ppt - Computer Science at RPI
... represents the same f function, except it is anonymous. To represent the function evaluation f(2) = 4, we use the following -calculus syntax: ...
... represents the same f function, except it is anonymous. To represent the function evaluation f(2) = 4, we use the following -calculus syntax: ...
type - ktuce
... for any type a, length takes a list of values of type a and returns an integer. ...
... for any type a, length takes a list of values of type a and returns an integer. ...
ppt
... variables when beta-reducing a lambda calculus expression. In the following, we rename x to z, (or any other fresh variable): (x.(y x) x) ...
... variables when beta-reducing a lambda calculus expression. In the following, we rename x to z, (or any other fresh variable): (x.(y x) x) ...
Chapter 7: Functional Programming Languages
... An intermediate strategy, used in Haskell. As in call by name, the expression is not evaluated when it is put to the environment. But when the value is needed for the first time, the result of evaluation is saved in the environment, and the next look-up of the variable will not need to compute it ag ...
... An intermediate strategy, used in Haskell. As in call by name, the expression is not evaluated when it is put to the environment. But when the value is needed for the first time, the result of evaluation is saved in the environment, and the next look-up of the variable will not need to compute it ag ...
Functional Programming
... An interpreter for Haskell, and the most widely used implementation of the language; An interactive system, which is well-suited for teaching and prototyping purposes; Hugs is freely available from: www.haskell.org/hugs ...
... An interpreter for Haskell, and the most widely used implementation of the language; An interactive system, which is well-suited for teaching and prototyping purposes; Hugs is freely available from: www.haskell.org/hugs ...
Lecture 11 - Nipissing University Word
... A lambda expression has the form: (lambda argument-list function-body ) In other words, a lambda expression is somewhat like defun, except that it defines an unnamed function, or it allows the user to define a function with no name. For example, ((lambda (x y) (+ x y)) 2 3) binds x and y to 2 an ...
... A lambda expression has the form: (lambda argument-list function-body ) In other words, a lambda expression is somewhat like defun, except that it defines an unnamed function, or it allows the user to define a function with no name. For example, ((lambda (x y) (+ x y)) 2 3) binds x and y to 2 an ...
Modeling, Specification Languages, Array Programs
... Type map α denotes maps indexed by integers holding values of type α. In this axiomatization, the indexes are unbounded; the case of bounded arrays will be addressed later. The function select allows to access the i-th element of a map, that is, select(a,i) models the usual notation a[i]. The functi ...
... Type map α denotes maps indexed by integers holding values of type α. In this axiomatization, the indexes are unbounded; the case of bounded arrays will be addressed later. The function select allows to access the i-th element of a map, that is, select(a,i) models the usual notation a[i]. The functi ...
Functional Programming, an introduction
... detailed tuning of a low-level algorithm, an imperative language like C would probably be a better choice than Haskell, exactly because it provides more intimate control over the exact way in which the computation is carried out. ...
... detailed tuning of a low-level algorithm, an imperative language like C would probably be a better choice than Haskell, exactly because it provides more intimate control over the exact way in which the computation is carried out. ...
Programming Languages and Compilers (CS 421)
... Referential Transparency - In an FPL, the evaluation of a function always produces the same result given the same parameters Tail Recursion – Writing recursive functions that can be automatically converted to iteration ...
... Referential Transparency - In an FPL, the evaluation of a function always produces the same result given the same parameters Tail Recursion – Writing recursive functions that can be automatically converted to iteration ...
Haskell exercises set 1
... 24. The function take takes as input a positive integer n and a list, and gives back as output the list consisting of the first n elements of the input-list (in order). The function drop takes as input a postitive integer b and a list, and gives back as output the list obtained by removing the first ...
... 24. The function take takes as input a positive integer n and a list, and gives back as output the list consisting of the first n elements of the input-list (in order). The function drop takes as input a postitive integer b and a list, and gives back as output the list obtained by removing the first ...
10~Chapter 10_Functi.. - Programming Assignment 0
... well-defined, so applicative order can be used • A non-strict language does not require all arguments to be well-defined; it requires normal-order evaluation Copyright © 2009 Elsevier ...
... well-defined, so applicative order can be used • A non-strict language does not require all arguments to be well-defined; it requires normal-order evaluation Copyright © 2009 Elsevier ...
recursive functions
... is the function of x which multiplies x by 2 The part of the expression that occurs after λx is called the body of the expression. When application of λ-abstraction occurs, we return the result of the body evaluation. The body can be any λ-expression, therefore it may be a λ-abstraction. The paramet ...
... is the function of x which multiplies x by 2 The part of the expression that occurs after λx is called the body of the expression. When application of λ-abstraction occurs, we return the result of the body evaluation. The body can be any λ-expression, therefore it may be a λ-abstraction. The paramet ...
Lambda the Ultimate - Rice University Campus Wiki
... that the rule uses safe substitution, where safe substitution renames local variables in the code body that is being modified by the substitution to avoid capturing free variables in the argument expression that is being ...
... that the rule uses safe substitution, where safe substitution renames local variables in the code body that is being modified by the substitution to avoid capturing free variables in the argument expression that is being ...
Chapter 15 slides - University of Hawaii
... Copyright © 2007 Addison-Wesley. All rights reserved. ...
... Copyright © 2007 Addison-Wesley. All rights reserved. ...
PowerPoint
... • Lambda notation is used to specify functions and function definitions. Function applications and data have the same form. e.g., If the list (A B C) is interpreted as data it is a simple list of three atoms, A, B, and C If it is interpreted as a function application, it means that the function name ...
... • Lambda notation is used to specify functions and function definitions. Function applications and data have the same form. e.g., If the list (A B C) is interpreted as data it is a simple list of three atoms, A, B, and C If it is interpreted as a function application, it means that the function name ...
Chapter 11 - Functional Programming, Part I: Concepts and Scheme
... 1. Constant atoms, such as numbers and strings, evaluate to themselves. 2. Identifiers are looked up in the current environment and replaced by the value found there. (The environment in Scheme is essentially a dynamically maintained symbol table that associates identifiers to values.) 3. A list ...
... 1. Constant atoms, such as numbers and strings, evaluate to themselves. 2. Identifiers are looked up in the current environment and replaced by the value found there. (The environment in Scheme is essentially a dynamically maintained symbol table that associates identifiers to values.) 3. A list ...
Lambda
... Beta reduction must not be permitted to do variable capture. If capture would occur, use alpha conversion first to rename variables. When as many beta reductions as possible have been applied, the resulting expression is in normal form. CSE 341 -- S. Tanimoto Lambda Calculus ...
... Beta reduction must not be permitted to do variable capture. If capture would occur, use alpha conversion first to rename variables. When as many beta reductions as possible have been applied, the resulting expression is in normal form. CSE 341 -- S. Tanimoto Lambda Calculus ...
This article discusses the programming language LISP. The
... n, f (x1 ; x2 ; : : : ; xn ). Here, x1; : : : ; xn are called the formal arguments and when we actually wish to evaluate the function f we provide the `actual arguments' (like 3 and 4 for + above) and evaluate the function to get the resulting answer. These kind of functions are part of most program ...
... n, f (x1 ; x2 ; : : : ; xn ). Here, x1; : : : ; xn are called the formal arguments and when we actually wish to evaluate the function f we provide the `actual arguments' (like 3 and 4 for + above) and evaluate the function to get the resulting answer. These kind of functions are part of most program ...
Miranda * A Functional Language
... • Miranda is purely functional - there are no side effects or imperative features of any kind • A program, called a “script”, contains a collection of equations defining various functions and data structures • Changing the order of equations in the script does not change the result • No mandatory ty ...
... • Miranda is purely functional - there are no side effects or imperative features of any kind • A program, called a “script”, contains a collection of equations defining various functions and data structures • Changing the order of equations in the script does not change the result • No mandatory ty ...
Appendix B FUNCTIONAL PROGRAMMING WITH SCHEME
... laws of addition and multiplication and the distributive law for multiplication over addition. The functional programming paradigm provides an alternative notion of programming that avoids the problems of side effects. Functional languages are concerned with data objects and values instead of variab ...
... laws of addition and multiplication and the distributive law for multiplication over addition. The functional programming paradigm provides an alternative notion of programming that avoids the problems of side effects. Functional languages are concerned with data objects and values instead of variab ...
Functional_Programming
... the iterator, a terminationTest with final value, and a loop body that may consist of multiple expressions (do listOfTriples terminationTest body) Example: (do ((i 0 (+ i 1))) ((>= i 10) "done") (display i) (newline) ...
... the iterator, a terminationTest with final value, and a loop body that may consist of multiple expressions (do listOfTriples terminationTest body) Example: (do ((i 0 (+ i 1))) ((>= i 10) "done") (display i) (newline) ...
Register Allocation
... • An interpreter for Haskell, and the most widely used implementation of the language; • An interactive system, which is well-suited for teaching and prototyping purposes; • Hugs is freely available from: www.haskell.org/hugs ...
... • An interpreter for Haskell, and the most widely used implementation of the language; • An interactive system, which is well-suited for teaching and prototyping purposes; • Hugs is freely available from: www.haskell.org/hugs ...
λ Calculus - Computer Science at RPI
... Since applicative order avoids repetitive computations, it is the preferred method of evaluation in most programming languages, where short execution time is critical. Some functional programming languages, such as Haskell, use call-by-need evaluation, which will avoid performing unneeded computatio ...
... Since applicative order avoids repetitive computations, it is the preferred method of evaluation in most programming languages, where short execution time is critical. Some functional programming languages, such as Haskell, use call-by-need evaluation, which will avoid performing unneeded computatio ...
Functional
... called by higher level definitions, until the top level program is a single function call ...
... called by higher level definitions, until the top level program is a single function call ...