We have seen that the language of propositional logic allows us to build up expressions from propositional variables A, B, C, \ldots using propositional connectives like \to, \wedge, \vee, and \neg.

In this chapter, you will learn how to write proofs in Lean. We will start with a purely mechanical translation that will enable you to represent any natural deduction proof in Lean. We will see, ...

Abstract: As legal systems become increasingly complex and the demand for automated decision-making grows, there is a pressing need for tools that can assist legal professionals in applying legal ...

Abstract: Resolution is a fundamental technique in logic and plays a crucial role in automated reasoning and artificial intelligence. It serves as the foundation for many theorem-proving techniques ...

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 ...