• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Functional Programming
Functional Programming

Lisp and Scheme I
Lisp and Scheme I

Downloadable PowerPoint file
Downloadable PowerPoint file

COND - Unicauca
COND - Unicauca

... • 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 ...
Functional Languages
Functional Languages

... completely independent of the surrounding expression • having once evaluated an expression in a given context, shouldn’t have to do it again. Alternative: referential transparency is the universal ability to substitute equals for equals (useful in common subexpression optimizations and mathematical ...
Functional Programming - TAMU Computer Science Faculty Pages
Functional Programming - TAMU Computer Science Faculty Pages

... “Haskell is a Lazy Pure Functional Language” Pure functional language, as with mathematical functions, prohibits side effects (or at least they are confined):  Immutable data: Instead of altering existing values, altered copies are created and the original is preserved, thus, there’s no destructive ...
Two classes of Boolean functions for dependency analysis
Two classes of Boolean functions for dependency analysis

... Boolean functions. The simplest way to do this is to evaluate the Boolean recurrences we created earlier, recording the calls rather than the results. Assume that we are interested in the call patterns that could possibly occur as a consequence of calling quicksort with a ground first argument. By a ...
On the Construction of Analytic Sequent Calculi for Sub
On the Construction of Analytic Sequent Calculi for Sub

functional form
functional form

Programming Language Semantics with Isabelle/HOL
Programming Language Semantics with Isabelle/HOL

The countdown problem - School of Computer Science
The countdown problem - School of Computer Science

Functional Programming
Functional Programming

... order functions • Functions are first-class values – Have the same status as variables in imperative languages – Have the same status as objects in object oriented languages ...
CA320 - Computability & Complexity
CA320 - Computability & Complexity

... Imperative In imperative programming you describe how to do something, usually as a series of sequential operations (that modify the state of the program) and conditional jumps (based on the state of the program). Imperative programming is all about state, and these state changes can be persistent a ...
funprog
funprog

overview on declarative programming
overview on declarative programming

... Hiding implementation details can be considered a handicap for programmers because access to low-level details provides a high degree of flexibility. However, a lot of flexibility implies a lot of potential for errors, and, more importantly, less potential for abstraction. For example, we can write ...
Chapter 1
Chapter 1

Document
Document

Document
Document

... • when a primitive operator whose operand is not a primitive value is encountered, the search proceeds down the ...
Functional Programming
Functional Programming

scheme1
scheme1

Chapter 15 Functional Programming Languages
Chapter 15 Functional Programming Languages

Chapter 15 Functional Programming Languages
Chapter 15 Functional Programming Languages

functional form
functional form

A general introduction to Functional Programming using Haskell
A general introduction to Functional Programming using Haskell

... A lambda expression is used to define an anonymous function It is made of: – a pattern for each argument of the function – a body, which defines how the result is computed from the values of the arguments – Examples: \x ­> x+x \(x,y) ­> x+y \(x:xs) ­> x^2 • then, if we evaluate the expression (\(x:x ...
Structure of Programming Languages – Lecture 6
Structure of Programming Languages – Lecture 6

... In Scheme, functions are first-class objects. That is, they can be used in the same ways and the same contexts as other objects such as numbers and lists. A higher-order function is one that takes a function as its parameter or returns a function as its result. Some of these are built into scheme, o ...
< 1 2 3 4 5 6 7 ... 18 >

Lambda calculus

Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. First formulated by Alonzo Church to formalize the concept of effective computability, lambda calculus found early successes in the area of computability theory, such as a negative answer to Hilbert's Entscheidungsproblem. Lambda calculus is a conceptually simple universal model of computation (Turing showed in 1937 that Turing machines equaled the lambda calculus in expressiveness). The name derives from the Greek letter lambda (λ) used to denote binding a variable in a function. The letter itself is arbitrary and has no special meaning. Lambda calculus is taught and used in computer science because of its usefulness in showcasing functional thinking and iterative reduction.Because of the importance of the notion of variable binding and substitution, there is not just one system of lambda calculus, and in particular there are typed and untyped variants. Historically, the most important system was the untyped lambda calculus, in which function application has no restrictions (so the notion of the domain of a function is not built into the system). In the Church–Turing Thesis, the untyped lambda calculus is claimed to be capable of computing all effectively calculable functions. The typed lambda calculus is a variety that restricts function application, so that functions can be applied only if they are capable of accepting the given input's ""type"" of data.Today, the lambda calculus has applications in many different areas in mathematics, philosophy, linguistics, and computer science. It is still used in the area of computability theory, although Turing machines are also an important model for computation. Lambda calculus has played an important role in the development of the theory of programming languages. Counterparts to lambda calculus in computer science are functional programming languages, which essentially implement the lambda calculus (augmented with some constants and datatypes). Beyond programming languages, the lambda calculus also has many applications in proof theory. A major example of this is the Curry–Howard correspondence, which gives a correspondence between different systems of typed lambda calculus and systems of formal logic.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report