Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

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 Proof-theoretical notions and techniques, developed on the basis of sentential/symbolic representations of formal proofs, are applied to Euler ...

2019-12-15T10:00:22-05:00https://images.c-span.org/Files/6da/20190930024105002_hd.jpgMathematician Eugenia Cheng explored the limits of logic and UCLA history ...

Modular and orthogonal genetic logic gates are essential for building robust biologically based digital devices to customize cell signalling in synthetic biology. Here we constructed an orthogonal AND ...

The cosmos cannot be the source of its own existence. The cosmos is not a necessary being. In this regard, David Hart rightly remarks that “the contingent can only exist derivatively, receiving its ...