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 ...

God is by definition a perfect being. It is more perfect to exist than to not exist. Therefore, God exists. Just given these simple ideas, a few axioms, and a fondness for pushing around abstract ...

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 ...

Moscow, Russia – September 12, 2011 – Plastic Logic is announcing today the availability of the Plastic Logic 100 for Education, an electronic textbook designed with the needs of students and ...

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 ...

We give a constructive proof of McNaughton's theorem stating that every piecewise linear function with integral coefficients is representable by some sentence in the infinite-valued calculus of ...