Lambda calculus | Type theory

Calculus of constructions

In mathematical logic and computer science, the calculus of constructions (CoC) is a type theory created by Thierry Coquand. It can serve as both a typed programming language and as constructive foundation for mathematics. For this second reason, the CoC and its variants have been the basis for Coq and other proof assistants. Some of its variants include the calculus of inductive constructions (which adds inductive types), the calculus of (co)inductive constructions (which adds coinduction), and the predicative calculus of inductive constructions (which removes some impredicativity). (Wikipedia).

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Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions

Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions

From playlist Calculus 1 (Full Length Videos)

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Calculus: Graphical Limits

In this video, we investigate how to compute limits of a function that is given graphically.

From playlist Calculus

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Infinite Limits With Equal Exponents (Calculus)

#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts

From playlist Calculus

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Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane

Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane

From playlist Calculus 1 (Full Length Videos)

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Calculus 1 Lecture 5.4 Part 6

Calculus 1 Lecture 5.4 Part 6: Finding the Length of a Curve and The Surface Area of a Solid of Revolution.

From playlist Calculus 1 Playlist 2

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Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms

Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms

From playlist Calculus 2 (Full Length Videos)

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Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

From playlist Calculus 2 (Full Length Videos)

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Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions

Calculus 1 Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions.

From playlist Calculus 1 (Full Length Videos)

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Calculus 1 Lecture 5.1: Finding Area Between Two Curves

Calculus 1 Lecture 5.1: Finding Area Between Two Curves

From playlist Calculus 1 (Full Length Videos)

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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

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Wolfram Physics Project: Future Questions for our Physics Project Tuesday, Apr. 13, 2021

Begins at 5:22 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https://wolfr.am/physics

From playlist Wolfram Physics Project Livestream Archive

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FEM@LLNL | Unifying the Analysis of Geometric Decomposition in FEEC

Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On March 22, 2022, Tobin Isaac of Georgia Tech presented "Unifying the Analysis of Geometric Decomposition in FEEC." Two operations take

From playlist FEM@LLNL Seminar Series

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All the Axioms of Mathematics

This video lists an explains propositional, predicate calculus axioms, as well as a set theoretical statement that goes with it, including ZF and beyond. Where possible, the explanations are kept constructive. You can find the list of axioms in the file discussed in this video here: https:

From playlist Logic

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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

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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

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Lecture 2: VOA[M4] (Lecture 1) by Sergei Gukov

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

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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

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The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck

Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Tangents to Parametric Curves (New) | Algebraic Calculus One | Wild Egg

Tangents are an essential part of the differential calculus. Here we introduce these important lines which approximate curves at points in an algebraic fashion -- finessing the need for infinite processes to support takings of limits. We begin by a discussion of tangents historically, espe

From playlist Algebraic Calculus One

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2_1 Sequences

Convergence and sequences.

From playlist Advanced Calculus / Multivariable Calculus

Related pages

Lambda cube | Pure type system | Intuitionistic type theory | Mathematical logic | Type theory | System F | Intuitionistic logic | Proof assistant | Coinduction | Foundations of mathematics | Homotopy type theory | Matita | Church encoding | Typed lambda calculus | Dependent type | Coq | Backus–Naur form