In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

News that large language models (LLM) have made major advances in solving Erdős problems – a set of problems formulated by the renowned 20th-century mathematician Paul Erdős – has created an ...

The Random123 library is a collection of counter-based random number generators ( "CBRNGs") for CPUs (C and C++) and GPUs (CUDA and OpenCL), as described in Parallel Random Numbers: As Easy as 1, 2, 3 ...

A powerful Model Context Protocol (MCP) server that provides comprehensive Zig language assistance, including modern build system support, code optimization, and best practices guidance.

The development of digital cancer twins relies on the capture of high-resolution representations of individual cancer patients throughout the course of their treatment. Our research aims to improve ...

A critical challenge in neuromorphic computing is to present computationally efficient algorithms of learning. When implementing gradient-based learning, error ...

“How can one check a routine in the sense of making sure that it is right?” asked Alan Turing in 1949, foreshadowing the science of program proving decades before it became a formally accepted field ...

We describe a Coq formalization of a subset of the x86 architecture. One emphasis of the model is brevity: using dependent types, type classes and notation we give the x86 semantics a makeover that ...