 5, 24  mathnet
54. S. L. Kuznetsov, Kvant, 2018, no. 3, 32–33  mathnet

   2017
55. S. Kuznetsov, A. Okhotin, “Conjunctive categorial grammars”, Proceedings of the 15th Meeting on the Mathematics of Language (London, July 13–14, 2017), ACL Anthology, 2017, 140–151 (W17-3414) http://aclweb.org/anthology/W17-3414  crossref  mathscinet  scopus 6
56. S. Kuznetsov, G. Morrill, O. Valentín, “Count-invariance including exponentials”, Proceedings of the 15th Meeting on the Mathematics of Language (London, July 13–14, 2017), ACL Anthology, 2017, 128–139 (W17-3413) http://www.aclweb.org/anthology/W17-3413  crossref  mathscinet  scopus 4
57. Stepan Kuznetsov, “The Lambek calculus with iteration: two variants”, WoLLIC 2017 (London, July 18–21, 2017), Lecture Notes in Comput. Sci., 10388, 2017, 182–198  mathnet  crossref  mathscinet  isi  scopus 6
58. Max Kanovich, Stepan Kuznetsov, Glyn Morrill, Andre Scedrov, “A polynomial-time algorithm for the Lambek calculus with brackets of bounded order”, 2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017) (Oxford, September 3–9, 2017), Leibniz Internat. Proc. in Inform., 84, eds. D. Miller, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, Dagstuhl, 2017, 22:1–22:17  mathnet  crossref  mathscinet  mathscinet  scopus
59. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “Undecidability of the Lambek calculus with subexponential and bracket modalities”, Fundamentals of Computation Theory, FCT 2017 (Bordeaux, September 11–13, 2017), Lecture Notes in Comput. Sci., 10472, eds. R. Klasing, M. Zeitoun, Springer, 2017, 326–340  mathnet  crossref  mathscinet  isi  scopus 9
60. S. Kuznetsov, Eliminating the unit constant in the Lambek calculus with brackets, 2017, 7 pp., arXiv: 1711.06361
61. S. Kuznetsov, “Ptichka vyletaet!”, Kvantik, 2017, no. 2, 10–11
62. S. L. Kuznetsov, Kvant, 2017, no. 10, 2–5  mathnet
63. S. L. Kuznetsov, Kvant, 2017, no. 9, 10–14  mathnet
64. S. L. Kuznetsov, Kvant, 2017, no. 6, 21–24  mathnet
65. S. L. Kuznetsov, Kvant, 2017, no. 4, 36–38  mathnet
66. S. L. Kuznetsov, Kvant, 2017, no. 1, 30–31  mathnet

   2016
67. M. Kanovich, S. Kuznetsov, A. Scedrov, “On Lambek's restriction in the presence of exponential modalities”, Lecture Notes in Comput. Sci., 9537, 2016, 146–158  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 3
68. Max Kanovich, Stepan Kuznetsov, Andre Scedrov, “Undecidability of the Lambek calculus with a relevant modality”, Lecture Notes in Comput. Sci., 9804, eds. A. Foret, G. Morrill, R. Muskens, R. Osswald, S. Pogodalla, 2016, 240–256, arXiv: 1601.06303  mathnet  crossref  mathscinet  zmath  elib  scopus 13
69. S. L. Kuznetsov, “On translating Lambek grammars with one division into context-free grammars”, Proc. Steklov Inst. Math., 294 (2016), 129–138  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
70. M. Kanovich, S. Kuznetsov, V. Nigam, A. Scedrov, “On the proof theory of non-commutative subexponentials”, Dale Fest!, Seminar in honor of the 60th birthday of Dale Miller (Paris, December 15–16, 2017), Université Paris Diderot, 2016, 10 p. (pdf)

   2015
71. S. L. Kuznetsov, “On Translating Context-Free Grammars into Lambek Grammars”, Proc. Steklov Inst. Math., 290 (2015), 63–69  mathnet  crossref  crossref  isi  elib  elib  scopus
72. S. L. Kuznetsov, N. S. Ryzhkova, “Fragment ischisleniya Lambeka s iteratsiei”, Maltsevskie chteniya 2015 (Novosibirsk, 3–7 maya 2015 g.), Institut matematiki im. S.L. Soboleva SO RAN; Novosibirskii gos. universitet, Novosibirsk, 2015, 213 [tezisy .pdf]

   2014
73. S. Kuznetsov, “$L$-completeness of the Lambek calculus with the reversal operation allowing empty antecedents”, Categories and types in logic, language, and physics. Essays dedicated to Jim Lambek on the occasion of his 90th birthday, Lecture Notes in Comput. Sci., 8222, eds. C. Casadio, B. Coecke, M. Moortgat, P. Scott, Springer, Berlin, Heidelberg, 2014, 268–278  mathnet  crossref  mathscinet  zmath  scopus 1
74. S. L. Kuznetsov, “Trivalent logics arising from L-models for the Lambek calculus with constants”, J. Appl. Non-Class. Log., 14:1-2 (2014), 132–137  mathnet  crossref  mathscinet  scopus 5
75. S. Kuznetsov, “On translating context-free grammars into Lambek categorial grammars”, Joint Proceedings of the Second Workshop on Natural Language and Computer Science (NLCS’14) & 1st International Workshop on Natural Language Services for Reasoners (NLSR 2014), Affliated to RTA-TLCA, VSL 2014 (Vienna, July 17–18, 2014), eds. V. de Paiva, W. Neuper, P. Quaresma, C. Retoré, L. S. Moss, J. Saludes, Center for Informatics and Systems of the University of Coimbra, Coimbra, Portugal, 2014, 137–142

   2013
76. S. Kuznetsov, “Conjunctive grammars in Greibach normal form and the Lambek calculus with additive connectives”, Formal grammar. 17th and 18th international conferences, FG 2012, Opole, Poland, August 2012, revised selected papers, FG 2013, Düsseldorf, Germany, August 2013, Proceedings, Lecture Notes in Comput. Sci., 8036, Springer, Berlin, 2013, 242–249  mathnet  crossref  mathscinet  zmath  elib  scopus 6

   2012
77. S. Kuznetsov, “L-completeness of the Lambek calculus with the reversal operation”, Logical aspects of computational linguistics, Lecture Notes in Comput. Sci., 7351, Springer, Heidelberg, 2012, 151–160  mathnet  crossref  mathscinet  zmath  scopus 2
78. S. Kuznetsov, “Lambek grammars with the unit”, Formal grammar. 15th and 16th international conferences, FG 2010, Copenhagen, Denmark, August 2010, FG 2011, Ljubljana, Slovenia, August 2011. Revised selected papers, Lecture Notes in Comput. Sci., 7395, Springer, Berlin, 2012, 262–266  mathnet  crossref  zmath  scopus 4
79. S. Kuznetsov, “Lambek grammars with one division and one primitive type”, Log. J. IGPL, 20:1 (2012), 207–221  mathnet  crossref  mathscinet  zmath  isi  scopus 11
80. S. L. Kuznetsov, Kategorialnye grammatiki, osnovannye na variantakh ischisleniya Lambeka, Diss. … kand. fiz.-matem. nauk, MGU imeni M. V. Lomonosova, M., 2012, 70 pp. polnyi tekst (PDF), avtoreferat (PDF), English translation (PDF), English summary (PDF)

   2011
81. S. L. Kuznetsov, “On the Lambek calculus with a unit and one division”, Moscow University Math. Bull., 66:4 (2011), 173–175  mathnet  crossref  mathscinet  zmath  adsnasa  elib  elib  scopus

   2009
82. S. L. Kuznetsov, “On the Lambek calculus with one division and one primitive type that allows empty antecedents”, Moscow University Math. Bull., 64:2 (2009), 76–79  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
83. S. Kuznetsov, “On the Lambek calculus with one division and one primitive type”, Structures and Deduction 2009, ESSLLI '09 Workshop (Bordeaux, July 20–24, 2009), eds. Michel Parigot and Lutz Straßburger, 2009, 2–11 [proceedings, .pdf]


© Steklov Math. Inst. of RAS, 2026