Algebraic logic constitutes a vibrant interdisciplinary field that investigates the close interplay between algebraic structures and logical systems. By utilising tools from universal algebra, ...

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 is a preview. Log in through your library . Abstract We study an alternative embedding of IPC into atomic system F whose translation of proofs is based, not on instantiation overflow, but instead ...