This paper discusses six formalization techniques, of varying strengths, for extending a formal system based on traditional mathematical logic. The purpose of these formalization techniques is to ...

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 ...

Computational logic and formal languages form a cornerstone of modern computer science and mathematics, providing the theoretical framework by which algorithms, automated reasoning systems and even ...

Dependence logic and semantics represent a burgeoning area of logical inquiry that extends classical frameworks to capture complex interdependencies among variables. This field introduces novel ...

The term "reasoning" is a familiar metaphor in today's artificial intelligence (AI) technology, often used to describe the verbose outputs generated by so-called reasoning AI models such as OpenAI's ...