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On a conditional inequality in Kolmogorov complexity and its applications in communication complexity.

, and . CoRR, (2019)

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A Criterion for Extractability of Mutual Information for a Triple of Strings.. Probl. Inf. Transm., 39 (1): 148-157 (2003)Variations on Muchnik's Conditional Complexity Theorem., , and . Theory Comput. Syst., 49 (2): 227-245 (2011)Combinatorial Interpretation of Kolmogorov Complexity., , and . CCC, page 131-137. IEEE Computer Society, (2000)How to Use Undiscovered Information Inequalities: Direct Applications of the Copy Lemma., and . ISIT, page 1377-1381. IEEE, (2019)On OBDD-Based Algorithms and Proof Systems That Dynamically Change Order of Variables., , , and . STACS, volume 66 of LIPIcs, page 43:1-43:14. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2017)A Random Oracle Does Not Help Extract the Mutual Information., and . MFCS, volume 5162 of Lecture Notes in Computer Science, page 527-538. Springer, (2008)Resource-bounded Kolmogorov complexity provides an obstacle to soficness of multidimensional shifts., and . J. Comput. Syst. Sci., (2022)Pseudo-random Graphs and Bit Probe Schemes with One-Sided Error.. CSR, volume 6651 of Lecture Notes in Computer Science, page 50-63. Springer, (2011)Randomized Polynomial Time Protocol for Combinatorial Slepian-Wolf Problem., and . MFCS (2), volume 9235 of Lecture Notes in Computer Science, page 235-247. Springer, (2015)Clustering with respect to the information distance.. Theor. Comput. Sci., (2022)