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D16/B330/3C11 Functional Programming Lecture 5
D16/B330/3C11 Functional Programming Lecture 5

... But lists are special - they are RECURSIVE Data can be recursive, just like functions! ...
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... Developed at Utrecht University (Netherlands) Focuses on making learning Haskell easier Uses very clear and concise error messages. However, in order to make debugging easier, it has actually disabled many features of the language. ...
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... Iterative control structures use a looping structure to repeat a set of statements. ...
SECTION 10.3 LECTURE NOTES
SECTION 10.3 LECTURE NOTES

... 8 a and and g by hand. Use a graphing calculator to verify your graphs2in Problems 1 and 2. 3. Know the base multiplier property, the increasing or decreasing property, and the✓reflection property. ◆x Use a graphing calculator to verify your graphs in Problems 1 and 2. ...
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... • The basic process of computation is fundamentally different in a FPL than in an imperative language – In an imperative language, operations are done and the results are stored in variables for later use – Management of variables is a constant concern and source of complexity for imperative program ...
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Chapter 1

pl9ch15 - Systems and Computer Engineering
pl9ch15 - Systems and Computer Engineering

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The current topic: Scheme Announcements Review: car, cdr, and
The current topic: Scheme Announcements Review: car, cdr, and

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Chapter 15 Slides - SRU Computer Science

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Variance and Standard Deviation - Penn Math

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Lecture - 12: The RPAL Functional Language

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Constructive logic and type theory (lecture notes 2009)

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Lecture 07 - University of Florida

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CITS3211 FUNCTIONAL PROGRAMMING 5. Higherorder functions

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Chapter 16 Logic Programming Languages Chapter 16 Topics

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x + 1 - Postech

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Lesson 1.1.3

< 1 2 3 4 5 6 7 8 ... 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.
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