The interplay between algebraic structures and fuzzy logic has fostered significant advancements in both theoretical research and practical applications. Algebraic structures provide a rigorous ...

We prove a main gap theorem for locally saturated submodels of a homogeneous structure. We also study the number of locally saturated models, which are not elementarily embeddable into each other.

Recent advances in mathematics and theoretical computer science have enabled the synthesis of convex structures with fuzzy set theory, giving rise to novel approaches in fuzzy topology. This ...

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 ...

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 ...

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 ...