A team of Apple researchers has released a paper scrutinising the mathematical reasoning capabilities of large language models (LLMs), suggesting that while these models can exhibit abstract reasoning ...

For a while now, companies like OpenAI and Google have been touting advanced "reasoning" capabilities as the next big step in their latest artificial intelligence models. Now, though, a new study from ...

At the heart of this breakthrough lies AlphaProof, a sophisticated formal reasoning AI model developed by the brilliant minds at Google DeepMind. This innovative system has demonstrated an ...

Logic studies how arguments work, and how ideas can fit together. Decision theory studies how decisions should be made, especially under uncertainty. Game theory considers how we reason strategically, ...

Apple's AI research team has uncovered significant weaknesses in the reasoning abilities of large language models, according to a newly published study. The study, published on arXiv, outlines Apple's ...

A new “semi-formal reasoning” approach forces AI models to trace code paths and justify conclusions, improving accuracy while reducing reliance on costly execution environments. Meta researchers have ...

Formal methods offer a mathematically rigorous framework for the specification, development and verification of programming languages and software systems. By leveraging techniques such as theorem ...

Formal reasoning establishes a rigorous foundation for ensuring the reliability and security of software systems. However, formal reasoning poses inherent high computational challenges. It typically ...

Higher education students are rapidly adopting AI for complex problem-solving, but limitations in context and accuracy demand careful verification. New reasoning modes like GPT‑5.4 Thinking are ...