“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Neural network optimisation for logic satisfiability addresses the fundamental challenge of determining whether a given Boolean formula can be assigned truth values that make the formula true.

The Boolean satisfiability problem (SAT) asks whether a given logical formula can be made true by assigning values to its variables. As the canonical NP-complete decision problem, SAT underpins a vast ...

Abstract: Most parameterized complexity classes are defined in terms of a parameterized version of the Boolean satisfiability problem (the so-called weighted satisfiability problem. For example, ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...

Modern AI excels at pattern recognition but suffers when faced with logical reasoning tasks. What happens when we ask a neural network to solve a Sudoku puzzle from an image, verify a mathematical ...

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In January 2020, just eight months into her tenure as CEO of Best Buy, Corie Barry learned about a novel coronavirus spreading in China. By early March, Barry was getting reports that the virus was ...

Problem-solving therapy (PST) helps individuals manage stress by breaking down challenges into practical, manageable steps. The aim of the therapy is to help people cope more confidently with ...

The ChatGPT maker reveals details of what’s officially known as OpenAI o1, which shows that AI needs more than scale to advance. The new model, dubbed OpenAI o1, can solve problems that stump existing ...