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 On the automata functional systemsV. B. Kudryavtsev 3 The threshold effect for systems of random equations of a special typeV. F. Kolchin, V. I. Khokhlov 29 On a model of plane switching circuitsO. A. Zadorozhnyuk, A. N. Rybko 40 On checking tests for a parity counterV. G. Khakhulin 51 On equations with subgroup constraints on solutions in free groupsV. G. Durnev 60 Algorithms for computing determinants in commutative ringsG. I. Malashonok 68 New inequality relations between depth and delayV. M. Khrapchenko 77 The number of components in a random bipartite graphA. I. Saltykov 86 Ravines of functions and nonuniformity of their supergraphsE. G. Belousov, E. G. Andronov 95 Associators, commutators and the linearity of a quasigroupG. B. Belyavskaya 116 Chromatic uniqueness of graphs that are homeomorphic to $K_4$V. L. Mironov 126 Orthogonal starters and multidimensional Kirkman hypercubesA. V. Nazarok 136 Spectra of nonoriented de Bruijn graphs and an upper bound on the independence number for such graphsS. Yu. Mel'nikov 140 Similarity of involutive matrices over a local ring of characteristic $2^k$T. G. Gazaryan 145