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 ...

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 provides a possible worlds semantics for the system of the author's previous paper 'The Logic of Essence'. The basic idea behind the semantics is that a statement should be taken to be true ...

SUMMARY: At the beginning of the 20th century, philosophical thought was transformed by the discovery of the "new logic", i.e. mathematical or symbolic logic. With this novum organum, philosophers ...