'Tail recursion' diaporamas de présentation

Functional Programming with Scheme

Functional Programming with Scheme. Introduction to Functional Programming Concepts and the Scheme language. Introduction. In Theory of Computing , a program is viewed as a function. A program maps each input to some output: P: Input ? Output

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Programming Languages and Compilers (CS 421)

Programming Languages and Compilers (CS 421). Elsa L Gunter 2112 SC, UIUC http://courses.engr.illinois.edu/cs421. Based in part on slides by Mattox Beckman, as updated by Vikram Adve and Gul Agha. Mapping Functions Over Lists. # let rec map f list = match list with [] -> []

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Space-Efficient Gradual Typing

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Programming Languages and Compilers (CS 421)

Programming Languages and Compilers (CS 421). William Mansky http://courses.engr.illinois.edu/cs421/su2013/. Based in part on slides by Mattox Beckman, as updated by Vikram Adve, Gul Agha, and Elsa Gunter. Lambda Lifting.

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Chapter 7 Recursion

Chapter 7 Recursion. 7.1 Recursive Definitions. When defining infinite sets, giving a complete list of elements is impossible, and for large finite sets, it is inefficient. ---->Therefore, a recursive definition is used. Example: the set of natural numbers, N 1. 0 ? N ;

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Chapter 3

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Programming Languages and Compilers (CS 421)

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Linked Lists

Linked Lists. Chapter 4. Linked List : Definition. Linked List: A collection of data items of the same type that are stored in separate objects referred to as "nodes".

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Introduction to Recursion

Introduction to Recursion. CSCI 3333 Data Structures. by Dr. Bun Yue Professor of Computer Science yue@uhcl.edu http://sce.uhcl.edu/yue/ 2013. Acknowledgement. Mr. Charles Moen Dr. Wei Ding Ms. Krishani Abeysekera Dr. Michael Goodrich. Recursion.

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Programming Languages and Compilers (CS 421)

Programming Languages and Compilers (CS 421). Dennis Griffith 0207 SC, UIUC http://www.cs.uiuc.edu/class/cs421/. Based in part on slides by Mattox Beckman, as updated by Vikram Adve, Gul Agha, and Elsa Gunter. Continuations.

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Good morning!

Good morning!. Recursive Algorithms. Example: Gift box!. Example: Gift box!. Example: Gift box!. Value of gift box : Equation?. Example: Treasure hunt!. What is recursion?. Popular in math definitions Inductive proof. Example: factorial(n). Example: factorial(n).

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ICS 313: Programming Language Theory

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Programming Languages and Compilers (CS 421)

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Programming Languages and Compilers (CS 421)

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Feb 7, 2015

Clojure 2. Feb 7, 2015. Functions. The syntax to define a named function is: (defn function_name [ arguments ] expressions ) The value of the function is the value of the last expression evaluated The syntax of a function call is ( function arguments )

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Trees 3 The Binary Search Tree Section 4.3

Trees 3 The Binary Search Tree Section 4.3. Binary Search Tree. Also known as Totally Ordered Tree Definition: A binary tree B is called a binary search tree iff: There is an order relation ? defined for the vertices of B

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COSO 1030 Section 4

COSO 1030 Section 4. Recursion. What is about. Towers of Hanoi Divide and Conquer Strategy Recursion and Induction Thinking Recursively Recursion Pitfalls Analyze Efficiency of Recursion Tail Recursion Elimination. Towers of Hanoi.

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ML: a quasi-functional language with strong typing

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Creating Functional Programs

Creating Functional Programs. Brad Vander Zanden. Basic Techniques. Tail Recursion Use continuation arguments if necessary Akin to pre-processing a list Inductive Construction Akin to post-processing a list. Factorial. Inductive Construction (define fact (lambda (n) ( cond

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