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[1] M. M. Arslanov, “On effectively hypersimple sets”, Algebra and Logic, 8 (1969), 79–85 | DOI | MR | Zbl
[2] M. M. Arslanov, R. F. Nadyrov, and V. D. Solov'ev, “Criterion for the completeness of recursively enumerable sets and several generalizations of the fixed-point theorem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 4, 3–7 (Russian) | MR | Zbl
[3] M. M. Arslanov, “Some generalizations of a fixed-point theorem”, Soviet Math. (Iz. VUZ), 25:5 (1981), 1–10 | MR | Zbl
[4] M. M. Arslanov, “Lattice properties of degrees below $O'$”, Soviet Math. Dokl., 32 (1985), 58–62 | MR | Zbl
[5] M. M. Arslanov, “The recursion theorem, approximations, and classifying index sets of recursively enumerable sets”, Fundamentals of computation theory (Kazan' 1987), Lecture Notes in Comput. Sci., 278, Springer-Verlag, Berlin, 1987, 34–37 | DOI | MR | Zbl
[6] M. M. Arslanov, “The lattice of the degrees below $0'$”, Soviet Math. (Iz. VUZ), 32:7 (1988), 43–53 | MR | Zbl
[7] M. M. Arslanov, “Completeness in the arithmetical hierarchy and fixed points”, Algebra and Logic, 28:1 (1989), 1–9 | DOI | MR | Zbl
[8] M. M. Arslanov, “On the structure of degrees below $0'$”, Recursion theory week (Oberwolfach 1989), Lecture Notes in Math., 1432, Springer-Verlag, Berlin, 1990, 23–32 | DOI | MR | Zbl
[9] M. M. Arslanov, S. Lempp, and R. A. Shore, “Interpolating d-r.e. and REA degrees between r.e. degrees”, Ann. Pure Appl. Logic, 78:1-3 (1996), 29–56 | DOI | MR | Zbl
[10] M. M. Arslanov, S. Lempp, and R. A. Shore, “On isolating r.e. and isolated d-r.e. degrees”, Computability, enumerability, unsolvability, London Math. Soc. Lecture Note Ser., 224, Cambridge Univ. Press, Cambridge, 1996, 61–80 | DOI | MR | Zbl
[11] M. Arslanov, “Degree structures in the local degree theory”, Complexity, logic, and recursion theory, Lecture Notes in Pure and Appl. Math., 187, Marcel Dekker, Inc., New York, 1997, 49–74 | MR | Zbl
[12] M. M. Arslanov, G. L. LaForte, and T. A. Slaman, “Relative enumerability in the difference hierarchy”, J. Symb. Log., 63:2 (1998), 411–420 | DOI | MR | Zbl
[13] M. Arslanov, “Open questions about the $n$-c.e. degrees”, Computability theory and its applications (Boulder, CO 1999), Contemp. Math., 257, Amer. Math. Soc., Providence, RI, 2000, 15–22 | DOI | MR | Zbl
[14] M. M. Arslanov, “Table complete sets of Kolmogorov complexity of conputations”, Collection of selected papers by members of the Academy of Science of the Republic of Tatarstan, Foliant, Kazan, 2002, 199–209 (Russian)
[15] M. M. Arslanov, “Truth-table complete computably enumerable sets”, Computability and models, Univ. Ser. Math., Kluwer Acad./Plenum Publ., New York, 2003, 1–10 | DOI | MR | Zbl
[16] M. M. Arslanov, “Generalized tabular reducibilities in infinite levels of Ershov difference hierarchy”, Logical approaches to computational barriers (CiE' 2006), Report Series, Swansea, 2006, 15–23
[17] M. M. Arslanov, I. Sh. Kalimullin, and S. Lempp, “On Downey's conjecture”, J. Symb. Log., 75:2 (2010), 401–441 | DOI | MR | Zbl
[18] M. M. Arslanov, “The Ershov hierarchy”, Computability in context. Computation and logic in the real world, Imperial College Press, London, 2011, 49–100 | DOI | MR | Zbl
[19] M. M. Arslanov, “Structural theory of degrees of unsolvability: advances and open problems”, Algebra and Logic, 54:4 (2015), 342–346 | DOI | MR | Zbl
[20] M. Arslanov, “Splitting and non-splitting in the difference hierarchy”, Math. Structures Comput. Sci., 28:3 (2018), 384–391 | DOI | MR
[21] M. M. Arslanov and M. M. Yamaleev, “On the problem of definability of the computably enumerable degrees in the difference hierarchy”, Lobachevskii J. Math., 39:5 (2018), 634–638 | DOI | MR | Zbl
[22] M. M. Arslanov, “Fixed-point selection functions”, Lobachevskii J. Math., 42:4 (2021), 685–692 | DOI | MR | Zbl
[23] M. M. Arslanov, “On a general method of constructing post reducibilities and the corresponding completeness criteria”, Lobachevskii J. Math., 43:12 (2022), 3430–3434 | DOI | MR | Zbl
[24] M. M. Arslanov, “Completeness criterions for a class of reducibilities”, Russian Math. (Iz. VUZ), 66:10 (2022), 62–66 | DOI | MR | Zbl