Chapter 15
... • The design of the functional languages is based on mathematical functions – A solid theoretical basis that is also closer to the user, but relatively unconcerned with the architecture of the machines on which programs ...
... • The design of the functional languages is based on mathematical functions – A solid theoretical basis that is also closer to the user, but relatively unconcerned with the architecture of the machines on which programs ...
Lecture 2
... This is a common and useful operation. Haskell x = x+1 Assert that x and x+1 are the same value. This equation has no solution. It is a syntactically-valid statement, but it is not solvable. There is no solution for x. So this equation cannot be true! ...
... This is a common and useful operation. Haskell x = x+1 Assert that x and x+1 are the same value. This equation has no solution. It is a syntactically-valid statement, but it is not solvable. There is no solution for x. So this equation cannot be true! ...
The current topic: Scheme Announcements Review: car, cdr, and
... – Next up: Numeric operators, REPL, quotes, functions, conditionals ...
... – Next up: Numeric operators, REPL, quotes, functions, conditionals ...
Haskell
... function ( ) comes from lambda calculus. Lambda expressions are useful for defining and evaluating expressions inside of expressions and used to avoid the necessity of giving single use functions a name. The “\” symbol replaces the lambda symbol in the declaration of a lambda function. Lambda expres ...
... function ( ) comes from lambda calculus. Lambda expressions are useful for defining and evaluating expressions inside of expressions and used to avoid the necessity of giving single use functions a name. The “\” symbol replaces the lambda symbol in the declaration of a lambda function. Lambda expres ...
Functional Programming
... every statement is a function of its input. • Each function (statement) is then evaluated. • This means that a program as a whole is a nested set of function evaluations… and the whole program is a function of its inputs .. which includes functions ! ...
... every statement is a function of its input. • Each function (statement) is then evaluated. • This means that a program as a whole is a nested set of function evaluations… and the whole program is a function of its inputs .. which includes functions ! ...
Short Introduction to the Lambda
... iteration In functional programming these concepts are absent (or, in case they are present, have a different meaning). Instead, in it we find: expression recursion - different from the notion of iteration evaluation - different from the notion of execution: when we evaluate a mathematical expressio ...
... iteration In functional programming these concepts are absent (or, in case they are present, have a different meaning). Instead, in it we find: expression recursion - different from the notion of iteration evaluation - different from the notion of execution: when we evaluate a mathematical expressio ...
02157 Functional Programming - A brief introduction to Lambda
... • Abstraction extends as far as possible to the right, ...
... • Abstraction extends as far as possible to the right, ...
CS-Intro-AI-LISP - Geometric and Intelligent Computing Laboratory
... Under the hood… • Lisp doesn't need type declaration because everything is a pointer (i.e., the values of symbols have types associated w/ them; atoms, lists, integers, etc.) ...
... Under the hood… • Lisp doesn't need type declaration because everything is a pointer (i.e., the values of symbols have types associated w/ them; atoms, lists, integers, etc.) ...
Structure of Programming Languages – Lecture 6
... In an simple world, each object might have one name, and each name one object. Programming languages are far from simple. (Examples are given in the context of C.) An object can have NO name (the result of a call on malloc). An object can have one name: a local integer variable. An object can have t ...
... In an simple world, each object might have one name, and each name one object. Programming languages are far from simple. (Examples are given in the context of C.) An object can have NO name (the result of a call on malloc). An object can have one name: a local integer variable. An object can have t ...
Functional Programming
... What is Functional Programming? Opinions differ, and it is difficult to give a precise definition, but generally speaking: Functional programming is style of programming in which the basic method of computation is the application of functions to arguments; ...
... What is Functional Programming? Opinions differ, and it is difficult to give a precise definition, but generally speaking: Functional programming is style of programming in which the basic method of computation is the application of functions to arguments; ...
Drexel-CS-Intro-AI-LISP
... Under the hood… • Lisp doesn't need type declaration because everything is a pointer (i.e., the values of symbols have types associated w/ them; atoms, lists, integers, etc.) ...
... Under the hood… • Lisp doesn't need type declaration because everything is a pointer (i.e., the values of symbols have types associated w/ them; atoms, lists, integers, etc.) ...
Modeling Data With Functional Programming In R
... Structuring computer programs often begins by dividing programs into data structures and functions 1 that operate on the data. In an object-oriented programming (OOP) paradigm, data structures (objects) have associated methods that automatically passes the object as an operand to the function. In ma ...
... Structuring computer programs often begins by dividing programs into data structures and functions 1 that operate on the data. In an object-oriented programming (OOP) paradigm, data structures (objects) have associated methods that automatically passes the object as an operand to the function. In ma ...
The countdown problem - School of Computer Science
... but many of these expressions will typically be invalid (fail to evaluate), because non-zero naturals are not closed under subtraction and division. For example, there are 33,665,406 possible expressions over the source numbers [1, 3, 7, 10, 25, 50], but only 4,672,540 of these expressions are valid ...
... but many of these expressions will typically be invalid (fail to evaluate), because non-zero naturals are not closed under subtraction and division. For example, there are 33,665,406 possible expressions over the source numbers [1, 3, 7, 10, 25, 50], but only 4,672,540 of these expressions are valid ...
Beginning with the Haskell Programming Language About the Tutorial
... the side effects in imperative programs are probably the sort of variable reassignment mentioned in the last panel (whether global variables, or local, or dictionaries, lists, or other storage structures), but every I/O event is also a sort of side-effect. I/O changes the world rather than being par ...
... the side effects in imperative programs are probably the sort of variable reassignment mentioned in the last panel (whether global variables, or local, or dictionaries, lists, or other storage structures), but every I/O event is also a sort of side-effect. I/O changes the world rather than being par ...
Modeling, Specification Languages, Array Programs
... 1. Propose a suitable postcondition specifying that if v occurs in array a, between indexes 0 and n − 1, then the result is an index of such an occurrence, otherwise −1 is returned. 2. Implement and prove an algorithm of linear search, that follows the pseudo-code: for each i from 0 to n − 1: if a[i ...
... 1. Propose a suitable postcondition specifying that if v occurs in array a, between indexes 0 and n − 1, then the result is an index of such an occurrence, otherwise −1 is returned. 2. Implement and prove an algorithm of linear search, that follows the pseudo-code: for each i from 0 to n − 1: if a[i ...
Abstract machine for a comonadic dataflow language
... In Chapter 2 we give an overview of comonadic dataflow languages. We start by presenting a short introduction to programming in a dataflow language Lucid Synchrone to provide some context. Next, we will introduce the notion of comonads, and present a comonadic evaluator for a higher-order non-strict ...
... In Chapter 2 we give an overview of comonadic dataflow languages. We start by presenting a short introduction to programming in a dataflow language Lucid Synchrone to provide some context. Next, we will introduce the notion of comonads, and present a comonadic evaluator for a higher-order non-strict ...
Python for Joe Cross
... for _ in xrange(n): velocities = [rndV() for i in xrange(6)] r,g,b = [rndC() for i in xrange(3)] mainParticle = velocities[:3] + [r,g,b] secondParticle = velocities[3:] + [r,g,b] ...
... for _ in xrange(n): velocities = [rndV() for i in xrange(6)] r,g,b = [rndC() for i in xrange(3)] mainParticle = velocities[:3] + [r,g,b] secondParticle = velocities[3:] + [r,g,b] ...
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 ...
D16/B330/3C11 Functional Programming Lecture 5
... Offside rule / where blocks / evaluation Partial / polymorphic functions Patterns and pattern-matching Recursive functions Lists Functions using lists Recursive functions using lists ...
... Offside rule / where blocks / evaluation Partial / polymorphic functions Patterns and pattern-matching Recursive functions Lists Functions using lists Recursive functions using lists ...
Methods and Patterns for User-friendly Quantum Programming
... Works like [12] have tried to formulate some basic requirements one would expect a QPL to fulfil. These vary accordingly to the underlying paradigm, with frequent requirements amongst others being: completeness, extensibility, abstracting away and being independent from the underlying machinery, and ...
... Works like [12] have tried to formulate some basic requirements one would expect a QPL to fulfil. These vary accordingly to the underlying paradigm, with frequent requirements amongst others being: completeness, extensibility, abstracting away and being independent from the underlying machinery, and ...
λ-definition of Function(al)s by Normal Forms
... Historically, solutions of systems of recursive equations are based on the use of fixed point combinators (or similar tools [21, 31]) and yield combinators which make the mentioned infinite character explicit. Such solutions encode all possible unfoldings of functions. Any single datum establishes h ...
... Historically, solutions of systems of recursive equations are based on the use of fixed point combinators (or similar tools [21, 31]) and yield combinators which make the mentioned infinite character explicit. Such solutions encode all possible unfoldings of functions. Any single datum establishes h ...
A Typed Lambda Calculus with Categorical Type Constructors 1
... where 1 is the type of one element and + is the coproduct type constructor. This is like in domain theory where the domain N of natural numbers is the least fixed point of N ∼ = 1 + N . Similarly we can define most of ordinary datatypes in today’s programming languages in this way. However, there are ...
... where 1 is the type of one element and + is the coproduct type constructor. This is like in domain theory where the domain N of natural numbers is the least fixed point of N ∼ = 1 + N . Similarly we can define most of ordinary datatypes in today’s programming languages in this way. However, there are ...
Functional Programming Paradigm Learning Outcomes:
... • The design of the functional languages is based on mathematical functions – A solid theoretical basis that is also closer to the user, but relatively unconcerned with the architecture of the machines on which programs ...
... • The design of the functional languages is based on mathematical functions – A solid theoretical basis that is also closer to the user, but relatively unconcerned with the architecture of the machines on which programs ...
Functionalprogramming
... • the top level loop (“ear”) evaluates an expression for its value or for its side-effects such as I/O (this expression may invoke a function that implements a large and complex algorithm), • a Lisp program is a collection of functions that may be called (directly or indirectly) from the top level ...
... • the top level loop (“ear”) evaluates an expression for its value or for its side-effects such as I/O (this expression may invoke a function that implements a large and complex algorithm), • a Lisp program is a collection of functions that may be called (directly or indirectly) from the top level ...
Introduction to Functional Programming (1)
... 1960s Peter Landin develops ISWIM, the first pure functional language, based strongly on the lambda calculus, with no assignments. 1970s John Backus develops FP, a functional language that emphasizes higher-order functions and reasoning about programs. 1970s Robin Milner and others develop ML, the f ...
... 1960s Peter Landin develops ISWIM, the first pure functional language, based strongly on the lambda calculus, with no assignments. 1970s John Backus develops FP, a functional language that emphasizes higher-order functions and reasoning about programs. 1970s Robin Milner and others develop ML, the f ...