Theory of computation | Logic in computer science | Lambda calculus | Type theory
A typed lambda calculus is a typed formalism that uses the lambda-symbol to denote anonymous function abstraction. In this context, types are usually objects of a syntactic nature that are assigned to lambda terms; the exact nature of a type depends on the calculus considered (see kinds below). From a certain point of view, typed lambda calculi can be seen as refinements of the untyped lambda calculus, but from another point of view, they can also be considered the more fundamental theory and untyped lambda calculus a special case with only one type. Typed lambda calculi are foundational programming languages and are the base of typed functional programming languages such as ML and Haskell and, more indirectly, typed imperative programming languages. Typed lambda calculi play an important role in the design of type systems for programming languages; here, typability usually captures desirable properties of the program (e.g., the program will not cause a memory access violation). Typed lambda calculi are closely related to mathematical logic and proof theory via the Curry–Howard isomorphism and they can be considered as the internal language of classes of categories; e.g., the simply typed lambda calculus is the language of Cartesian closed categories (CCCs). (Wikipedia).
LambdaConf 2015 - Introduction to Typed Racket Mark Farrell
This workshop will give an introduction to Typed Racket. We will give an overview of the features of its type system, go over some examples of typing old untyped Racket code and provide some accompanying typing exercises for people to try. We will also discuss some current issues trusting
From playlist LambdaConf 2015
Python Programming Tutorial - 40 - Lamdba
Source Code: https://github.com/thenewboston-developers Core Deployment Guide (AWS): https://docs.google.com/document/d/16NDHWtmwmsnrACytRXp2T9Jg7R5FgzRmkYoDteFKxyc/edit?usp=sharing
From playlist Python 3.4 Programming Tutorials
Lambda Expressions in Java | Java Lambda Tutorial | Java Certification Training | Edureka
**** Java Certification Training: https://www.edureka.co/java-j2ee-training-course **** This Edureka tutorial on “Lambda Expressions in Java” will introduce you to a new Java feature called Lambda Expressions. It will also talk about the functional interface in Java. Through this tutorial
From playlist Java Tutorial For Beginners | Edureka
C++ Tutorial 9 : Lambda Expressions
Code & Transcript : http://bit.ly/cplusplus9 Best C++ Book : https://amzn.to/2GPb7do https://www.patreon.com/derekbanas This part of my C++ tutorial provides numerous examples of what you can do with Lambda Expressions. We'll cover how to Sort, Filter, Sum, Edit and Generate Lists based o
From playlist C++ Tutorial
Python Lambda Function | Anonymous Function In Python | Python Tutorial | Edureka
** Python Certification Training: https://www.edureka.co/data-science-python-certification-course ** This Edureka live video on 'Python Lambda' is to educate you about the Lambda functions of Python and help you understand how to use them in various scenarios. Below are the topics cover
From playlist Python Programming Tutorials | Edureka
LAMBDA Functions: Powerful And Elegant Abstractions
Python’s lambda, a tiny anonymous function, can be useful in a pinch when you’re feeling too lazy to type that extra d-e-f. But did you know that behind this little lambda is actually one of the most powerful & elegant abstractions in the history of computer science? The lambda calculus,
From playlist Functional Programming
What is Lambda Calculus and why?
I was going to make it nicer but I ran out of patience. And time. But mostly patience. But hey, production quality is not important, right? Pencil Code demo: http://yanamal.pencilcode.net/edit/functions Lambda Calculus visualizer repository (warning: the text is currently wrong and the
From playlist Summer of Math Exposition Youtube Videos
Noam Zeilberger - Untyped Linear Lambda Calculus and the Combinatorics of 3-valent Graphs
The lambda calculus was invented by Church in the late 1920s, as part of an ambitious project to build a foundation for mathematics around the concept of function. Although his original system turned out to be logically inconsistent, Church was able to extract from it two separate usable s
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Lecture 2: The Curry-Howard correspondence
This talk gives an elementary introduction to some central ideas in the theory of computation, including lambda calculus and its relation to category theory. The aim was to get to the statement of the Curry-Howard correspondence, but we ran out of time; at some point there will be another
From playlist Topos theory seminar
Shadows of Computation - Lecture 5 - What is Computation?
Welcome to Shadows of Computation, an online course taught by Will Troiani and Billy Snikkers, covering the foundations of category theory and how it is used by computer scientists to abstract computing systems to reveal their intrinsic mathematical properties. In the fifth lecture Will sp
From playlist Shadows of Computation
Lambda in Python - Advanced Python 08 - Programming Tutorial - Map Filter Reduce
Lambda in Python - Advanced Python 08 - Programming Tutorial - Map Filter Reduce In this Python Advanced Tutorial, we will be learning about Lambda functions in Python. A lambda function is a small (one line) anonymous function that is defined without a name. It is typically used when you
From playlist Advanced Python - Complete Course
Stanford Seminar - Propositions as Types
"Propositions as Types" - Philip Wadler of University of Edinburgh About the talk: The principle of Propositions as Types links logic to computation. At first sight it appears to be a simple coincidence---almost a pun---but it turns out to be remarkably robust, inspiring the design of the
From playlist Engineering
Proof synthesis and differential linear logic
Linear logic is a refinement of intuitionistic logic which, viewed as a functional programming language in the sense of the Curry-Howard correspondence, has an explicit mechanism for copying and discarding information. It turns out that, due to these mechanisms, linear logic is naturally r
From playlist Talks
Shadows of Computation - Theorems for Free (Discussion)
Welcome to Shadows of Computation, an online course taught by Will Troiani and Billy Snikkers, covering the foundations of category theory and how it is used by computer scientists to abstract computing systems to reveal their intrinsic mathematical properties. In this video, Billy and Wil
From playlist Shadows of Computation
Syntax and Semantics - Benedikt Ahrens
Benedikt Ahrens Universite Nice Sophia Antipolis; Member, School of Mathematics September 25, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Lambda Calculus - Computerphile
The basis of almost all functional programming, Professor Graham Hutton explains Lambda Calculus. http://www.facebook.com/computerphile https://twitter.com/computer_phile This video was filmed and edited by Sean Riley. Computer Science at the University of Nottingham: http://bit.ly/nott
From playlist Subtitled Films
Ruby Conf 12 - Y Not- Adventures in Functional Programming by Jim Weirich
One of the deepest mysteries in the functional programming world is the Y-Combinator. Many have heard of it, but few have mastered its mysteries. Although fairly useless in real world software, understanding how the Y-Combinator works and why it is important gives the student an important
From playlist Ruby Conference 2012
Anonymous Functions - What's in a name? - Socratica #Shorts
Find our programming playlists here: Python: http://bit.ly/PythonSocratica SQL: http://bit.ly/SQL_Socratica Python instructor: Ulka Simone Mohanty (@ulkam on Twitter) Written & Produced by Michael Harrison #Python #Coding #Shorts
From playlist Python Programming Tutorials (Computer Science)