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 ...

Algebraic logic constitutes a vibrant interdisciplinary field that investigates the close interplay between algebraic structures and logical systems. By utilising tools from universal algebra, ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...

Whether it’s automating tedious coding tasks, solving complex logic puzzles, or even weighing in on ethical dilemmas, AI tools like OpenAI’s o3-Mini promise to make our lives easier. But let’s be ...