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C311 First Class Objects
C311 First Class Objects

... Second class: cannot be assigned to a variable or returned by functions. Example: Classes in Smalltalk. Third class: cannot be passed as function parameters. Example: data types in C++. First Class Objects Expressible as an anonymous literal value Storable in variables Storable in data structures Ha ...
Presentation
Presentation

Testing an Optimising Compiler by Generating Random Lambda
Testing an Optimising Compiler by Generating Random Lambda

... In this paper, we study the problem of generating random, type-correct programs. We chose a simple, yet rich, statically typed programming language, namely the simplytyped lambda calculus [13]. The lambda calculus (λ-calculus) is very simple — it basically only contains anonymous functions, a featur ...
implementation of the viterbi algorithm using functional
implementation of the viterbi algorithm using functional

... EDIF (Electronic Design Interchange Format) code. Unlike traditional hardware description languages such as VHDL, Lava has the ability to describe circuit layout as well as behavior. Lava uses Haskell abstractions to provide abstractions in the circuit description. For example, it is difficult to un ...
overview on declarative programming
overview on declarative programming

... length, e.g., [ Int ], String, [ [ Bool ] ] to name a few. Type polymorphism allows us to use type variables that represent arbitrary types, which helps to make defined functions more generally applicable. This is especially useful in combination with another feature of functional programming langua ...
Tuples and Lists(3)
Tuples and Lists(3)

pptx
pptx

Functional Programming
Functional Programming

Part 1
Part 1

... (defun fact (n) (cond ((lessp n 2) 1)(T (times n (fact (sub1 n)))))) ...
Type Class
Type Class

... Why Teach/Learn FP and Haskell? • Introduces new problem solving techniques • Improves ability to build and use higher-level procedural and data abstractions • Helps instill a desire for elegance in design and implementation • Increases comfort and skill in use of recursive programs and data struct ...
PPT
PPT

... • In that case, some examples may be wrongly typed. inc 3.2 inc 3 CS5205 ...
Lambda Calculus and Functional Programming
Lambda Calculus and Functional Programming

... themselves, allowing an operation to be performed over and over. Recursion may require maintaining a stack, but tail recursion can be recognized and optimized by a compiler into the same code used to implement iteration in imperative languages. The Scheme programming language standard requires imple ...
ppt
ppt

Lecture 12
Lecture 12

... Note: although [x] matches the second equation, we will always apply the first equation. Examples fold (||) [False, True, False] => True fold (++) [“Hello “, “world”, “!”] => “Hello world!” fold (*) [1..5] => 120 n.b infix op. Becomes prefix in ‘(‘ ‘)’ ...
Introduction, Scheme basics (expressions, values)
Introduction, Scheme basics (expressions, values)

... • Defines a composite type out of other types • The type constructor for functions is denoted “->” • Example: [Number X Number –> Number] is the type of all procedures that get as input two numbers, and return a number • If all types are allowed we use a type variable: – [T –> T] is the type of all ...
ppt
ppt

Parametric Polymorphism and Abstract Models of Storage
Parametric Polymorphism and Abstract Models of Storage

Introduction to F - Microsoft Research
Introduction to F - Microsoft Research

History of Lisp
History of Lisp

... • Developed a true conditional that evaluated only one of its parameters. ...
Lecture10 - CIS @ UPenn
Lecture10 - CIS @ UPenn

... Functional programming • Functions taking other functions as an argument are ...
PLD VII Haddad
PLD VII Haddad

Function
Function

... • A function f from domain A to co-domain B, denoted f : A -> B, is a map that associates with every element a in A, a unique element b in B, denoted f(a). – Cf. Relation, multi-valued function, partial function, … – In mathematics, the term “function” usually refers to a total function; in computer ...
PowerPoint-presentatie
PowerPoint-presentatie

15. Functional Programming Languages.
15. Functional Programming Languages.

... for implementing abstract data types - Includes lists and list operations - The val statement binds a name to a value (similar to DEFINE in Scheme) - Function declaration form: fun function_name (formal_parameters) = function_body_expression; e.g., fun cube (x : int) = x * x * x; - Functions that us ...
Chapter 14 Functional Programming Languages
Chapter 14 Functional Programming Languages

... for implementing abstract data types - Includes lists and list operations - The val statement binds a name to a value (similar to DEFINE in Scheme) - Function declaration form: fun function_name (formal_parameters) = function_body_expression; e.g., ...
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Standard ML

Standard ML (SML) is a general-purpose, modular, functional programming language with compile-time type checking and type inference. It is popular among compiler writers and programming language researchers, as well as in the development of theorem provers.SML is a modern descendant of the ML programming language used in the Logic for Computable Functions (LCF) theorem-proving project. It is distinctive among widely used languages in that it has a formal specification, given as typing rules and operational semantics in The Definition of Standard ML (1990, revised and simplified as The Definition of Standard ML (Revised) in 1997).
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