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Y Combinator released the Simple Agreement for Future Equity ("SAFE") investment instrument as an alternative to convertible debt in late 2013. [4] It was written by Carolynn Levy. This investment vehicle has since become popular in the U.S., Canada, [5] and Israel, due to its simplicity and low transaction costs.
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.
Y Combinator interviews and selects two batches of companies per year. The companies receive a total of $500,000 in seed money as well as advice and connections. The $500,000 in funding is made up of $125,000 on a post-money SAFE in return for 7% equity and $375,000 on an uncapped SAFE with a "most favored nation" ("MFN") provision (i.e.: "we get the same best terms you give anyone else in the ...
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, one example being B ( WW )( BW ( BBB )), discovered by R. Statman in 1986.
Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic.It was introduced by Moses Schönfinkel [1] and Haskell Curry, [2] and has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages.
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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 ...
which gives us one possible encoding of the Y combinator. A shorter variation replaces its two leading subterms with just SSI , since H α( H α) = SHH α = SSIH α. This becomes much shorter with the use of the B,C,W combinators , as the equivalent