He constructed the first propositional logic and the first predicate logic. A few years later, but independently, the Italian mathematician Giuseppe Peano also invented a version of predicate logic.

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 studies the relationship between Argumentation Logic (AL), a recently defined logic based on the study of argumentation in AI, and classical Propositional Logic (PL). In particular, it ...