Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

Abstract: The aim of this paper is to elaborate interconnection of logic, mathematics, AI. The fundamental influence of mathematical logic, which provides a framework for reasoning, analysis, and well ...

Chronic urticaria, which is an intractable skin disease, has no disease animal models so that the pathogenesis of the itself is unknown, and the clinical data to assess its severity are very limited.

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 ...

Seemingly simple games can serve as thought-provoking exercises in mathematical logic. They can provide deep insights into subtle issues that confront logicians who are interested in the foundations ...