Hallucination is fundamental to how transformer-based language models work. In fact, it's their greatest asset.

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Mathematical logic provides a rigorous framework to analyse proofs and extract computational content, while nonexpansive mappings, which are mappings that do not increase distances between points, ...

The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued quarterly. Volume 71, being published during 2006, will consist of ...

Marcos Mazari-Armida, a postdoctoral researcher at CU Boulder, wins 2021 Sacks Prize from the Association of Symbolic Logic A University of Colorado Boulder mathematician has won the Sacks Prize, ...

The term "reasoning" is a familiar metaphor in today's artificial intelligence (AI) technology, often used to describe the verbose outputs generated by so-called reasoning AI models such as OpenAI's ...

Using a contextual method the specific development of logic between c. 1830 and 1930 is explained. A characteristic mark of this period is the decomposition of the complex traditional philosophical ...

Google announces upgrade to Bard chatbot, enhancing math and logic capabilities with PaLM integration. Google has upgraded Bard's math and logic capabilities by incorporating advancements from PaLM.

THE HISTORY Of computers is often told as a history of objects, from the abacus to the Babbage engine up through the code-breaking machines of World War II. In fact, it is better understood as a ...

Mathematics is often seen as an isolated subject, with distinct fields and theories that seem to have little in common. However, if you look closely, all areas of math are deeply interconnected. In ...