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 On the 100th anniversary of the birth of Vladimir Yakovlevich Kozlov 3 Functional limit theorems for high-level subcritical branching processes in random environmentV. I. Afanasyev 6 Properties of Boolean functions without three-argument implicentsV. N. Goloshchapov, P. V. Roldugin 25 Calculating the number of solutions of a difference equationS. D. Loshkarev 42 Lower bounds of temporal and spatial complexity of the substring search problemE. M. Perper 58 On cardinality of bigram languagesA. A. Petyushko 71 Fault detection and diagnostic tests for logic gatesK. A. Popkov 83 Method of synthesis of easily testable circuits admitting single fault detection tests of constant lengthD. S. Romanov 100 Positive integer solutions of systems of linear equations and polynomials of small weight divisible by $(1-x)^r$A. S. Rybakov 131 Asymptotic normality of numbers of non-occurring values of $m$-dependent random variablesM. I. Tikhomirova, V. P. Chistyakov 143