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 ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

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 . Journal Information The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued ...

Constructive mathematics reconsiders traditional foundational approaches by emphasising explicit constructions and algorithmic content rather than relying solely on non-constructive existence proofs.

Understanding maths, logic and computation is becoming increasingly important in business -- especially if you need to evaluate new technology. Can your wi-fi router or your smartphone really make you ...

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 ...