A formalization of Kleene's second recursion theorem in the untyped lambda calculus yields a working Quine, with the proof carried out in the Rocq proof assistant. The approach highlights how the ...

The formulas say these two very different counts agree for every number. Before Ramanujan could prove them, he came across an ...

When I hear the word "recursion," I think of recursive processing (recursive).In the world of computers, recursive processing ...

What happens when an AI becomes capable of observing itself, modifying its internal structure, and retraining itself? Using Christopher Langan's CTMU as a guide, we explore the emergence of new ...

yes i think it's a very nice list of personal intuitions that i found helpful to read, recursive generalisation is a bit ... idk i feel it is not necessarily complete as a theory enough to declare ...

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Help your students develop a clearer understanding of horizontal, vertical and oblique asymptotes with this structured mathematics resource. Featuring concise theory notes, mathematical examples, ...

As AI systems tackle increasingly open-ended research problems, human experts may struggle to assess results and guide further progress. The model itself may be the best available optimizer and ...

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Right now, leading artificial intelligence models need human supervision to improve—but a popular theory known as “recursive self-improvement” imagines a future world where AI could become fully ...