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Verified dynamic programming with Σ-types in Lean

news.ycombinator.com Tanner Duve 2025-09-18 22:28:30

1. Introduction If you’ve taken an algorithms class, you have likely seen dynamic programming, specifically a technique called memoization. Memoization works to optimize recursive algorithms by caching the solutions to subproblems in a table, and when a subproblem is encountered, it queries the table instead of recomputing the solution. This gives us an exponential performance boost. This blog post will show how to solve a dynamic programming problem using memoization in Lean, and verify its c

Topics: let maxdollars_spec memo proof type

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Here are the best robot vacuum deals available right now

theverge.com Sheena Vasani 2025-09-22 06:00:00

We’re in an age where you can realistically delegate tasks to smart hunks of metal, whether it’s a self-driving car or a robot that can clean on your behalf. Most of us probably won’t be able to afford the helpful sentient humanoids being developed in our lifetimes, but robot vacuums are an affordable way to experience that promised utopia right now. Today’s floor cleaners are also more advanced than ever. In addition to vacuuming, many of the best models can now mop, allowing you to tackle bot

Topics: amazon best cleaning mop robot

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Meta held talks to buy Thinking Machines, Perplexity, and Safe Superintelligence

theverge.com Alex Heath 2025-09-22 06:53:47

is a deputy editor and author of thenewsletter. He has been reporting on the tech industry for more than a decade. At this point, it’s becoming easier to say which AI startups Mark Zuckerberg hasn’t looked at acquiring. In addition to Ilya Sutskever’s Safe Superintelligence (SSI), sources tell me the Meta CEO recently discussed buying ex-OpenAI CTO Mira Murati’s Thinking Machines Lab and Perplexity, the AI-native Google rival. None of these talks progressed to the formal offer stage for variou

Topics: ai glasses meta people zuckerberg

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Rumor: Two new colors competing for the iPhone 17 base model

9to5mac.com Marcus Mendes 2025-09-22 10:23:00

According to leaker Majin Bu, Apple is experimenting with two new colors for this year’s iPhone 17 base models, but only one might make it to launch. And if the current internal scuttlebutt is anything to go by, there seems to be a frontrunner. Purple vs. Green Bu’s sources say that Purple and Green are currently in development for the aluminum-framed iPhone 17 and iPhone 17 Plus, but Apple will likely pick just one of them for the final lineup this fall. And Purple is in the lead. As the lea

Topics: 17 apple green iphone purple

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Report: Apple held internal talks about acquiring AI search startup Perplexity

9to5mac.com Marcus Mendes 2025-09-22 10:46:32

As Apple scrambles to play catch-up in the generative AI race, a new report says the company has considered making its biggest acquisition ever. According to Bloomberg, Apple executives have held internal discussions about a potential bid for Perplexity AI, the fast-growing AI startup known for its conversational web search platform. This would mark Apple’s biggest acquisition ever As reported by Mark Gurman, the talks are still at an early stage and may not result in an actual offer, but the

Topics: acquisition ai apple perplexity search

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How to enable earthquake alerts on your Android phone (including these Samsung models)

zdnet.com Artie Beaty 2025-09-22 10:02:00

bymuratdeniz/Getty Images The next time you get an alert on your Android phone, it might just be life-saving information. Google expanded its earthquake alert system last fall; this week, Samsung introduced its own version that might be even better. Here's how these critical alerts work and how you can turn them on. Android earthquake alerts are available in all 50 US states and six US territories, including American Samoa, Guam, Northern Mariana Islands, Puerto Rico, the US Virgin Islands, an

Topics: alerts android earthquake google samsung

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How to turn AI into your own research assistant with this free Google tool

zdnet.com Lance Whitney 2025-09-22 10:05:00

Screenshot by Lance Whitney/ZDNET When I need to research a topic these days, I often turn to AI, at least as a starting point. But depending on my questions and which chatbot I use, the response may not always be satisfying -- it can be too brief or canned. In that case, I find myself wanting more. That's when I turn to Google's Learn About experiment. Also: 8 ways to write better ChatGPT prompts - and get the results you want faster As the name implies, Learn About is more than just a way t

Topics: ai explore google response topic

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Harper – an open-source alternative to Grammarly

news.ycombinator.com Unknown 2025-09-22 08:51:45

No Content Available

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Libraries are under-used. LLMs make this problem worse

news.ycombinator.com Unknown 2025-09-22 10:18:42

Libraries are under-used. LLMs make this problem worse. Libraries are under-used. Why? Briefly: Writing code is more fun than reading documentation. Dunning-Kruger effect leads us to understimate the complexity of the problem solved by the library we're considering. Perverse incentives: libraries compete with big internal engineering projects that look good in a promo packet. LLMs make this problem worse. Why? Less briefly: Vibe coding is more fun than reading documentation. Shit, vibe-codin

Topics: code libraries library llms problem

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Today's NYT Strands Hints, Answers and Help for June 21, #475

cnet.com See Full Bio 2025-09-22 09:00:03

Looking for the most recent Strands answer? Click here for our daily Strands hints, as well as our daily answers and hints for The New York Times Mini Crossword, Wordle, Connections and Connections: Sports Edition puzzles. Today's NYT Strands puzzle is a bit of an oddball. Some people might not really know what the spangram word even means, although the themed words all fit together well enough. If you need hints and answers, read on. I go into depth about the rules for Strands in this story.

Topics: hints puzzle strands today words

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Today's NYT Connections Hints, Answers and Help for June 21, #741

cnet.com See Full Bio 2025-09-22 09:00:05

Looking for the most recent Connections answers? Click here for today's Connections hints, as well as our daily answers and hints for The New York Times Mini Crossword, Wordle, Connections: Sports Edition and Strands puzzles. Today's NYT Connections puzzle has a real puzzler of a purple category. If you know your global geography and enjoy wordplay, this is your day. Read on for clues and today's Connections answers. The Times now has a Connections Bot, like the one for Wordle. Go there after

Topics: answers connections group purple today

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Apple’s tiny M4 Mac Mini has dropped to its lowest price yet

theverge.com Brandt Ranj 2025-09-22 06:32:21

If you’ve been curious about trying out a Mac for the first time or need a small computer powerful enough to be your home media server, we strongly recommend the latest Mac Mini. Thankfully, the step-up M4 model with 512GB of storage and 16GB of RAM is on sale at Amazon and B&H Photo for $689 ($110 off), which marks its lowest price ever. The entry-level model with 256GB of storage is also on sale at Amazon and B&H Photo for $469 ($130 off) — another all-time low. Former Verge staffer Chris Wel

Topics: amazon apple mini ports pro

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Cluely, a startup that helps ‘cheat on everything,’ raises $15M from a16z

techcrunch.com Marina Temkin 2025-09-22 10:06:19

Cluely, a startup that claims to help users “cheat” on job interviews, exams, and sales calls, has raised a $15 million Series A led by Andreessen Horowitz, the company announced on Friday with a video posted on X. Two investors who were not part of the deal tell TechCrunch they believe Cluely’s post-money valuation is around $120 million. Andreessen Horowitz declined to comment on that figure. Lee didn’t respond to a request for comment. Cluely’s new funding comes roughly two months after it

Topics: cluely lee million techcrunch ventures

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Google Pixel Stand (2nd Gen) deal: We’ve never seen it this cheap!

androidauthority.com Unknown 2025-09-22 14:55:43

Robert Triggs / Android Authority As Android fans, the Google Pixel Stand (2nd Gen) is obviously one of our favorite wireless chargers. It doesn’t often go on sale, and the lowest we’ve seen it go for was $53.93 back in 2022! Today, it’s on sale for just $43.99, making this a record-low price. Get the Google Pixel Stand 2nd Gen for just $43.99 ($35.01 off) This offer is available from eBay, but the seller is actually Best Buy. This gives us a level of confidence, as it is not just a random onl

Topics: charging google pixel stand wireless

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Apple shareholders sue over Apple Intelligence and Siri delays

9to5mac.com Chance Miller 2025-09-22 14:03:26

Apple is continuing to face fallout from its Apple Intelligence rollout. As spotted by Reuters, Apple shareholders have sued Apple in a proposed class action securities fraud case for allegedly “downplaying how long it needed to integrate advanced artificial intelligence into its Siri voice assistant.” The lawsuit alleges that this misrepresentation negatively impacted iPhone sales and Apple’s stock price. In the lawsuit, Apple executives, including CEO Tim Cook, CFO Kevan Parekh, and former C

Topics: apple intelligence lawsuit shareholders siri

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iOS 26 to let third-party apps build their own AirDrop alternative

9to5mac.com Marcus Mendes 2025-09-22 14:44:48

Apple’s tight grip on local wireless sharing is finally loosening, even if rather reactively. With iOS 26, developers are getting a new API that allows third-party apps to discover and connect nearby devices over Wi-Fi, without needing an internet connection. Here’s how it’ll work. Wi-Fi Aware As observed by iHelpBR, the core of this news boils down to Wi-Fi Aware, which will allow nearby devices to find each other and create a direct peer-to-peer connection over Wi-Fi, even when they’re not o

Topics: apple devices fi sharing wi

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Verified Dynamic Programming with Σ-types in Lean

news.ycombinator.com Tanner Duve 2025-09-19 08:28:30

1. Introduction If you’ve taken an algorithms class, you have likely seen dynamic programming, specifically a technique called memoization. Memoization works to optimize recursive algorithms by caching the solutions to subproblems in a table, and when a subproblem is encountered, it queries the table instead of recomputing the solution. This gives us an exponential performance boost. This blog post will show how to solve a dynamic programming problem using memoization in Lean, and verify its c

Topics: let maxdollars_spec memo proof type

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Show HN: Inspect and extract files from MSI installers directly in your browser

news.ycombinator.com Unknown 2025-09-22 14:04:01

MSI Viewer and Extractor¶ This interactive tool allows you to view the contents of MSI files and extract their files directly in your browser. The processing happens entirely on your device - no files are uploaded to any server. Behind the scenes, it is running pymsi using Pyodide.

Topics: allows browser directly files msi

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Meta approached Perplexity before massive Scale AI deal

cnbc.com Deirdre Bosa Ashley Capoot 2025-09-22 18:33:26

Meta approached artificial intelligence startup Perplexity AI about a potential takeover bid before ultimately investing $14.3 billion into Scale AI, CNBC confirmed on Friday. The two companies did not finalize a deal, according to two people familiar with the matter who asked not to be named because of the confidential nature of the negotiations. One person familiar with the talks said it was "mutually dissolved," while another person familiar with the matter said Perplexity walked away from

Topics: ai cnbc familiar meta perplexity

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Yet another Android brand is copying the iPhone’s Action button

androidauthority.com Unknown 2025-09-22 18:10:48

Ryan Haines / Android Authority TL;DR Apple replaced the mute switch with a customizable Action button on the iPhone 15 Pro models. OnePlus recently copied this move and replaced its iconic alert slider with a customizable button on the OnePlus 13s. Another Android brand could soon follow suit and add a customizable button on an upcoming phone. After including a silent switch on every iPhone model since the original, Apple dropped it in favor of a customizable button starting with the iPhone

Topics: button customizable fold iphone oneplus

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BBC Threatens to Sue Perplexity, Alleging 'Verbatim' Reproduction of Its Content

cnet.com See Full Bio 2025-09-22 17:32:00

The BBC is threatening to sue AI search engine Perplexity for unauthorized use of its content, alleging the artificial intelligence company generates BBC's material "verbatim." In a letter to Perplexity CEO Aravind Srinivas, as published by The Financial Times on Friday, the BBC alleges that Perplexity's default AI model was "trained using BBC content." The BBC said it would seek an injunction unless Perplexity stopped scraping BBC content, deleted all BBC material and submitted a "a proposal f

Topics: ai bbc content perplexity search

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Leaker doubles down on two key display changes for the iPhone 18 Pro

9to5mac.com Marcus Mendes 2025-09-21 22:32:10

If you were hoping Apple’s iPhone 18 Pro models would shake up their physical screen sizes, you can extra-officially temper your expectations. But that doesn’t mean the 2026 lineup won’t bring significant shifts in how the front of the iPhone looks. Here’s what may be coming. A new leak from Digital Chat Station on Weibo today says the iPhone 18 Pro and iPhone 18 Pro Max will stick with the same display sizes as the current iPhone 16 Pro series: roughly 6.3 inches and 6.9 inches, respectively.

Topics: 18 apple display iphone pro

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Billions of login credentials have been leaked online

news.ycombinator.com Unknown 2025-09-22 21:37:14

NEW YORK (AP) — Researchers at cybersecurity outlet Cybernews say that billions of login credentials have been leaked and compiled into datasets online, giving criminals “unprecedented access” to accounts consumers use each day. According to a report published this week, Cybernews researchers have recently discovered 30 exposed datasets that each contain a vast amount of login information — amounting to a total of 16 billion compromised credentials. That includes user passwords for a range of p

Topics: credentials cybernews data leaked login

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Defending the Internet: how Cloudflare blocked a monumental 7.3 Tbps DDoS attack

news.ycombinator.com Unknown 2025-09-22 22:34:21

9 min read This post is also available in Français Nederlands and Español In mid-May 2025, Cloudflare blocked the largest DDoS attack ever recorded: a staggering 7.3 terabits per second (Tbps). This comes shortly after the publication of our DDoS threat report for 2025 Q1 on April 27, 2025, where we highlighted attacks reaching 6.5 Tbps and 4.8 billion packets per second (pps). The 7.3 Tbps attack is 12% larger than our previous record and 1 Tbps greater than a recent attack reported by cyber

Topics: attack ddos reflection traffic udp

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An analysis of recent multithreading improvements for a smoother game

news.ycombinator.com Unknown 2025-09-19 23:56:40

UNIT: Dedmen, Programmer, Programming TO: Arma 3 Users OPSUM: An analysis of recent multithreading improvements for a smoother game experience SITREP Welcome to this technical deep dive into Arma 3's performance optimizations in update 2.20. Before handing you over to this blog's actual author, I wanted to share a few words on the state of Live Ops. Yes, REPception is now a thing. Some 12 years since its initial release, we still find ourselves releasing free platform updates to the game. T

Topics: game parallel particles run simulation

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Malicious AI swarms can threaten democracy

news.ycombinator.com Unknown 2025-09-22 22:51:17

For full functionality of this site it is necessary to enable JavaScript. Here are instructions for enabling JavaScript in your web browser.

Topics: browser enable enabling functionality javascript

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James Gunn Says ‘Get Off Matt’s Nuts,’ ‘The Batman’ Sequel Will Happen When It Happens

gizmodo.com Sabina Graves 2025-09-22 20:45:02

Cool your jets Batman fans, James Gunn has heard you loud and clear over the highly anticipated sequel to Matt Reeves’ The Batman. So much so that he recently expressed his frustration with the demand in defense of the time DC Studios was taking. “Listen, we’re supposed to get a script in June. I hope that happens. We feel really good about it,” Gunn told Entertainment Weekly, and colorfully added, “People should get off Matt’s nuts because it’s like, let the guy write the screenplay in the amo

Topics: gunn just matt people time

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The "USB killer" is dead: Apple drops FireWire support in macOS 26

techspot.com Alfonso Maruccia 2025-09-23 02:13:00

What just happened? FireWire was Apple's ambitious attempt to establish a novel connectivity technology for its computer ecosystem back in the 90s. Now, Cupertino is unceremoniously removing the standard from its modern operating system capabilities. The recently introduced macOS 26 "Tahoe" will bring a new naming scheme for Apple's operating system ecosystem, novel features, and a highly questionable Vista-like UI redesign. The upcoming release will also mark the end of official support for ou

Topics: apple firewire macos support technology

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Apple vs. generative AI: Who needs who?

zdnet.com Jason Hiner 2025-09-23 02:03:00

Tim Cook at Apple WWDC 2025. Jason Hiner/ZDNET One of my editors once told me that a cynic will always sound more rational, but that doesn't mean they're right. French statesman Francois Guizot basically said the same thing from the other POV: "The world belongs to optimists. Pessimists are only spectators." Apple's AI strategy has a lot of cynics and pessimists -- and they sound pretty rational based on what we've seen over the past year. The long-awaited revamp of Siri has never materialized

Topics: ai apple features lot wwdc

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I found a file-transferring app that works between Android and Linux - and it's free to use

zdnet.com Jack Wallen 2025-09-23 02:15:00

Must. Connect. To. Linux. Jack Wallen/ZDNET Almost daily, I need to send a file from my Pop!_OS Linux desktop to my Android device. Over the years, I've found some solutions, but this latest option, called Packet, makes sending files from Linux to Android a breeze. Packet works with Quick Share, and both desktop and mobile devices only have to be on the same wireless network to function. Once on the same network, sending a file to Android is simple. Also: My 6 favorite open-source Android app

Topics: android file files linux packet

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Latest Tech News

Verified dynamic programming with Σ-types in Lean

Here are the best robot vacuum deals available right now

Meta held talks to buy Thinking Machines, Perplexity, and Safe Superintelligence

Rumor: Two new colors competing for the iPhone 17 base model

Report: Apple held internal talks about acquiring AI search startup Perplexity

How to enable earthquake alerts on your Android phone (including these Samsung models)

How to turn AI into your own research assistant with this free Google tool

Harper – an open-source alternative to Grammarly

Libraries are under-used. LLMs make this problem worse

Today's NYT Strands Hints, Answers and Help for June 21, #475

Today's NYT Connections Hints, Answers and Help for June 21, #741

Apple’s tiny M4 Mac Mini has dropped to its lowest price yet

Cluely, a startup that helps ‘cheat on everything,’ raises $15M from a16z

Google Pixel Stand (2nd Gen) deal: We’ve never seen it this cheap!

Apple shareholders sue over Apple Intelligence and Siri delays

iOS 26 to let third-party apps build their own AirDrop alternative

Verified Dynamic Programming with Σ-types in Lean

Show HN: Inspect and extract files from MSI installers directly in your browser

Meta approached Perplexity before massive Scale AI deal

Yet another Android brand is copying the iPhone’s Action button

BBC Threatens to Sue Perplexity, Alleging 'Verbatim' Reproduction of Its Content

Leaker doubles down on two key display changes for the iPhone 18 Pro

Billions of login credentials have been leaked online

Defending the Internet: how Cloudflare blocked a monumental 7.3 Tbps DDoS attack

An analysis of recent multithreading improvements for a smoother game

Malicious AI swarms can threaten democracy

James Gunn Says ‘Get Off Matt’s Nuts,’ ‘The Batman’ Sequel Will Happen When It Happens

The "USB killer" is dead: Apple drops FireWire support in macOS 26

Apple vs. generative AI: Who needs who?

I found a file-transferring app that works between Android and Linux - and it's free to use

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