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Also of note, Y combinator has a short expression in this system, as Y = BU(CBU) = BU(BWB) = B(W(WK))(BWB), where U = WI = SII is the self-application combinator. Using just two combinators, B and W, an infinite number of fixpoint combinators can be constructed, [2] one example being B(WW)(BW(BBB)), discovered by R. Statman in ...
The simplest example of a combinator is I, the identity combinator, defined by (I x) = x. for all terms x. Another simple combinator is K, which manufactures constant functions: (K x) is the function which, for any argument, returns x, so we say ((K x) y) = x. for all terms x and y. Or, following the convention for multiple application, (K x y) = x
The positive impact alternative meat products -- like plant-based meat or cultivated meat -- can have on the environment is striking. The Good Food Institute (GFI) estimates that alternative meat ...
The Y combinator may also be used in implementing Curry's paradox. The heart of Curry's paradox is that untyped lambda calculus is unsound as a deductive system, and the Y combinator demonstrates this by allowing an anonymous expression to represent zero, or even many values. This is inconsistent in mathematical logic.
It developed as a project of Graham's company Y Combinator, functioning as a real-world application of the Arc programming language which Graham co-developed. [4] At the end of March 2014, Graham stepped away from his leadership role at Y Combinator, leaving Hacker News administration in the hands of other staff members.
Y Combinator—the startup incubator that helped launch DoorDash, Airbnb, Reddit, and Instacart—is backing a weapons maker for the first time, betting that it could shake up the defense industry ...
Y Combinator started doing so in Summer 2022, though its demo days have still been remote. (YC says its next Demo Day will be partially in-person at Pier 70, though presentations will still be online)
Y Combinator, LLC (YC) is an American technology startup accelerator and venture capital firm launched in March 2005 [1] which has been used to launch more than 4,000 companies. [2] The accelerator program started in Boston and Mountain View , expanded to San Francisco in 2019, and was entirely online during the COVID-19 pandemic. [ 3 ]