New research shows large language models rival humans in learning logic-based rules, reshaping how we understand reasoning.

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...

This paper investigates the "general" semantics for first-order logic introduced to Antonelli (Review of Symbolic Logic 6(4), 637-58, 2013): a sound and complete axiom system is given, and the ...