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ЖУРНАЛЫ // Сибирские электронные математические известия

Сиб. электрон. матем. изв., 2022, том 19, выпуск 2, страницы 1094–1102 (Mi semr1561)

Исследование систем уравнений над различными классами конечных матроидов
А. В. Ильев

Список литературы

1. Y.V. Matiyasevich, “Enumerable sets are diophantine”, Sov. Math., Dokl., 11 (1970), 354–358  mathscinet  zmath
2. E.W. Mayr, A.R. Meyer, “The complexity of the word problems for commutative semigroups and polynomial ideals”, Adv. Math., 46:3 (1982), 305–329  crossref  mathscinet  zmath
3. S.A. Cook, “The complexity of theorem-proving procedures”, Proc. 3rd ann. ACM Sympos. Theory Computing (Shaker Heights, Ohio, 1971), ACM, 1971, 151–158  crossref  zmath
4. E.Y. Daniyarova, A.G. Myasnikov, V.N. Remeslennikov, “Algebraic geometry over algebraic structures”, Algebra Logic, 57:6 (2019), 414–428  mathnet  crossref  mathscinet  zmath
5. A.Y. Nikitin, A.N. Rybalov, “On complexity of the satisfiability problem of systems over finite posets”, Prikl. Diskretn. Mat., 39 (2018), 94–98  crossref  mathscinet  zmath
6. A.N. Rybalov, “On complexity of the existential and universal theories of finite fields”, Prikl. Diskretn. Mat., 45 (2019), 85–89  mathnet  crossref  mathscinet  zmath
7. A.V. Ilev, “Decidability of universal theories and axiomatizability of hereditary classes of graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 100–111  mathnet  mathscinet
8. A.V. Ilev, V.N. Remeslennikov, “Study of the compatibility of systems of equations over graphs and finding their general solutions”, Vestnik Omskogo Universiteta, 4(86) (2017), 26–32
9. A.V. Il'ev, V.P. Il'ev, “Algorithms for solving systems of equations over various classes of finite graphs”, Prikl. Diskretn. Mat., 53 (2021), 89–102  crossref  mathscinet  zmath
10. A.V. Iliev, “On axiomatizability of hereditary classes of graphs and matroids”, Sib. Èlectron. Mat. Izv., 13 (2016), 137–147  mathnet  mathscinet  zmath
11. A.V. Il'ev, V.P. Il'ev, “On axiomatizability and decidability of universal theories of hereditary classes of matroids”, J. Physics: Conf. Ser., 2019, 012056  crossref
12. A.V. Il'ev, V.P. Il'ev, “On axiomatizability of the class of finitary matroids and decidability of their universal theory”, Sib. Èlectron. Mat. Izv., 17 (2020), 1730–1740  mathnet  crossref  mathscinet  zmath
13. H. Whitney, “On the abstract properties of linear dependence”, Am. J. Math., 57 (1935), 509–533  crossref  mathscinet  zmath
14. M.R. Garey, D.S. Johnson, Computers and intractability. A guide to the theory of NP-completeness, W.H. Freeman and Co, San Francisco, 1979  mathscinet  zmath


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