3 ms·
To be clear, this was/is a statement about the worst case, not every problem. So it may be clearer to rephrase your sentence as: For nearly 50 years theorists
by svat 1y ago
To be clear, this was/is a statement about the worst case, not every problem. So it may be clearer to rephrase your sentence as:
For nearly 50 years theorists believed that there exist problems taking t steps that also need roughly t/log(t) bits of memory.
(The Quanta magazine article https://www.quantamagazine.org/for-algorithms-a-little-memory-outweighs-a-lot-of-time-20250521/ https://www.quantamagazine.org/for-algorithms-a-little-memor... gives some context: for a long time, the best result was t/log(t) as proved in "On Time Versus Space" https://dl.acm.org/doi/10.1145/322003.322015 https://dl.acm.org/doi/10.1145/322003.322015 by Hopcroft, Paul and Valiant in 1975.)
- makira 1y agoSee previous discussion: https://news.ycombinator.com/item?id=44055347 https://news.ycombinator.com/item?id=44055347