Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the...

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Introduction to the Lambda Calculus 1 1 This document consists entirely of screenshots from the Wikipedia article on the lambda calculus.

Transcript of Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the...

Page 1: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,

Introduction to the Lambda Calculus1

1 This document consists entirely of screenshots from the Wikipedia article on the lambda calculus.

Page 2: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,

Note that 𝜆𝑥.𝑡 is exactly equivalent to the Haskell syntax \x -> t .

Page 3: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,
Page 4: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,
Page 5: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,
Page 6: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,
Page 7: Introduction to the Lambda Calculus · Lambda expressions are composed of: variables VI, v2' the abstraction symbols lambda 'R' and dot parentheses ( ) The set of lambda expressions,

Lambda expressions, functions and binding · 2014-10-14 · Lambda expressions explain binding A variable binding can be rewritten using a lambda expression and an application: (N

Lambda expressions, functions and binding · 2014-10-14 · Lambda expressions explain binding A variable binding can be rewritten using a lambda expression and an application: (N

Lambda expressions, functions and binding · 2012-10-23 · Informatics 1 Functional Programming Lecture 8 Tuesday 23 October 2012 Lambda expressions, functions and binding Don Sannella

Lambda expressions, functions and binding · 2012-10-23 · Informatics 1 Functional Programming Lecture 8 Tuesday 23 October 2012 Lambda expressions, functions and binding Don Sannella

EFFECTIVE USE OF LAMBDA EXPRESSIONS IN THE NEW C++11 ...

EFFECTIVE USE OF LAMBDA EXPRESSIONS IN THE NEW C++11 ...

Lambda Expressions and Java 8 - Lambda Calculus, Lambda Expressions, Syntactic sugar, First Class Functions - Second Expedia Tech 'Know How' Talk - Nov 2015

Lambda Expressions and Java 8 - Lambda Calculus, Lambda Expressions, Syntactic sugar, First Class Functions - Second Expedia Tech 'Know How' Talk - Nov 2015

DevNation'15 - Using Lambda Expressions to Query a Datastore

DevNation'15 - Using Lambda Expressions to Query a Datastore

Understanding Java 8 Lambdas and Streams - Part 1 - Lambda Calculus, Lambda Expressions, Syntactic Sugar, First Class Functions

Understanding Java 8 Lambdas and Streams - Part 1 - Lambda Calculus, Lambda Expressions, Syntactic Sugar, First Class Functions

Lambda Expressions - Jfokus · Lambda Expressions in Java (17) evaluation • lambda expression – easy and convenient way to implement ad-hoc functionality • functional interfaces

Lambda Expressions - Jfokus · Lambda Expressions in Java (17) evaluation • lambda expression – easy and convenient way to implement ad-hoc functionality • functional interfaces

Understanding the Use of Lambda Expressions in Javadig.cs.illinois.edu/papers/Mazinanian_OOPSLA_2017.pdf · Java 8 retro!tted lambda expressions, a core feature of functional programming,

Understanding the Use of Lambda Expressions in Javadig.cs.illinois.edu/papers/Mazinanian_OOPSLA_2017.pdf · Java 8 retro!tted lambda expressions, a core feature of functional programming,

The Dark Side Of Lambda Expressions in Java 8

The Dark Side Of Lambda Expressions in Java 8

Programming with Lambda Expressions in Java

Programming with Lambda Expressions in Java

Java8 Released: March 18, 2014. Lambda Expressions.

Java8 Released: March 18, 2014. Lambda Expressions.

Lambda Expressions in Java - Angelika Langer

Lambda Expressions in Java - Angelika Langer

Lambda Expressions in Java

Lambda Expressions in Java

Lambda Expressions and Streams in the Expression Language · Architecture and Design of Global Applications, IV1201 47(33) EL, Lambda Expressions • A lambda expression is an anonymous

Lambda Expressions and Streams in the Expression Language · Architecture and Design of Global Applications, IV1201 47(33) EL, Lambda Expressions • A lambda expression is an anonymous

JDT Embraces Lambda Expressions - EclipseCon North America 2014

JDT Embraces Lambda Expressions - EclipseCon North America 2014

Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.

Objectives 1.3 To understand and apply the distributive property To remove parentheses by multiplying To insert parentheses by factoring expressions To.

Shrinking Lambda Expressions in Linear Time · 2014-09-30 · Shrinking Lambda Expressions in Linear Time Andrew W. Appel Princeton University Trevor Jim University of Pennsylvania

Shrinking Lambda Expressions in Linear Time · 2014-09-30 · Shrinking Lambda Expressions in Linear Time Andrew W. Appel Princeton University Trevor Jim University of Pennsylvania

Lambda Expressions in C++

Lambda Expressions in C++

Trying Out Lambda Expressions in the Eclipse IDE

Trying Out Lambda Expressions in the Eclipse IDE

LAMBDA EXPRESSIONS IN JAVA - Oracle Technology Network

LAMBDA EXPRESSIONS IN JAVA - Oracle Technology Network