This belief stems from the fact that algorithms can use the same small chunk of memory over and over, while time isn’t as forgiving—once it passes, you can’t get it back.

These algorithms are significant because they can solve the noncommutative weighted Edmonds' problem in polynomial time, demonstrating that certain complex problems can be tackled efficiently [2].

ne July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling discovery about the relationship between time and memory in computing. It ...