{"id":14575,"date":"2025-03-30T11:05:48","date_gmt":"2025-03-30T11:05:48","guid":{"rendered":"https:\/\/topat10.com\/?p=14575"},"modified":"2025-03-30T11:05:48","modified_gmt":"2025-03-30T11:05:48","slug":"why-adding-a-full-hard-drive-can-make-a-computer-more-powerful","status":"publish","type":"post","link":"https:\/\/topat10.com\/?p=14575","title":{"rendered":"Why Adding a Full Hard Drive Can Make a Computer More Powerful"},"content":{"rendered":"<p> <br \/>\n<\/p>\n<div>\n<p class=\"paywall\">Those are pretty stringent constraints, so it wasn\u2019t obvious that the extra memory could ever prove useful. But to their surprise, Buhrman and Cleve showed that if you tweak bits in just the right way, you really can get extra computational oomph out of a full memory.<\/p>\n<p class=\"paywall\">\u201cThat was a shocker for everyone,\u201d said Loff, who was a graduate student in Buhrman\u2019s group at the time, working on the memory question with his fellow student <a data-offer-url=\"https:\/\/www.cwi.nl\/en\/people\/florian-speelman\/\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/www.cwi.nl\/en\/people\/florian-speelman\/&quot;}\" href=\"https:\/\/www.cwi.nl\/en\/people\/florian-speelman\/\" rel=\"nofollow noopener\" target=\"_blank\">Florian Speelman<\/a>. The team soon extended the result to an even larger class of problems, and published <a data-offer-url=\"https:\/\/dl.acm.org\/doi\/10.1145\/2591796.2591874\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/dl.acm.org\/doi\/10.1145\/2591796.2591874&quot;}\" href=\"https:\/\/dl.acm.org\/doi\/10.1145\/2591796.2591874\" rel=\"nofollow noopener\" target=\"_blank\">their combined results<\/a> in 2014.<\/p>\n<p class=\"paywall\">They named the new framework catalytic computing, borrowing a term from chemistry. \u201cWithout the catalyst, the reaction would not have proceeded,\u201d said <a data-offer-url=\"https:\/\/www.cse.iitk.ac.in\/users\/rtewari\/\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/www.cse.iitk.ac.in\/users\/rtewari\/&quot;}\" href=\"https:\/\/www.cse.iitk.ac.in\/users\/rtewari\/\" rel=\"nofollow noopener\" target=\"_blank\">Raghunath Tewari<\/a>, a complexity theorist at the Indian Institute of Technology, Kanpur. \u201cBut the catalyst itself remains unchanged.\u201d<\/p>\n<h2 class=\"paywall\">Not Far From the Tree<\/h2>\n<p class=\"paywall\">A small band of researchers continued to develop catalytic computing further, but no one even tried to apply it to the tree evaluation problem that had initially inspired Kouck\u00fd\u2019s quest. For that problem, the remaining open question was whether a small amount of memory could be used for storage and computation simultaneously. But the techniques of catalytic computing relied on the extra, full memory being very large. Shrink that memory and the techniques no longer work.<\/p>\n<p class=\"paywall\">Still, one young researcher couldn\u2019t help wondering whether there was a way to adapt those techniques to reuse memory in a tree evaluation algorithm. His name was <a data-offer-url=\"https:\/\/www.falsifian.org\/\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/www.falsifian.org\/&quot;}\" href=\"https:\/\/www.falsifian.org\/\" rel=\"nofollow noopener\" target=\"_blank\">James Cook<\/a>, and for him the tree evaluation problem was personal: Stephen Cook, the legendary complexity theorist who invented it, is his father. James had even worked on it in graduate school, though he mostly focused on <a href=\"https:\/\/digicoll.lib.berkeley.edu\/record\/138671\" target=\"_blank\">completely unrelated subjects<\/a>. By the time he encountered the original catalytic computing paper in 2014, James was about to graduate and leave academia for software engineering. But even as he settled into his new job, he kept thinking about catalytic computing.<\/p>\n<p class=\"paywall\">\u201cI had to understand it and see what could be done,\u201d he said.<\/p>\n<p class=\"paywall\">For years, James Cook tinkered with a catalytic approach to the tree evaluation problem in his spare time. He gave a talk about his progress at a 2019 symposium in honor of his father\u2019s <a href=\"https:\/\/www.quantamagazine.org\/complexity-theorys-50-year-journey-to-the-limits-of-knowledge-20230817\/\">groundbreaking work<\/a> in complexity theory. After the talk, he was approached by a graduate student named <a data-offer-url=\"https:\/\/iuuk.mff.cuni.cz\/~iwmertz\/\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/iuuk.mff.cuni.cz\/~iwmertz\/&quot;}\" href=\"https:\/\/iuuk.mff.cuni.cz\/~iwmertz\/\" rel=\"nofollow noopener\" target=\"_blank\">Ian Mertz<\/a>, who\u2019d fallen in love with catalytic computing five years earlier after learning about it as an impressionable young undergrad.<\/p>\n<p class=\"paywall\">\u201cIt was like a baby bird imprinting scenario,\u201d Mertz said.<\/p>\n<div class=\"GroupCalloutWrapper-bPWknp dhHsN callout callout--group callout--group-2\" data-testid=\"GroupCalloutWrapper\">\n<figure class=\"AssetEmbedWrapper-eVDQiB byBkf asset-embed callout--group-item callout--group-item-1\">\n<div class=\"AssetEmbedAssetContainer-eJxoAx dBHGoQ asset-embed__asset-container\"><span class=\"SpanWrapper-umhxW kGxnNB responsive-asset AssetEmbedResponsiveAsset-cXBNxi eCxVQK asset-embed__responsive-asset\"><picture class=\"ResponsiveImagePicture-cWuUZO dUOtEa AssetEmbedResponsiveAsset-cXBNxi eCxVQK asset-embed__responsive-asset responsive-image\"><noscript><img decoding=\"async\" alt=\"Clothing Coat Jacket Adult Person Plant Tree Face Head Photography and Portrait\" class=\"ResponsiveImageContainer-eybHBd fptoWY responsive-image__image lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_1600%2Cc_limit\/L_Science_Computing_InlineDIP_3.png\" data-sizes=\"auto\" data-srcset=\"https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_120,c_limit\/L_Science_Computing_InlineDIP_3.png 120w, https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_240,c_limit\/L_Science_Computing_InlineDIP_3.png 240w, https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_320,c_limit\/L_Science_Computing_InlineDIP_3.png 320w, https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_640,c_limit\/L_Science_Computing_InlineDIP_3.png 640w, https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_960,c_limit\/L_Science_Computing_InlineDIP_3.png 960w, https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_1280,c_limit\/L_Science_Computing_InlineDIP_3.png 1280w, https:\/\/media.wired.com\/photos\/67db1c44e168d14c4c3965c0\/master\/w_1600,c_limit\/L_Science_Computing_InlineDIP_3.png 1600w\" sizes=\"100vw\"\/><\/noscript><\/picture><\/span><\/div>\n<div class=\"CaptionWrapper-jSZdqE fJvQtP caption AssetEmbedCaption-fNQBPI dDrfgT asset-embed__caption\" data-testid=\"caption-wrapper\"><span class=\"BaseWrap-sc-gjQpdd BaseText-ewhhUZ CaptionText-bHjzlu iUEiRd kVUvEC iXWezO caption__text\"><\/p>\n<p>James Cook and Ian Mertz adapted catalytic computing techniques to design a low-memory algorithm for the tree evaluation problem.<\/p>\n<p><\/span><span class=\"BaseWrap-sc-gjQpdd BaseText-ewhhUZ CaptionCredit-ejegDm iUEiRd isTgyB fNaHcW caption__credit\">Photograph: Colin Morris\/Quanta Magazine<\/span><\/div>\n<\/figure>\n<figure class=\"AssetEmbedWrapper-eVDQiB byBkf asset-embed callout--group-item callout--group-item-2\">\n<div class=\"AssetEmbedAssetContainer-eJxoAx dBHGoQ asset-embed__asset-container\"><span class=\"SpanWrapper-umhxW kGxnNB responsive-asset AssetEmbedResponsiveAsset-cXBNxi eCxVQK asset-embed__responsive-asset\"><picture class=\"ResponsiveImagePicture-cWuUZO dUOtEa AssetEmbedResponsiveAsset-cXBNxi eCxVQK asset-embed__responsive-asset responsive-image\"><noscript><img decoding=\"async\" alt=\"Clothing TShirt Face Head Person Photography Portrait Rock and Adventure\" class=\"ResponsiveImageContainer-eybHBd fptoWY responsive-image__image lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_1600%2Cc_limit\/R_Science_Computing_InlineDIP_3.png\" data-sizes=\"auto\" data-srcset=\"https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_120,c_limit\/R_Science_Computing_InlineDIP_3.png 120w, https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_240,c_limit\/R_Science_Computing_InlineDIP_3.png 240w, https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_320,c_limit\/R_Science_Computing_InlineDIP_3.png 320w, https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_640,c_limit\/R_Science_Computing_InlineDIP_3.png 640w, https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_960,c_limit\/R_Science_Computing_InlineDIP_3.png 960w, https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_1280,c_limit\/R_Science_Computing_InlineDIP_3.png 1280w, https:\/\/media.wired.com\/photos\/67db1c447f1e178125e560ca\/master\/w_1600,c_limit\/R_Science_Computing_InlineDIP_3.png 1600w\" data-sizes=\"100vw\"\/><\/noscript><\/picture><\/span><\/div>\n<p><span class=\"BaseWrap-sc-gjQpdd BaseText-ewhhUZ CaptionCredit-ejegDm iUEiRd isTgyB fNaHcW caption__credit\">Photograph: Stefan Grosser\/Quanta Magazine<\/span><\/p>\n<\/figure>\n<\/div>\n<p class=\"paywall\">Cook and Mertz joined forces, and their efforts soon paid off. In 2020, they devised <a data-offer-url=\"https:\/\/dl.acm.org\/doi\/10.1145\/3357713.3384316\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/dl.acm.org\/doi\/10.1145\/3357713.3384316&quot;}\" href=\"https:\/\/dl.acm.org\/doi\/10.1145\/3357713.3384316\" rel=\"nofollow noopener\" target=\"_blank\">an algorithm<\/a> that solved the tree evaluation problem with less memory than a necessary minimum conjectured by the elder Cook and McKenzie\u2014though it was just barely below that threshold. Still, that was enough to collect on the $100 bet; conveniently for the Cooks, half of it stayed in the family.<\/p>\n<p class=\"paywall\">But there was still work to do. Researchers had started studying tree evaluation because it seemed as if it might finally provide an example of a problem in P that\u2019s not in L\u2014in other words, a relatively easy problem that can\u2019t be solved using very little memory. Cook and Mertz\u2019s new method used less memory than any other tree evaluation algorithm, but it still used significantly more than any algorithm for a problem in L. Tree evaluation was down, but not out.<\/p>\n<p class=\"paywall\">In 2023, Cook and Mertz came out with an <a data-offer-url=\"https:\/\/eccc.weizmann.ac.il\/report\/2023\/174\/\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/eccc.weizmann.ac.il\/report\/2023\/174\/&quot;}\" href=\"https:\/\/eccc.weizmann.ac.il\/report\/2023\/174\/\" rel=\"nofollow noopener\" target=\"_blank\">improved algorithm<\/a> that used much less memory\u2014barely more than the maximum allowed for problems in L. Many researchers now suspect that tree evaluation is in L after all, and that a proof is only a matter of time. Complexity theorists may need a different approach to the P versus L problem.<\/p>\n<p class=\"paywall\">Meanwhile, Cook and Mertz\u2019s results have galvanized interest in catalytic computing, with new works exploring <a data-offer-url=\"https:\/\/eccc.weizmann.ac.il\/report\/2024\/106\/\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;https:\/\/eccc.weizmann.ac.il\/report\/2024\/106\/&quot;}\" href=\"https:\/\/eccc.weizmann.ac.il\/report\/2024\/106\/\" rel=\"nofollow noopener\" target=\"_blank\">connections to randomness<\/a> and the effects of allowing a <a data-offer-url=\"http:\/\/arxiv.org\/abs\/2408.14670\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;http:\/\/arxiv.org\/abs\/2408.14670&quot;}\" href=\"http:\/\/arxiv.org\/abs\/2408.14670\" rel=\"nofollow noopener\" target=\"_blank\">few<\/a> <a data-offer-url=\"http:\/\/arxiv.org\/abs\/2409.05046\" class=\"external-link\" data-event-click=\"{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;http:\/\/arxiv.org\/abs\/2409.05046&quot;}\" href=\"http:\/\/arxiv.org\/abs\/2409.05046\" rel=\"nofollow noopener\" target=\"_blank\">mistakes<\/a> in resetting the full memory to its original state.<\/p>\n<p class=\"paywall\">\u201cWe\u2019ve not finished exploring what we can do with these new techniques,\u201d McKenzie said. \u201cWe can expect even more surprises.\u201d<\/p>\n<hr class=\"paywall\"\/>\n<p class=\"paywall\"><a href=\"https:\/\/www.quantamagazine.org\/catalytic-computing-taps-the-full-power-of-a-full-hard-drive-20250218\/\"><em>Original story<\/em><\/a> <em>reprinted with permission from<\/em> <a href=\"https:\/\/www.quantamagazine.org\">Quanta Magazine<\/a>, <em>an editorially independent publication of the<\/em> <a href=\"https:\/\/www.simonsfoundation.org\"><em>Simons Foundation<\/em><\/a> <em>whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences.<\/em><\/p>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Those are pretty stringent constraints, so it wasn\u2019t obvious that the extra memory could ever prove useful. But to their surprise, Buhrman and Cleve showed that if you tweak bits in just the right way, you really can get extra computational oomph out of a full memory. \u201cThat was a shocker for everyone,\u201d said Loff, [&hellip;]<\/p>\n","protected":false},"author":601,"featured_media":14576,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[703],"tags":[1173,914,890],"class_list":["post-14575","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-technology","tag-computing","tag-quanta-magazine","tag-science"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Why Adding a Full Hard Drive Can Make a Computer More Powerful | Unlock Informed Choices with Us<\/title>\n<meta name=\"description\" content=\"Ten years ago, researchers proved that adding full memory can theoretically aid computation. 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