We consider extending the modal logic KD45, commonly taken as the baseline system for belief, with propositional quantifiers that can be used to formalize natural language sentences such as ...

Epistemic logic constitutes a rigorous framework for representing and reasoning about knowledge and belief. Central to this discipline is the formalisation of how agents acquire, retain and attribute ...

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 ...

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 ...