This paper concerns modal logics of provability -- Gödel-Löb system GL and Solovay logic S -- the smallest and the greatest representation of arithmetical theories in propositional logic respectively.

Having read the paper, I am not sure how applicable these results are. The model they used was a version of a tiny, 6-year old LLM, GPT 2, which has ONLY 774 million parameters. It appears that CoT ...

We all have the habit of trying to guess the killer in a movie before the big reveal. That’s us making inferences. It’s what happens when your brain connects the dots without being told everything ...

The thesis that, in a system of natural deduction, the meaning of a logical constant is given by some or all of its introduction and elimination rules has been developed recently in the work of ...

Royal Society, January 20.—The following papers were read:— “On the mechanical performance of logical inference,” by W. Stanley jevonS, M.A. Lond., Professor ...