Deductive lambda calculus considers what happens when lambda terms are regarded as mathematical expressions. One interpretation of the untyped lambda calculus is as a programming language where evaluation proceeds by performing reductions on an expression until it is in normal form. In this interpretation, if the expression never reduces to normal form then the program never terminates, and the value is undefined. Considered as a mathematical deductive system, each reduction would not alter the value of the expression. The expression would equal the reduction of the expression. (Wikipedia).
http://www.teachastronomy.com/ Deduction is a way of combining observations or statements made in science logically. Deduction provides a very strong way of connecting observations with a conclusion. Typically we start with premises and combine them to draw conclusions. For example, if
From playlist 01. Fundamentals of Science and Astronomy
Foundations - Seminar 6 - Discharging hypotheses and Curry-Howard
Daniel Murfet discusses the introduction and elimination rule for implication in natural deduction, the way in which undischarged hypotheses are managed, the "identity" of natural deductions (which deductions count as "the same") and how all of this feeds into the Curry-Howard (CH) corresp
From playlist Foundations seminar
!!Con 2022 - La-La-Lambda Calculus: A Functional Musical Journey! by Anjana Vakil
La-La-Lambda Calculus: A Functional Musical Journey! The lambda calculus is a logical formalism that lets us represent programs - all their logic and data - as nothing but pure, anonymous, single-parameter functions. Numbers, operators, booleans, control flow, data structures… any way you
From playlist !!Con 2022
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
Calculus - Find the limit of a function using epsilon and delta
This video shows how to use epsilon and delta to prove that the limit of a function is a certain value. This particular video uses a linear function to highlight the process and make it easier to understand. Later videos take care of more complicated functions and using epsilon and delta
From playlist Calculus
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
Billy Price and Will Troiani present a series of seminars on foundations of mathematics. In this seminar Billy introduces natural deduction as a proof system. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video was filmed in Deprecation (https:/
From playlist Foundations seminar
Equations of line segments and rays
How to obtain a parametric vector form of line segments and rays. Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link)
From playlist Introduction to Vectors
Lambda in Python - Advanced Python 08 - Programming Tutorial - Map Filter Reduce
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From playlist Advanced Python - Complete Course
The Ultimate Guide to Propositional Logic for Discrete Mathematics
This is the ultimate guide to propositional logic in discrete mathematics. We cover propositions, truth tables, connectives, syntax, semantics, logical equivalence, translating english to logic, and even logic inferences and logical deductions. 00:00 Propositions 02:47 Connectives 05:13 W
From playlist Discrete Math 1
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
Computer Science and Homotopy Theory - Vladimir Voevodsky
Vladimir Voevodsky Professor, School of Mathematics April 27, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Live CEOing Ep 410: Language Design in Wolfram Language [Combinators]
In this episode of Live CEOing, Stephen Wolfram reviews the design of some upcoming functionality for the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen W
From playlist Behind the Scenes in Real-Life Software Design
Introduction to Lambda Calculus and Types - Semantics in Linguistics
We introduce lambda calculus but mainly focus on type theory in relation to syntactic trees. We introduce the type e (entities) and type t (truth values) and how they can be combined to account for V, VP, and S. #semantics #linguistics Join this channel to get access to perks: https://www
From playlist Semantics in Linguistics
Christian Szegedy - Deep Learning for Formal Reasoning
Here I will discuss the frontier of research for formal reasoning via deep neural networks. I will highlight the most recent progress in the area, especially automated theorem proving and automated formalization of natural language text. Also, I will discuss the role of language models, co
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
The matrix approach to systems of linear equations | Linear Algebra MATH1141 | N J Wildberger
We summarize the matrix approach to solving systems of linear equations involving augmented matrices and row reduction. We also study the consequences of linearity of themultiplication of a matrix and vector. ************************ Screenshot PDFs for my videos are available at the webs
From playlist Higher Linear Algebra
Stepan Kuznetsov: Relational models for the Lambek calculus with intersection and unit
HYBRID EVENT Recorded during the meeting "19th International Conference on Relational and Algebraic Methods in Computer Science" the November 5, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other t
From playlist Logic and Foundations
Calculus: Antiderivatives, Part 2
This is the second of three videos discussing Briggs/Cochran Calculus Section 4.9: Antiderivatives. In this video, I give a brief introduction to differential equations, including initial value problems.
From playlist Calculus
Squashing theories into Heyting algebras
This is the first of two videos on Heyting algebra, Tarski-Lindenbaum and negation: https://gist.github.com/Nikolaj-K/1478e66ccc9b7ac2ea565e743c904555 Followup video: https://youtu.be/ws6vCT7ExTY
From playlist Logic