Notes on the equiconsistency of ZFC without the Power Set axiom and 2nd order PA. arXiv: 2507.11643 [math.LO], July 2025, 29 pp. DOI: 10.48550/arXiv.2507.11643
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Notes on iterative summation of alternating factorials. Mathematics, 2025, Vol. 13, No. 12, Article 1942. DOI 10.3390/math13121942. (WoS Q1, БС1)
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On the significance of parameters and the projective level in the Choice and Collection axioms. Memoirs of the American Mathematical Society, 2025, under review. (WoS Q1, БС1)

On the uniform projection and covering problems in descriptive set theory under the axiom of constructibility. Mathematics, 2025, Vol. 13, No 3, Article 409. DOI 10.3390/math13030409 (WoS Q1, БС1)
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On the uniform projection problem in descriptive set theory. Axioms, 2025, Vol. 14, No. 1, Art. 13. DOI: 10.3390/axioms14010013 (WoS Q2, БС2)
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Independence of the Comprehension Schema in Second-Order Arithmetic from the Parameter-Free Countable Choice. Mathematical Notes, 2025, vol. 117, no. 2, pp. 275-286. DOI: 10.1134/S0001434625010250 (WoS Q3, Scimago SJR Q2, БС2)
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Parameterfree comprehension does not imply full comprehension in second order Peano arithmetic. Studia Logica, 2025, 113, pp. 109--124. DOI: 10.1007/s11225-024-10108-2 (WoS Q2, Scimago Q1, БС2)
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On the uniform projection and covering problems in descriptive set theory under the axiom of constructibility. Preprints, 2024, 2024101379. DOI 10.20944/preprints202410.1379.v1
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On the significance of parameters and the projective level in the Choice and Collection axioms. arXiv: 2407.20098 [math.LO], August 2024, 127 pp. DOI: 10.48550/arXiv.2407.20098
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Jensen ${\Delta }_n^1$ reals by means of ZFC and second-order Peano arithmetic. Axioms, Jan 30 2024, Vol. 13, No. 2, Art. 96. DOI: 10.3390/axioms13020096 (WoS Q1, БС2)
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A good lightface ${\Delta }_n^1$ well-ordering of the reals does not imply the existence of boldface ${𝚫}_{n-1}^1$ well-orderings. Annals of Pure and Applied Logic, Jun 2024, Vol. 175, Iss. 6, Art. 103426. DOI: 10.1016/j.apal.2024.103426 (WoS Q2, Scimago Q1, БС2)
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Wide-scale identification of novel/eliminated genes responsible for evolutionary transformations. Biology Direct, 2023, Vol. 18, Art. 45. DOI: 10.1186/s13062-023-00405-6 (WoS Q1, БС2)
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A model in which well-orderings of the reals first appear at a given projective level, part III, the case of second-order PA. Mathematics, 2023, 11(15), Article no. 3294. DOI: 10.3390/math11153294 (WoS Q1, БС1)
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A model in which well-orderings of the reals first appear at a given projective level, part II. Mathematics, 2023, 11(11), Article no. 2517. DOI: 10.3390/math11112517 (WoS Q1, БС1)
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On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic. Mathematics, 2023, 11 (3), Article no. 726. DOI: 10.3390/math11030726 (WoS Q1, БС1)
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On Russell typicality in Set Theory. Proceedings of the American Mathematical Society, 2023, 151, no 5, pp. 2201–2210. DOI: 10.1090/proc/16232 (WoS Q2, БС2)
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On the significance of parameters in the choice and collection schemata in the 2nd order Peano arithmetic. Preprints, Dec 26 2022, Art. 2022120255. DOI: 10.20944/preprints202212.0255.v2
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The parameterfree Comprehension does not imply the full Comprehension in the 2nd order Peano arithmetic. Eprint, arXiv:2209.07599 [math.LO], Sep 15 2022. DOI: 10.48550/arXiv.2209.07599
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A model in which the Separation principle holds for a given effective projective Sigma-class. Eprint, arXiv:2204.03915 [math.LO], Apr 8 2022. DOI: 10.48550/arXiv.2204.03915
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On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic. Preprints, 2022, no 2022120255. DOI: 10.20944/preprints202212.0255.v2
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