MIT Press recently published Fundamental Proof Methods in Computer Science, a book by Konstantine Arkoudas and David Musser, a professor emeritus of computer science at the Rensselaer Polytechnic ...

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 ...

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 ...