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 ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

when thinking about logical agents, we imagine that the agent has a knowledge base (KB for short) that contains logical sentences that describe the state of the world you could think of a KB as a ...

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 ...