Bridging Computational Notions of Depth: Working Towards the Proof of Lemma 3 | HackerNoon
Briefly

The slow growth law serves as a foundational principle in algorithmic randomness studies, asserting that certain depth classes exhibit gradual, negligible growth in complexity across instances.
Members of the Deep Π0 1 classes demonstrate significant resilience to depth measures, suggesting their ability to maintain complexity despite strong reductions or transformations applied.
The concept of strong depth is diminished under certain conditions, illuminating how alterations in structure can lead to a reconsideration of the depth's relevance in computational theory.
Variants of strong depth indicate potential avenues for future research, aiming to explore deeper relationships between effective randomness and computational depth, potentially reshaping current understanding.
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