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Titlebook: Computer Science – Theory and Applications; 17th International C Alexander S. Kulikov,Sofya Raskhodnikova Conference proceedings 2022 Sprin

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Chemical Reactions: Fundamentalsthe intersection of all sets is non-empty. We elaborate a discrete analogue of a covering by closed sets, base on it several discrete analogues of the KKM lemma and prove that the corresponding search problems are .-complete.
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The Chemistry Knowledge for Firefightersalphabet. On the other hand, it is proved that unary alphabets are insufficient to separate the series realised by polynomially and finitely ambiguous weighted automata over algebraically closed fields of positive characteristic.
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,Discrete Versions of the KKM Lemma and Their PPAD-Completeness,the intersection of all sets is non-empty. We elaborate a discrete analogue of a covering by closed sets, base on it several discrete analogues of the KKM lemma and prove that the corresponding search problems are .-complete.
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Abelian Repetition Threshold Revisited, results obtained by this method. On the base of these results, we suggest that the lower bounds for . by Samsonov and Shur are not tight for all . except .. We prove . for . and state a new conjecture on the Abelian repetition threshold.
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