\begin{abstract} We present a locality--audit framework for proving circuit lower bounds for NP languages. We define an explicit NP--complete language equipped with structural invariances (``audits'') ...

Dive into one of the most wicked geometry problems and see it explained step by step in a clear, intuitive way. This lesson breaks down the hidden structure, key insights, and clever reasoning that ...

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Complexity theory remains one of the great unsolved mathematical puzzles. Kenneth Regan is trying to figure it out. Kenneth Regan paused at lunch in New York to glance at incoming texts from top ...