What is a Y-combinator? [closed] - Stack Overflow
Jul 16, 2011 · This means that a y-combinator must be written for any argument count that one needs to use. Below is an example of how the usage and working of a Y-Combinator, in C#. Using a Y-combinator involves an "unusual" way of constructing a recursive function.
Y-Combinator Practical Example - Stack Overflow
Feb 14, 2016 · So until our machines switch from Turing machines to running on lambda calculus, the Y combinator will be strictly academic. Note: other functional techniques related to the Y combinator are useful, so keep at it. Understanding the Y combinator will help you understand continuations, lazy evaluation, etc.
function - Using the Y Combinator in C# - Stack Overflow
Aug 5, 2015 · To do this, I thought of using the Lambda Calculus' Y combinator. Here's the first definition: Y = λf.(λx.f(x x))(λx.f(x x)) Here's the reduced definition: Y g = g(Y g) I attempted to write them in C# like this: // Original Lambda Y = f => (new Lambda(x => f(x(x)))(new Lambda(x => f(x(x))))); // Reduced Lambda Y = null; Y = g => g(Y(g));
Good explanation of "Combinators" (For non mathematicians)
Shortly, Y combinator is a higher order function that is used to implement recursion on lambda expressions (anonymous functions). Check the article How to Succeed at Recursion Without Really Recursing by Mike Vanier - it's one of best practical explanation of this matter I've seen. Also, scan the SO archives: What is a y-combinator?
y-combinator in javascript - Stack Overflow
May 4, 2017 · Alternate Y-combinators. Here we can build a Y-combinator from the ground up // standard definition const Y = f => f (Y (f)) // prevent immediate infinite recursion in applicative order language (JS) const Y = f => f (x => Y (f) (x)) // remove reference to self using U combinator const U = f => f (f) const Y = U (h => f => f (x => h (h) (f) (x)))
Newest 'Y-Combinator' Questions - Stack Overflow
Dec 28, 2022 · I hope you all to be fine. I'm implementing the fixed-point Y-combinator in Harbour and I'm having some troubles with it. Well, the Y-combinator can be defined by the lambda-calculus as: Y = (λh.λF.F(...
How do I define y-combinator without "let rec"? - Stack Overflow
The Y combinator you can implement works exactly the way you want, though. I would suggest you try scheme if you want a real Church-style Y combinator. Use the applicative version given above, as other versions won't work, unless you explicitly add laziness, or use a …
c# - Alternative Y combinator definition - Stack Overflow
Jan 26, 2011 · Haskell Curry invented the Y combinator to define and use anonymous recursive functions in the untyped lambda calculus, defined as follows: Y = λf·(λx·f (x x)) (λx·f (x x)) My definition defeats the original purpose of the Y combinator as it relys upon C#'s inherent support for defining recursive functions. It is, however, still useful in ...
Y combinator discussion in "The Little Schemer"
May 8, 2012 · So, I've spent a lot of time reading and re-reading the ending of chapter 9 in The Little Schemer, where the applicative Y combinator is developed for the length function. I think my confusion boils down to a single statement that contrasts two versions of length (before the combinator is factored out):
Understanding Y Combinator through generic lambdas
I've recently come across this proposal that wants to add a Y Combinator to the Standard Library, and after reading it, it seems extremely similar to what I am doing here. Unfortunately, the concept of the Y Combinator still doesn't "click" for me - I am missing something and I cannot visualize how to generalize what I did with the self ...