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Lecture 12
Lecture 12

... Define fold as the function fold :: (a -> a -> a) -> [a] -> a a binary function a list the result fold f [x] = x fold f (x:xs) = f x (fold f xs) ...
CITS3211 FUNCTIONAL PROGRAMMING 5. Higherorder functions
CITS3211 FUNCTIONAL PROGRAMMING 5. Higherorder functions

... meaning that you can do anything with functions that you can  do   with   values   of   other   types.     This   allows   high­level  programming techniques unavailable in imperative languages. cs123 notes: Lectures 12–13 ...
Chapter 1
Chapter 1

... conditional expressions, recursion, and functional forms to control program execution instead of imperative features such as variables and assignments • LISP began as a purely functional language and later included imperative features • Scheme is a relatively simple dialect of LISP that uses static ...
5. Functional Programming
5. Functional Programming

5. Functional Programming
5. Functional Programming

... What are curried functions? Why are they useful? How can you avoid recalculating values in a multiply recursive function? What is lazy evaluation? What are lazy lists? ...
Functional Programming in Scheme
Functional Programming in Scheme

... dynamically typed language or, equivalently, latent typed. In a latent typed language, types are associated to values rather than to the program identifiers and the type checking is performed at run time. Also Scheme is sometimes considered as a weak-typed language since values of any type can be mi ...
Haskell
Haskell

... type declaration is not necessary because Haskell will infer that 2 times in the input variable n must be a numeric type. Infix operations are functions can also be defined and overloaded by placing the operator in parenthesis. By allowing for infix operator overloading, Haskell gives the programmer ...
functional form
functional form

What is a Program?
What is a Program?

... You are free: to Share — to copy, distribute and transmit the work to Remix — to adapt the work Under the following conditions: Attribution. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). ...
Functional programming languages - Part I - Gallium
Functional programming languages - Part I - Gallium

... let x = "foo" in f 0 In what environment should the body of the function f evaluate when we compute the value of f 0 ? Dynamic scoping: in the environment current at the time we evaluate f 0. In this environment, x is bound to "foo". This is inconsistent with the λ-calculus model and is generally co ...
PPT
PPT

... • Function abstraction is the ability to convert any expression into a function that is evaluated at a later time. ...
Why Functional Programming Matters
Why Functional Programming Matters

... commercial advantage and this BCS copyright notice appears. ...
Structure of Programming Languages – Lecture 6
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The Lambda Calculus: a minimal ML?

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funprog

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Delegates and Events

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CS 135 - School of Computer Science Student WWW Server
CS 135 - School of Computer Science Student WWW Server

... Goals of this module You should understand the basic syntax of Racket, how to form expressions properly, and what DrRacket might do when given an expression causing an error. You should be comfortable with these terms: function, parameter, application, argument, constant, expression. You should be ...
An Operational Semantics for Declarative Multi
An Operational Semantics for Declarative Multi

... “f t1 . . . tn = e” where f is a function, t1 , . . . , tn are data terms (i.e., without occurrences of defined functions), the left-hand side f t1 . . . tn is linear (i.e., without multiple occurrences of variables), and e is a well-formed expression. A rule is applicable if its left-hand side matc ...
Lambda Calculus as a Programming Language
Lambda Calculus as a Programming Language

... "theoretically" we should. We forbid the use of the symbol as a free variable within the λexpression itself. This is in line with Lambda calculus where λ-expressions must be textually finite and where free variables have nothing to do with defining recursive functions. The notation E1 = E2 is used t ...
scheme1 - Computer Science and Electrical Engineering
scheme1 - Computer Science and Electrical Engineering

functional prog. in scheme
functional prog. in scheme

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Functional Programming

Functional programming Primer I COS 320 Compiling Techniques Princeton University
Functional programming Primer I COS 320 Compiling Techniques Princeton University

Powerpoint - Princeton University
Powerpoint - Princeton University

... Boolean conjunction is called andalso, not and ...
Functional Programming: Scheme
Functional Programming: Scheme

... programs as lists and garbage collected heap allocated data. –  Algol contributed lexical (static) scoping and block structure. –  Lisp and Algol both defined recursive functions. ...
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Closure (computer programming)

In programming languages, closures (also lexical closures or function closures) are a technique for implementing lexically scoped name binding in languages with first-class functions. Operationally, a closure is a record storing a function together with an environment: a mapping associating each free variable of the function (variables that are used locally, but defined in an enclosing scope) with the value or storage location to which the name was bound when the closure was created. A closure—unlike a plain function—allows the function to access those captured variables through the closure's reference to them, even when the function is invoked outside their scope.Example. The following program fragment defines a higher-order function startAt with a parameter x and a nested function incrementBy. The nested function incrementBy has access to x, because incrementBy is in the lexical scope of x, even though x is not local to incrementBy. The function startAt returns a closure containing the function incrementBy, which adds the y value to the x value, and a reference to the variable x from this invocation of startAt, so incrementBy will know where to find it once invoked:function startAt(x) function incrementBy(y) return x + y return incrementByvariable closure1 = startAt(1)variable closure2 = startAt(5)Note that, as startAt returns a function, the variables closure1 and closure2 are of function type. Invoking closure1(3) will return 4, while invoking closure2(3) will return 8. While closure1 and closure2 refer to the same function incrementBy, the associated environments differ, and invoking the closures will bind the name x to two distinct variables with different values in the two invocations, thus evaluating the function to different results.
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