In mathematics, proofs can be written down and shared. In cryptography, when people are trying to avoid revealing their secrets, proofs are not always so simple—but a new result significantly closes ...

So cosmologists feel confident in modelling the universe using the “maximally symmetric” description of space-time in Einstein’s theory of general relativity. This symmetric vision for the universe, ...

Print Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal reasoning.