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These are very tough limits, so it was not clear that the additional memory could prove that it is not useful. But the surprise Buhrman and Klive, you can only get the calculation oomph in addition to full memory if you’re just tweaking on the right track.
“It was a shock for everyone,” he said, at this time the postgraduate group of postgraduates in the group of time work on a memory issue with colleagues Florian Speelman. Soon the team extended and published the result with a larger problem class Their combined results In 2014.
Borrowed for a while from Chemistry, the new frame took the name of catalytic calculation. “The reaction without a catalyst would not continue,” he said Raghunath TewariA complex theorist, Kanpur at the Indian Institute of Technology. “But the catalyst itself remains unchanged.”
Not far from the tree
A small group of small researchers continued to further develop the catalytic calculation, but no one was trying to apply him to the tree assessment problem that inspired Koucký first. The remaining open question for this problem was to be used in a small amount of memory for storage and calculation. However, in addition to catalytic calculation methods, the full memory is very large, very large. These memory and techniques are no longer working.
Again, a young researcher could not help you think that there is a way to adapt these methods to reuse memory in the wood evaluation algorithm. The name was James CookAnd for him, the problem of the tree assessment was personal: Stephen Chef, the theorist of the theorist who invented him is the theorist of the theorist. James was even working on it, even if he worked at a Master’s School Entirely unrelated subjects. As soon as he met with the original catalytic calculation paper in 2014, Jacob was about to leave the Academy for suspension and software engineering. However, when its new job, he continued to think about catalytic calculation.
“I had to understand this and see what could be done.”
Over the years, James is inserted with a catalytic approach to the problem of wood evaluation. In 2019, he spoke of his progress in his father’s honor in the symposium of 2019 Basicine work in the theory of complexity. After talking, he approached a graduate student named Ian mertzWho in love with catalytic calculation five years ago after learning as a young joke that does not make an impression about it.
“It was like a baby bird in the scenario,” said Mertz.
Photo: Stefan Grosser / Guanta magazine
Cook and Mertz joined the forces and paid the efforts soon. They made in 2020 algorithm This has solved a smaller memory of wood assessment problem with less memory than a gentle minimum with a large chef and McKenzie. Was still enough to collect $ 100 in bets; Easily for the chefs, half of it remained in the family.
But there was still work to do. Researchers began to study the tree assessment, because it seemed that a relatively easy problem could not be solved using very little memory, as it could present an example of a problem in N. The new method of cooking and Mertz is less memory used in more memory than any other tree assessment algorithm, but the assessment of the L. tree is used for any algorithm for a problem, but it was not abroad.
In 2023, the cook and Mertz came out with a Improved algorithm Lesser is less than the maximum memory allowed for problems in L., now it’s only a proof of the fact that the tree’s assessment is in L. Theorists of complexity may require a different approach compared to P.
Meanwhile, the results of the cook and mertz, catalytic computing, were interested in the study of new works Random connections and the effect of permitting minor fault in returning the full memory to its original position.
“We have not finished investigating what we can do with these new techniques,” McKenzie said. “We can expect more surprises.”
Original story reprinted with permission How many magazines, An independent publication of the editor Simons Foundation Whose mission developments and mathematics and physical and physical and physical and life sciences include the development of science and increase the understanding of science.
