For decades, solving the world’s hardest mathematical problems has been considered a uniquely human pursuit, requiring ...

Anthropic mathematician says AI helped crack an 87-year-old mathematical mystery, though experts say the claim must first withstand independent review.

Historically, mathematical proofs have been written and evaluated by humans, but in principle they could be formalized and verified by a computer program, essentially eliminating doubts about ...

Abstract: Learning-based methods have gained popularity for training candidate Control Barrier Functions (CBFs) to satisfy the CBF conditions on a finite set of sampled states. However, since the CBF ...

Abstract: Hardware verification is crucial to ensure the cor-rectness in the logic design of digital circuits. The purpose of verification is to either find bugs or show their absence. Prior works ...

Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to ...

Some of the material on this web page is based upon work supported by the National Science Foundation under Grants SES-0350686, SES-0719055, and . Any opinions, findings and conclusions or ...

Over the past several years, Pew Research Center has changed the way it conducts surveys in the United States. The Center’s polls were once conducted entirely using an interviewer-administered mode: ...

This paper reviews existing computer-supported learning systems that have claimed to adopt Socratic methods for enhancing critical thinking. Several notions of Socratic methods are differentiated: the ...

We introduce a class of exactly solvable models with surprising properties. We show that even simple quantum matter is much more entangled than previously believed possible. One then expects more ...