We are recipient of multiple @EPSRC grants that will drive forward our groundbreaking work in distributed systems, quantum computing, edge computing, and more. Learn more: brnw.ch/21wHd3i

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Large Language Model for Science: A Study on P vs. NP paper page: huggingface.co/papers/2309.0… use large language models (LLMs) to augment and accelerate research on the P versus NP problem, one of the most important open problems in theoretical computer science and mathematics. Specifically, we propose Socratic reasoning, a general framework that promotes in-depth thinking with LLMs for complex problem-solving. Socratic reasoning encourages LLMs to recursively discover, solve, and integrate problems while facilitating self-evaluation and refinement. Our pilot study on the P vs. NP problem shows that GPT-4 successfully produces a proof schema and engages in rigorous reasoning throughout 97 dialogue turns, concluding "P neq NP", which is in alignment with (Xu and Zhou, 2023). The investigation uncovers novel insights within the extensive solution space of LLMs, shedding light on LLM for Science.

This is a thread about a recent cursèd result in graph theory that I enjoy. It's about graph coloring. For background, a coloring of a graph is an assignment of colors to the nodes, so that every edge is multicolored.

Sunak literally said that the money will come from charging migrants coming to the UK. This is not a win in any way.