As artificial intelligence (AI) takes on increasingly critical roles—from managing power grids to piloting autonomous ...

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 ...

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 ...

It might come as a surprise to some people that this prediction hasn’t already come to pass. Given that mathematics is a subject of logic and precision, it would seem to be perfect territory for a ...

For over two millennia, mathematicians agreed on one thing: you can’t use trigonometry to prove Pythagoras’ Theorem—because trigonometry is built on it. That logic, drilled into students and scholars ...