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 ...

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, ...

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 ...

Lotfi Zadeh, the computer scientist and electrical engineer whose theories of “fuzzy logic” rippled across academia and industry, influencing everything from linguistics, economics and medicine to air ...

Memristors, a type of circuit element based on magnetic flux, were first proposed back in 1971, but remained limited to the realm of theory until 2008. That’s when some researchers from HP Labs ...

This is a preview. Log in through your library . Abstract In their seminal paper Birkhoff and von Neumann revealed the following dilemma: [...] whereas for logicians the orthocomplementation ...

This is a preview. Log in through your library . Abstract In this essay, we propose that Peirce's Existential Graphs can derive the desired uniqueness implication (or in a weaker claim, the definite ...

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 ...