What is Kripke Semantics? (Modal Logic)
A video explaining Saul Kripke's Modal Logic Semantics, including possible worlds, the accessibility relation, and the valuation operation. It also includes the ...
Carneades.org
Thorsten Altenkirch - Why Type Theory matters | Lambda Days 2019
This video was recorded at Lambda Days 2019 http://www.lambdadays.org/lambdadays2019 Get involved in Lambda Days' next conference ...
Code Sync
Applied Category Theory. Chapter 7, lecture 2 (Fong)
Applied Category Theory MIT Course 18.S097 Independent Activities Period (IAP) 2019 Taught by David Spivak and Brendan Fong © Spifong.
Topos
∞-Category Theory for Undergraduates
At its current state of the art, ∞-category theory is challenging to explain even to specialists in closely related mathematical areas. Nevertheless, historical ...
Emily Riehl
How Do We Capture the Truth of Beliefs? Type Theory
How do we combine words to build full propositions? How do we account for what people believe, not just what's definitely true? In this week's episode, we talk ...
The Ling Space
Russell's Theory of Descriptions 1 - Some Puzzles
This series is a basic introduction to Russell's theory of descriptions. In this video, we begin by considering some puzzles about singular terms. Re the ...
Kane B
Stephan Boyer - What are Dependent Types - λC 2017
Description: Dependent types can encode arbitrary mathematical propositions, a fact which defies the intuition of most programmers. You can express the type of ...
LambdaConf
LambdaConf 2015 - Introduction to Intuitionistic Type Theory Vlad Patryshev
Traditionally, in Computer Science, sets are assumed to be the basis of a type theory, together with Boolean logic. In this version of type theory, we do not need ...
Confreaks
Peter Dybjer: Intuitionistic Type Theory (Lecture I)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions.
Hausdorff Center for Mathematics
Type Theory Foundations, Lecture 2
Robert Harper - Type Theory Foundations, Lecture 2, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the ...
p473r
It’s the type theory baby! - Michele Finelli
A gentle introduction to type theory (well, not so gentle ...): my position is that one of the most important feature of a language, in order to help programmers to ...
LambdaCon
Colin McLarty - Why is so much Category Theory Constructive?
Symposium : Sets Within Geometry : Nancy, France 26-29 July 2011.
Matt Earnshaw
Philosophy of Numbers - Numberphile
We revisit the philosophy department and the question of whether numbers really exist? Featuring Mark Jago from the University of Nottingham. More links ...
Numberphile
The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories - Emily Riehl
Vladimir Voevodsky Memorial Conference Topic: The synthetic theory of ∞-categories vs the synthetic theory of ∞-categories Speaker: Emily Riehl Affiliation: ...
Institute for Advanced Study
Eric Finster, Towards higher universal algebra in type theory
Homotopy Type Theory Electronic Seminar Talks, 2018-12-06 I will propose a definition of "coherent cartesian polynomial monad" in type theory. Special cases ...
HoTTEST
Intuitionist versus Classical Natural Deduction
With background music, if only to make the content less dry: http://www.youtube.com/watch?v=1Fyq491akoc.
iistanph
PS Unscripted - Intuitionistic Logic
Timings will be added in coming days...
PureScript Community
The Map Of Philosophy
A comprehensive map of all of the disciplines, areas and subdivisions of philosophy. Including logic, History of philosophy, philosophical traditions, value theory, ...
Carneades.org
LambdaConf 2015 - Introducing Emily Simplifying Functional Programming Andi McClure
Emily is an experimental language project focusing on simplifying the basis of programming languages: it models all language operations through composition ...
Confreaks
Propositions as Types - Papers We Love #026
Speaker: Jingwen Chen Paper: http://homepages.inf.ed.ac.uk/wadler/papers/propositions-as-types/propositions-as-types.pdf Event Page: ...
Engineers.SG
Matthias Baaz: Fast cut elimination in intuitionistic logic
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: In this lecture we provide an elementary ...
Hausdorff Center for Mathematics
Thierry Coquand: Constructive Algebra (Lecture I)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions.
Hausdorff Center for Mathematics
Lecture: unit 4 Derivations in SL part 2
0:24 Important Rules 1:15 Conjunction 2:13 Disjunction 4:00 Biconditional 5:36 Proof Structure/Example 18:46 Theorems 19:22 Contradiction ...
Alex Koo
Alexander Konovalov - The Leibniz Library and Applied Propositions as Types - λC 2018
miniconf.
LambdaConf
Dana Scott & Jeremy Siek - Theory & Models of Lambda Calculus: Typed and Untyped (Part 6) - λC 2018
slides: https://github.com/lambdaconf/lambdaconf-2018/tree/master/LC18-slides/LambdaCalculusWithScott%26Siek INTRODUCTION: The formal systems that ...
LambdaConf
Mark Bickford: Constructive Set Theory in Nuprl Type Theory
The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: Aczel propsed CZF as a foundation for ...
Hausdorff Center for Mathematics
Isomorphic Types are Equal!? by Thomas Streicher (Technische Universität Darmstadt, Germany)
Talk at: FOMUS 2016. For all Talks and more information, slides etc. see: http://fomus.weebly.com/ Isomorphic Types are Equal!? by Thomas Streicher ...
FOMUS 2016
Martin Hötzel Escardó: Constructive Mathematics in Univalent Type Theory (Lecture I)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions.
Hausdorff Center for Mathematics
Martin Hötzel Escardó: Constructive Mathematics in Univalent Type Theory (Lecture II)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions.
Hausdorff Center for Mathematics
Linear Logic - Trees in Homotopy Type Theory & Lolli vs Inference
Today we discuss this paper: https://arxiv.org/pdf/1504.02949.pdf and at the end a confusion around Lolli vs Inference. We also touch on intensional and ...
dapp studies
Thierry Coquand, A survey of constructive models of univalence
Homotopy Type Theory Electronic Seminar Talks, 2018-05-24 I will try to survey what is known at this stage about constructive models of univalence, and then ...
HoTTEST
Bas Spitters - Homotopy type theory, synthetic topology and probabilistic programming
Abstract available at the address http://tcsc.lakecomoschool.org/files/2018/06/AbstractsToposesInComo_20_06.pdf.
INSUBRIA Como Varese
Frank Pfenning (2012) - Linear Logic Lecture 01
Frank Pfenning (2012) - Linear Logic Lecture 01. Video uploaded with youtube-upload https://github.com/tokland/youtube-upload.
Andreas Lynge
Reasoning about types and code: Talk at SF Scala - October 17, 2019
https://www.meetup.com/SF-Scala/events/265169356/ Recording of slides and voice, with questions and answers from the audience. Talk slides: ...
Sergei Winitzki
An introduction to Category Theory – Lecture 4, Part 3 – Colin McLarty
Matt Earnshaw
Peter Dybjer Lecture 1 - OPLSS 2015
Recorded lecture from Oregon Programming Languages Summer School 2015. Uploaded with permission. Original from ...
David Christiansen
dia 1 parte perdida version 2 2
filosoficas-tube
Type Theory Foundations 2.1 — Robert Harper
http://www.cs.uoregon.edu/research/summerschool/summer12/curriculum.html.
Mathématiques et programmation
Type Theory Foundations, Lecture 4
Robert Harper - Type Theory Foundations, Lecture 4, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the ...
p473r
Peter Dybjer: Intuitionistic Type Theory (Lecture II)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions.
Hausdorff Center for Mathematics
A Formal Approach for Developing Reliable Service-based Systems
Google Tech Talks November, 29 2007 ABSTRACT Service-based systems are increasingly being used for deploying large-scale applications in mission-critical ...
Google TechTalks
Functional Tricity #9 - Adam Slaski "he Coq Proof Assistant"
Proof assistants are the very extreme incarnation of functional programming. The idea of proof assistance is a generalization of analogy between systems of ...
Scalac
