Theory of Computation offers a rigorous mathematical framework that underpins our understanding of what can be computed and how efficiently these computations may be performed. It encompasses ...

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What is Kolmogorov Complexity, and why does it matter in computer science and information theory? In this video, we break down the concept in simple terms and walk through real-world examples to make ...

Graph theory has long provided a robust mathematical framework for investigating networks, relations and connectivity in both abstract and applied settings. Recent advances have markedly refined our ...

The problem -- Computation -- Structure for free -- Purposeful structure -- Improbability and the engine of complexity -- Algorithmic evolution -- Evolution within the body -- Taking control of the ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 118, No. 21 (May 25, 2021), pp. 1-7 (7 pages) Spin glasses (SGs) are paradigmatic models for physical, computer ...

Their award-winning paper, “Explicit Two-Source Extractors and Resilient Functions”, tackles the long-standing challenge of generating reliable randomness from weak or flawed sources—a foundation for ...