“It seems that I’ll have to revise my opinions about ‘generative AI’ one of these days,” said Donald Knuth, widely regarded as the father of algorithm analysis. Donald Knuth praises Claude Opus 4.6 ...

The goal of the course is to improve programming and problem-solving skills of the students by facing them with difficult problems and by presenting the techniques that help their reasoning in the ...

If you’ve ever shuffled a deck of playing cards, you’ve most likely created a unique deck. That is, you’re probably the only person who has ever arranged the cards in precisely that order. Although ...

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Earlier this year, George and Roxanne Miller relocated the world’s largest collection of mechanical puzzles from their home in Florida. But first they took a road trip. George and Roxanne Miller ...

Abstract: DNA sequences are the most crucial in a cell as they code for the generation of proteins that affect the metabolism of an organism. Some viral pathogens can affect the host cells by ...

1 On our inability to do much. 4 On the reliability of mechanisms. 8 On our mental aids. 15 An example of a correctness proof. 19 On the validity of proofs versus the validity of implementations. 21 ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2009. Contributed by Christos Papadimitriou, September 12, 2014 (sent ...