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![Zach Carter: Armchair Type Theory [JSConf2014]](http://web.archive.org./web/20150606185752im_/http://i.ytimg.com/vi/Y3PyAaTgX_0/0.jpg "It was recently discovered that types have been a thing since before Haskell.")
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In mathematics, logic and computer science, type theory is any of several formal systems that can serve as alternatives to naive set theory, or the study of such formalisms in general. In programming language theory, a branch of computer science, type theory can refer to the design, analysis and study of type systems, although some computer scientists limit the term's meaning to the study of abstract formalisms such as typed λ-calculi.
Bertrand Russell invented the first type theory in response to his discovery that Gottlob Frege's version of naive set theory was afflicted with Russell's paradox. This theory of types features prominently in Whitehead and Russell's Principia Mathematica. It avoids Russell's paradox by first creating a hierarchy of types, then assigning each mathematical (and possibly other) entity to a type. Objects of a given type are built exclusively from objects of preceding types (those lower in the hierarchy), thus preventing loops.
Alonzo Church, inventor of the lambda calculus, developed a higher-order logic commonly called Church's Theory of Types, in order to avoid the Kleene–Rosser paradox afflicting the original pure lambda calculus. Church's type theory is a variant of the lambda calculus in which expressions (also called formulas or λ-terms) are classified into types, and the types of expressions restrict the ways in which they can be combined. In other words, it is a typed lambda calculus. The article Church's Type Theory in the Stanford Encyclopedia of Philosophy is devoted to this subject.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Type_theory
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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Type Theory Foundations, Lecture 1
Type Theory Foundations, Lecture 1 -
Type Theory Foundations, Lecture 2
Type Theory Foundations, Lecture 2Type 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 summer scho... -
Type Theory Foundations, Lecture 3
Type Theory Foundations, Lecture 3Type Theory Foundations, Lecture 3
Robert Harper - Type Theory Foundations, Lecture 3, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho... -
Type Theory Foundations, Lecture 5
Type Theory Foundations, Lecture 5Type Theory Foundations, Lecture 5
Robert Harper - Type Theory Foundations, Lecture 5, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho... -
Type Theory Foundations, Lecture 6
Type Theory Foundations, Lecture 6Type Theory Foundations, Lecture 6
Robert Harper - Type Theory Foundations, Lecture 6, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/ -
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big IdeaLambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Homotopy Type Theory (http://homotopytypetheory.org/) is a research program that brings together computer science (in the form of dependent type theory), logic, and algebraic topology in a single cohesive way. Its great insight is in systematizing the way in which these fields have all, in some sense been studying the “same” thing. From the standpoint of computer science, it consists of a new “geometric” interpretation of dependent type theory in which we think of types as topological spaces, and also the addition of a single axiom, univalence, which makes the initially confusing claim that “equivalence is equivalent to equality.” The implica -
Introduction to Type Theory
Introduction to Type TheoryIntroduction to Type Theory
The video for this talk http://www.meetup.com/Math-for-People/events/174966252/ slides https://docs.google.com/presentation/d/1IzRaCdIfisLWDF_8CL47NlO9NCJNCiR2L4Vbw6aDOqA/edit?usp=sharing code https://github.com/marklemay/introduction-to-type-theory/blob/master/introduction_to_type_theory.agda -
Zach Carter: Armchair Type Theory [JSConf2014]
Zach Carter: Armchair Type Theory [JSConf2014]Zach Carter: Armchair Type Theory [JSConf2014]
It was recently discovered that types have been a thing since before Haskell. -
Type Theory Corner
Type Theory CornerType Theory Corner
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Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type TheoryDan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Description coming soon. http://video.ias.edu/univalent/1213/0411-HomotopyGroup. -
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type TheoryThorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ... -
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type TheoryThorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ... -
Advanced Topics in Programming Languages Series:...
Advanced Topics in Programming Languages Series:...Advanced Topics in Programming Languages Series:...
Google Tech Talks April 18, 2007 ABSTRACT Advanced Topics in Programming Languages Series: Parametric Polymorphism and the Girard-Reynolds Isomorphism. This ... -
Rae Sremmurd - No Type (K Theory Remix)
Rae Sremmurd - No Type (K Theory Remix)Rae Sremmurd - No Type (K Theory Remix)
♫ Download Link ♫ ➥https://soundcloud.com/ktheory/notype Click "Show more" to more important details! ♫ Support Trap Nation ♫ ♦http://alltrapnation.com/ ♦http://twitter.com/alltrapnation ♦http://facebook.com/alltrapnation ♦http://soundcloud.com/alltrapnation ♦http://instagram.com/thetrapnation ♦http://trapnation.spreadshirt.com ♫ Support The Producer ♫ ●https://soundcloud.com/ktheory ●http://www.facebook.com/ktheory ●http://twitter.com/ktheorymusic ●http://www.youtube.com/ktheorydubs ♫ Support The Photographer ♫ ●http://www.flickriver.com/photos/gimar/popular-interesting/ ●https://www.flickr.com/photos/gimar/ ♫ Background Link ♫ ➥http://w
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-
Type Theory Foundations, Lecture 1
Type Theory Foundations, Lecture 1Type Theory Foundations, Lecture 1
Robert Harper - Type Theory Foundations, Lecture 1, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/ -
Type Theory Foundations, Lecture 2
Type Theory Foundations, Lecture 2Type 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 summer scho... -
Type Theory Foundations, Lecture 3
Type Theory Foundations, Lecture 3Type Theory Foundations, Lecture 3
Robert Harper - Type Theory Foundations, Lecture 3, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho... -
Type Theory Foundations, Lecture 5
Type Theory Foundations, Lecture 5Type Theory Foundations, Lecture 5
Robert Harper - Type Theory Foundations, Lecture 5, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho... -
Type Theory Foundations, Lecture 6
Type Theory Foundations, Lecture 6Type Theory Foundations, Lecture 6
Robert Harper - Type Theory Foundations, Lecture 6, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/ -
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big IdeaLambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Homotopy Type Theory (http://homotopytypetheory.org/) is a research program that brings together computer science (in the form of dependent type theory), logic, and algebraic topology in a single cohesive way. Its great insight is in systematizing the way in which these fields have all, in some sense been studying the “same” thing. From the standpoint of computer science, it consists of a new “geometric” interpretation of dependent type theory in which we think of types as topological spaces, and also the addition of a single axiom, univalence, which makes the initially confusing claim that “equivalence is equivalent to equality.” The implica -
Introduction to Type Theory
Introduction to Type TheoryIntroduction to Type Theory
The video for this talk http://www.meetup.com/Math-for-People/events/174966252/ slides https://docs.google.com/presentation/d/1IzRaCdIfisLWDF_8CL47NlO9NCJNCiR2L4Vbw6aDOqA/edit?usp=sharing code https://github.com/marklemay/introduction-to-type-theory/blob/master/introduction_to_type_theory.agda -
Zach Carter: Armchair Type Theory [JSConf2014]
Zach Carter: Armchair Type Theory [JSConf2014]Zach Carter: Armchair Type Theory [JSConf2014]
It was recently discovered that types have been a thing since before Haskell. -
Type Theory Corner
Type Theory CornerType Theory Corner
-
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type TheoryDan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Description coming soon. http://video.ias.edu/univalent/1213/0411-HomotopyGroup. -
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type TheoryThorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ... -
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type TheoryThorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ... -
Advanced Topics in Programming Languages Series:...
Advanced Topics in Programming Languages Series:...Advanced Topics in Programming Languages Series:...
Google Tech Talks April 18, 2007 ABSTRACT Advanced Topics in Programming Languages Series: Parametric Polymorphism and the Girard-Reynolds Isomorphism. This ... -
Rae Sremmurd - No Type (K Theory Remix)
Rae Sremmurd - No Type (K Theory Remix)Rae Sremmurd - No Type (K Theory Remix)
♫ Download Link ♫ ➥https://soundcloud.com/ktheory/notype Click "Show more" to more important details! ♫ Support Trap Nation ♫ ♦http://alltrapnation.com/ ♦http://twitter.com/alltrapnation ♦http://facebook.com/alltrapnation ♦http://soundcloud.com/alltrapnation ♦http://instagram.com/thetrapnation ♦http://trapnation.spreadshirt.com ♫ Support The Producer ♫ ●https://soundcloud.com/ktheory ●http://www.facebook.com/ktheory ●http://twitter.com/ktheorymusic ●http://www.youtube.com/ktheorydubs ♫ Support The Photographer ♫ ●http://www.flickriver.com/photos/gimar/popular-interesting/ ●https://www.flickr.com/photos/gimar/ ♫ Background Link ♫ ➥http://w -
PLT: Type Theory 1 - ZFC set theory (part 1)
PLT: Type Theory 1 - ZFC set theory (part 1)PLT: Type Theory 1 - ZFC set theory (part 1)
The first lecture on type theory in programming languages. Strap yourself in for a wild mathematical ride. -
Player Type Theory: Uses and Abuses | Richard BARTLE
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Online games now sit firmly on the casual player's daily to-do list, thanks to the liberating effects of social media. With the leading developers forging ah... -
"Kendrick Lamar" Type Beat - "Theory Of Mind" - LebanonDonM&D;
"Kendrick Lamar" Type Beat - "Theory Of Mind" - LebanonDonM&D;"Kendrick Lamar" Type Beat - "Theory Of Mind" - LebanonDonM&D;
TO LEASE THIS BEAT UNTAGGED PURCHASE HERE: https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted;_button_id=493SSVEA9QVLS For Other Questions About Inquiring This Beat Text Me @ 985-415-9417 For Via Email ddub2307@yahoo.com For More Exclusive Production That May Not Be Listed On My Youtube Visit My Site @ WWW.MD-PRODUCTIONS.COM http://www.md-productions.com http://www.youtube.com/08thephantom https://soundcloud.com/lebanon-don http://www.audiomack.com/artist/lebanondonmd https://lebanondon.bandcamp.com IGNORE BELOW! "Kendrick Lamar "The Blacker The Berry" Produced by Boi-1da Additional -
Martin Hyland, Models for Type Theory - 16 aprile 2014
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XXV Incontro dell'Associazione Italiana di Logica e sue Applicazioni http://ailapisa2014.weebly.com/ http://www.sns.it/didattica/lettere/menunews/convegni/anniprecedenti/20132014/aila2014/... -
Dan Licata, Cubical infinite-dimensional type theory
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On 9 Nov 2014, at Homotopy Type Theory Workshop (7-10 Nov 2014, Mathematical Institute, University of Oxford) Abstract: In this talk, I will describe work in progress (joint with Guillaume Brunerie) on a cubical syntax for type theory. The goal of the work is to provide a syntactic type theory where the computational aspects of the cubical sets model by Bezem, Coquand, and Huber can be expressed. I will describe a "boundaries-as-terms" cubical type theory, where the basic judgement is "the term u is an n-cube in the type A, together with its boundary", and the cubical operations (faces, degeneracies, symmetries, and diagonals) can be applied -
Pokemon Theory: Why Charizard Is Not A Dragon Type Originally?
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Please remember to like and Check the Links Below! Please be kind and donate, link below- https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business;=Proto... -
ICFP 2014: session "Homotopy Type Theory"
ICFP 2014: session "Homotopy Type Theory"ICFP 2014: session "Homotopy Type Theory"
International Conference on Functional Programming 2014. Gothenburg, Sweden. Two talks in the session: Homotopical Patch Theory - Carlo Angiuli Pattern Matching without K - Jesper Cockx -
Pokemon Theory- What Is The Next Pokemon Type? Gen 7
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For almost every new generation of Pokémon games, there is seems to be a new type of Pokémon to spice things up. The latest one introduce is the fairy type, but what could the next one be? My Gaming Channel! http://www.youtube.com/user/oviplays Subscribe:http://www.youtube.com/subscription_center?add_user=npere123 Follow me on: Facebook: https://www.facebook.com/pages/Ovi/915648548449705 Twitter: https://twitter.com/OviCuriosities intro song by maklibek https://www.youtube.com/watch?v=e28JALg9E3Q -
Groove Theory - Shy Type
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Type Theory Foundations, Lecture 1
- Order: Reorder
- Duration: 84:13
- Updated: 08 Dec 2013
Robert Harper - Type Theory Foundations, Lecture 1, Oregon Programming Languages Summer School 2012, University of Oregon
For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/
http://wn.com/Type_Theory_Foundations,_Lecture_1
Robert Harper - Type Theory Foundations, Lecture 1, Oregon Programming Languages Summer School 2012, University of Oregon
For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/
- published: 08 Dec 2013
- views: 102
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 summer scho...
http://wn.com/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 summer scho...
- published: 08 Dec 2013
- views: 922
- author: p473r
Type Theory Foundations, Lecture 3
Robert Harper - Type Theory Foundations, Lecture 3, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho...
http://wn.com/Type_Theory_Foundations,_Lecture_3
Robert Harper - Type Theory Foundations, Lecture 3, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho...
- published: 08 Dec 2013
- views: 422
- author: p473r
Type Theory Foundations, Lecture 5
Robert Harper - Type Theory Foundations, Lecture 5, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho...
http://wn.com/Type_Theory_Foundations,_Lecture_5
Robert Harper - Type Theory Foundations, Lecture 5, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho...
- published: 08 Dec 2013
- views: 247
- author: p473r
Type Theory Foundations, Lecture 6
- Order: Reorder
- Duration: 74:17
- Updated: 08 Dec 2013
Robert Harper - Type Theory Foundations, Lecture 6, Oregon Programming Languages Summer School 2012, University of Oregon
For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/
http://wn.com/Type_Theory_Foundations,_Lecture_6
Robert Harper - Type Theory Foundations, Lecture 6, Oregon Programming Languages Summer School 2012, University of Oregon
For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/
- published: 08 Dec 2013
- views: 15
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
- Order: Reorder
- Duration: 30:10
- Updated: 13 Sep 2014
Homotopy Type Theory (http://homotopytypetheory.org/) is a research program that brings together computer science (in the form of dependent type theory), logic, and algebraic topology in a single cohesive way. Its great insight is in systematizing the way in which these fields have all, in some sense been studying the “same” thing. From the standpoint of computer science, it consists of a new “geometric” interpretation of dependent type theory in which we think of types as topological spaces, and also the addition of a single axiom, univalence, which makes the initially confusing claim that “equivalence is equivalent to equality.” The implications of this work will take years before they affect the development of compilers and languages directly. However, the concepts and insights already can help us change the way in which we think about programming, and provide an avenue for programmers familiar with some type theory to discover that in some sense, they “already” knew more about homotopy theory than they imagined.
This talk will be very high level, spelling out the basic idea of the homotopy interpretation, as well as providing a way to concretely think about univalence in the context of Haskell. It will also spend some time discussing infinity-groupoids, why they are far more straightforward than their name implies, and why they turn out to be so important.
http://wn.com/Lambda_Jam_2014_-_Gershom_Bazerman_-_Homotopy_Type_Theory_What's_the_Big_Idea
Homotopy Type Theory (http://homotopytypetheory.org/) is a research program that brings together computer science (in the form of dependent type theory), logic, and algebraic topology in a single cohesive way. Its great insight is in systematizing the way in which these fields have all, in some sense been studying the “same” thing. From the standpoint of computer science, it consists of a new “geometric” interpretation of dependent type theory in which we think of types as topological spaces, and also the addition of a single axiom, univalence, which makes the initially confusing claim that “equivalence is equivalent to equality.” The implications of this work will take years before they affect the development of compilers and languages directly. However, the concepts and insights already can help us change the way in which we think about programming, and provide an avenue for programmers familiar with some type theory to discover that in some sense, they “already” knew more about homotopy theory than they imagined.
This talk will be very high level, spelling out the basic idea of the homotopy interpretation, as well as providing a way to concretely think about univalence in the context of Haskell. It will also spend some time discussing infinity-groupoids, why they are far more straightforward than their name implies, and why they turn out to be so important.
- published: 13 Sep 2014
- views: 25
Introduction to Type Theory
- Order: Reorder
- Duration: 39:54
- Updated: 22 Dec 2014
The video for this talk http://www.meetup.com/Math-for-People/events/174966252/
slides https://docs.google.com/presentation/d/1IzRaCdIfisLWDF_8CL47NlO9NCJNCiR2L4Vbw6aDOqA/edit?usp=sharing
code https://github.com/marklemay/introduction-to-type-theory/blob/master/introduction_to_type_theory.agda
http://wn.com/Introduction_to_Type_Theory
The video for this talk http://www.meetup.com/Math-for-People/events/174966252/
slides https://docs.google.com/presentation/d/1IzRaCdIfisLWDF_8CL47NlO9NCJNCiR2L4Vbw6aDOqA/edit?usp=sharing
code https://github.com/marklemay/introduction-to-type-theory/blob/master/introduction_to_type_theory.agda
- published: 22 Dec 2014
- views: 9
Zach Carter: Armchair Type Theory [JSConf2014]
It was recently discovered that types have been a thing since before Haskell.
http://wn.com/Zach_Carter_Armchair_Type_Theory_JSConf2014_
It was recently discovered that types have been a thing since before Haskell.
- published: 28 Jul 2014
- views: 586
- author: JSConf
Type Theory Corner
- Order: Reorder
- Duration: 32:52
- Updated: 10 Jul 2014
- author: Gavin Mendel-Gleason
http://wn.com/Type_Theory_Corner
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
- Order: Reorder
- Duration: 88:36
- Updated: 30 Jun 2014
- author: LeonhardEuler1
Description coming soon. http://video.ias.edu/univalent/1213/0411-HomotopyGroup.
http://wn.com/Dan_Licata,_Guillaume_Brunerie,_and_Peter_Lumsdaine,_Homotopy_Theory_in_Type_Theory
Description coming soon. http://video.ias.edu/univalent/1213/0411-HomotopyGroup.
- published: 06 May 2013
- views: 1020
- author: LeonhardEuler1
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
- Order: Reorder
- Duration: 77:33
- Updated: 12 Aug 2014
- author: Institut Henri Poincaré
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ...
http://wn.com/Thorsten_Altenkirch_-_1_2_Towards_a_Syntax_for_Cubical_Type_Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ...
- published: 19 May 2014
- views: 774
- author: Institut Henri Poincaré
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
- Order: Reorder
- Duration: 59:32
- Updated: 24 May 2014
- author: Institut Henri Poincaré
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ...
http://wn.com/Thorsten_Altenkirch_-_2_2_Towards_a_Syntax_for_Cubical_Type_Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ...
- published: 19 May 2014
- views: 224
- author: Institut Henri Poincaré
Advanced Topics in Programming Languages Series:...
- Order: Reorder
- Duration: 30:41
- Updated: 08 May 2014
- author: GoogleTechTalks
Google Tech Talks April 18, 2007 ABSTRACT Advanced Topics in Programming Languages Series: Parametric Polymorphism and the Girard-Reynolds Isomorphism. This ...
http://wn.com/Advanced_Topics_in_Programming_Languages_Series_...
Google Tech Talks April 18, 2007 ABSTRACT Advanced Topics in Programming Languages Series: Parametric Polymorphism and the Girard-Reynolds Isomorphism. This ...
- published: 09 Oct 2007
- views: 29006
- author: GoogleTechTalks
Rae Sremmurd - No Type (K Theory Remix)
- Order: Reorder
- Duration: 4:34
- Updated: 28 Oct 2014
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- published: 28 Oct 2014
- views: 301
PLT: Type Theory 1 - ZFC set theory (part 1)
- Order: Reorder
- Duration: 14:24
- Updated: 15 Jul 2013
- author: Rehno Lindeque
The first lecture on type theory in programming languages. Strap yourself in for a wild mathematical ride.
http://wn.com/PLT_Type_Theory_1_-_ZFC_set_theory_(part_1)
The first lecture on type theory in programming languages. Strap yourself in for a wild mathematical ride.
- published: 06 Apr 2011
- views: 4228
- author: Rehno Lindeque
Player Type Theory: Uses and Abuses | Richard BARTLE
- Order: Reorder
- Duration: 57:01
- Updated: 28 Aug 2014
- author: CasualConnect
Online games now sit firmly on the casual player's daily to-do list, thanks to the liberating effects of social media. With the leading developers forging ah...
http://wn.com/Player_Type_Theory_Uses_and_Abuses_|_Richard_BARTLE
Online games now sit firmly on the casual player's daily to-do list, thanks to the liberating effects of social media. With the leading developers forging ah...
- published: 11 Mar 2012
- views: 3063
- author: CasualConnect
"Kendrick Lamar" Type Beat - "Theory Of Mind" - LebanonDonM&D;
- Order: Reorder
- Duration: 3:13
- Updated: 19 Feb 2015
TO LEASE THIS BEAT UNTAGGED PURCHASE HERE:
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IGNORE BELOW!
"Kendrick Lamar "The Blacker The Berry" Produced by Boi-1da Additional Production by Terrace Martin • MixedByAli"
"Kendrick Lamar, Official, Video, Kendrick, Lamar, Rap, Hip Hop, Interscope"
"Dr. Dre (Music Video Performer), Kendrick Lamar (Musical Artist), the game, rapper, The Documentary (Musical Album), Jayceon Terrell Taylor (Celebrity), Game"
"hiphop, hip-hop, hip hop, vibe, vibe magazine, vibe.com, rap, Kendrick Lamar (Musical Artist), top dawg entertainment, Freestyle Music (Musical Genre), Kendr..."
"Kendrick Lamar, Untitled, New Song, Album Leak, New Album, Album, Compton, KDot, Rap, Hip Hop, Leak, Music, Dr Dre, TDE, Schoolboy Q, Kanye West, Type Beat, ..."
"Grammy Award For Best Rap Song (Award Category), Kendrick Lamar (Musical Artist), 57th Annual Grammy Awards, Grammy Awards (Award)"
"Kendrick Lamar, Kendrick Lamar - The Blacker The Berry, The Blacker The Berry"
"Best New Artist Nominee, Best New Artist, GRAMMY, Music, Day In The Life, Award show, The Recording Academy, GRAMMYs, Musician, Kendrick Lamar, Nominee"
"Kendrick Lamar (Musical Artist), dr dre, beats by dre, music, commercial, headphones, speakers, beats by dr dre, studio, Interscope Records (Organization), e..."
"Kendrick Lamar (Musical Artist), Macklemore (Musical Artist), Hip Hop Music (Musical Genre), Hip Hop (Musical Genre), TDE, ebro, ebro in the morning, peter r..."
"Kendrick Lamar (Musical Artist), Taylor Swift, TDE, Shake It Off, Freestyle, Los Angeles (City/Town/Village), Dallas, New York City (City/Town/Village), Musi..."
"kendrick Lamar, Funkmaster flex, flex, hot 97, rap, freestyle, spit, tde, control, verse, hip hop, big sean"
"Kendrick Lamar (Musical Artist), Beat, Beats, Instrumental, Fruity, Beat Music (Musical Genre), Hype! (Film), Rap, Hiphop, Producer, Sample, Instrumentals, F..."
"ASAP Rocky (Musical Artist), Drake type instrumental, Kid Cudi type beat, Rap, Kendrick Lamar (Musical Artist), Producer, FL Studio (Software), Hiphop, Drake..."
http://wn.com/"Kendrick_Lamar"_Type_Beat_-_"Theory_Of_Mind"_-_LebanonDonM&D;
TO LEASE THIS BEAT UNTAGGED PURCHASE HERE:
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For Via Email ddub2307@yahoo.com
For More Exclusive Production That May Not Be Listed On My Youtube Visit My Site @ WWW.MD-PRODUCTIONS.COM
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https://soundcloud.com/lebanon-don
http://www.audiomack.com/artist/lebanondonmd
https://lebanondon.bandcamp.com
IGNORE BELOW!
"Kendrick Lamar "The Blacker The Berry" Produced by Boi-1da Additional Production by Terrace Martin • MixedByAli"
"Kendrick Lamar, Official, Video, Kendrick, Lamar, Rap, Hip Hop, Interscope"
"Dr. Dre (Music Video Performer), Kendrick Lamar (Musical Artist), the game, rapper, The Documentary (Musical Album), Jayceon Terrell Taylor (Celebrity), Game"
"hiphop, hip-hop, hip hop, vibe, vibe magazine, vibe.com, rap, Kendrick Lamar (Musical Artist), top dawg entertainment, Freestyle Music (Musical Genre), Kendr..."
"Kendrick Lamar, Untitled, New Song, Album Leak, New Album, Album, Compton, KDot, Rap, Hip Hop, Leak, Music, Dr Dre, TDE, Schoolboy Q, Kanye West, Type Beat, ..."
"Grammy Award For Best Rap Song (Award Category), Kendrick Lamar (Musical Artist), 57th Annual Grammy Awards, Grammy Awards (Award)"
"Kendrick Lamar, Kendrick Lamar - The Blacker The Berry, The Blacker The Berry"
"Best New Artist Nominee, Best New Artist, GRAMMY, Music, Day In The Life, Award show, The Recording Academy, GRAMMYs, Musician, Kendrick Lamar, Nominee"
"Kendrick Lamar (Musical Artist), dr dre, beats by dre, music, commercial, headphones, speakers, beats by dr dre, studio, Interscope Records (Organization), e..."
"Kendrick Lamar (Musical Artist), Macklemore (Musical Artist), Hip Hop Music (Musical Genre), Hip Hop (Musical Genre), TDE, ebro, ebro in the morning, peter r..."
"Kendrick Lamar (Musical Artist), Taylor Swift, TDE, Shake It Off, Freestyle, Los Angeles (City/Town/Village), Dallas, New York City (City/Town/Village), Musi..."
"kendrick Lamar, Funkmaster flex, flex, hot 97, rap, freestyle, spit, tde, control, verse, hip hop, big sean"
"Kendrick Lamar (Musical Artist), Beat, Beats, Instrumental, Fruity, Beat Music (Musical Genre), Hype! (Film), Rap, Hiphop, Producer, Sample, Instrumentals, F..."
"ASAP Rocky (Musical Artist), Drake type instrumental, Kid Cudi type beat, Rap, Kendrick Lamar (Musical Artist), Producer, FL Studio (Software), Hiphop, Drake..."
- published: 19 Feb 2015
- views: 60
Martin Hyland, Models for Type Theory - 16 aprile 2014
- Order: Reorder
- Duration: 49:00
- Updated: 16 Apr 2014
- author: Scuola Normale Superiore
XXV Incontro dell'Associazione Italiana di Logica e sue Applicazioni http://ailapisa2014.weebly.com/ http://www.sns.it/didattica/lettere/menunews/convegni/anniprecedenti/20132014/aila2014/...
http://wn.com/Martin_Hyland,_Models_for_Type_Theory_-_16_aprile_2014
XXV Incontro dell'Associazione Italiana di Logica e sue Applicazioni http://ailapisa2014.weebly.com/ http://www.sns.it/didattica/lettere/menunews/convegni/anniprecedenti/20132014/aila2014/...
- published: 16 Apr 2014
- views: 138
- author: Scuola Normale Superiore
Dan Licata, Cubical infinite-dimensional type theory
- Order: Reorder
- Duration: 65:39
- Updated: 19 Nov 2014
On 9 Nov 2014, at Homotopy Type Theory Workshop (7-10 Nov 2014, Mathematical Institute, University of Oxford)
Abstract: In this talk, I will describe work in progress (joint with Guillaume Brunerie) on a cubical syntax for type theory. The goal of the work is to provide a syntactic type theory where the computational aspects of the cubical sets model by Bezem, Coquand, and Huber can be expressed. I will describe a "boundaries-as-terms" cubical type theory, where the basic judgement is "the term u is an n-cube in the type A, together with its boundary", and the cubical operations (faces, degeneracies, symmetries, and diagonals) can be applied to any term. This syntax permits a clean formulation of the computation rules for Kan fillings in Pi, Sigma, and identity types. Moreover, diagonals support the computation rules for higher inductive types. The most salient open issue is how to define the Kan fillings for the universe and for univalence; I would welcome collaboration on this after the talk
http://wn.com/Dan_Licata,_Cubical_infinite-dimensional_type_theory
On 9 Nov 2014, at Homotopy Type Theory Workshop (7-10 Nov 2014, Mathematical Institute, University of Oxford)
Abstract: In this talk, I will describe work in progress (joint with Guillaume Brunerie) on a cubical syntax for type theory. The goal of the work is to provide a syntactic type theory where the computational aspects of the cubical sets model by Bezem, Coquand, and Huber can be expressed. I will describe a "boundaries-as-terms" cubical type theory, where the basic judgement is "the term u is an n-cube in the type A, together with its boundary", and the cubical operations (faces, degeneracies, symmetries, and diagonals) can be applied to any term. This syntax permits a clean formulation of the computation rules for Kan fillings in Pi, Sigma, and identity types. Moreover, diagonals support the computation rules for higher inductive types. The most salient open issue is how to define the Kan fillings for the universe and for univalence; I would welcome collaboration on this after the talk
- published: 19 Nov 2014
- views: 5
Pokemon Theory: Why Charizard Is Not A Dragon Type Originally?
- Order: Reorder
- Duration: 4:22
- Updated: 05 Sep 2014
- author: ProtoMario
Please remember to like and Check the Links Below! Please be kind and donate, link below- https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business;=Proto...
http://wn.com/Pokemon_Theory_Why_Charizard_Is_Not_A_Dragon_Type_Originally?
Please remember to like and Check the Links Below! Please be kind and donate, link below- https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business;=Proto...
- published: 31 May 2013
- views: 567571
- author: ProtoMario
ICFP 2014: session "Homotopy Type Theory"
- Order: Reorder
- Duration: 55:03
- Updated: 04 Sep 2014
International Conference on Functional Programming 2014.
Gothenburg, Sweden.
Two talks in the session:
Homotopical Patch Theory - Carlo Angiuli
Pattern Matching without K - Jesper Cockx
http://wn.com/ICFP_2014_session_"Homotopy_Type_Theory"
International Conference on Functional Programming 2014.
Gothenburg, Sweden.
Two talks in the session:
Homotopical Patch Theory - Carlo Angiuli
Pattern Matching without K - Jesper Cockx
- published: 04 Sep 2014
- views: 315
Pokemon Theory- What Is The Next Pokemon Type? Gen 7
- Order: Reorder
- Duration: 3:33
- Updated: 26 Dec 2014
For almost every new generation of Pokémon games, there is seems to be a new type of Pokémon to spice things up. The latest one introduce is the fairy type, but what could the next one be?
My Gaming Channel!
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http://wn.com/Pokemon_Theory-_What_Is_The_Next_Pokemon_Type?_Gen_7
For almost every new generation of Pokémon games, there is seems to be a new type of Pokémon to spice things up. The latest one introduce is the fairy type, but what could the next one be?
My Gaming Channel!
http://www.youtube.com/user/oviplays
Subscribe:http://www.youtube.com/subscription_center?add_user=npere123
Follow me on:
Facebook: https://www.facebook.com/pages/Ovi/915648548449705
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intro song by
maklibek
https://www.youtube.com/watch?v=e28JALg9E3Q
- published: 26 Dec 2014
- views: 109
Groove Theory - Shy Type
Label:Not On Label - Country:US - Released:2000 - Genre:Soul / R'n'B.
http://wn.com/Groove_Theory_-_Shy_Type
Label:Not On Label - Country:US - Released:2000 - Genre:Soul / R'n'B.
- published: 02 May 2010
- views: 6207
- author: AndyManch
- Playlist
- Chat
84:13
Type Theory Foundations, Lecture 1
Robert Harper - Type Theory Foundations, Lecture 1, Oregon Programming Languages Summer Sc...
published: 08 Dec 2013
Type Theory Foundations, Lecture 1
Type Theory Foundations, Lecture 1
Robert Harper - Type Theory Foundations, Lecture 1, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/- published: 08 Dec 2013
- views: 102
80:07
Type Theory Foundations, Lecture 2
Robert Harper - Type Theory Foundations, Lecture 2, Oregon Programming Languages Summer Sc...
published: 08 Dec 2013
author: p473r
Type Theory Foundations, Lecture 2
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 summer scho...- published: 08 Dec 2013
- views: 922
- author: p473r
78:11
Type Theory Foundations, Lecture 3
Robert Harper - Type Theory Foundations, Lecture 3, Oregon Programming Languages Summer Sc...
published: 08 Dec 2013
author: p473r
Type Theory Foundations, Lecture 3
Type Theory Foundations, Lecture 3
Robert Harper - Type Theory Foundations, Lecture 3, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho...- published: 08 Dec 2013
- views: 422
- author: p473r
90:48
Type Theory Foundations, Lecture 5
Robert Harper - Type Theory Foundations, Lecture 5, Oregon Programming Languages Summer Sc...
published: 08 Dec 2013
author: p473r
Type Theory Foundations, Lecture 5
Type Theory Foundations, Lecture 5
Robert Harper - Type Theory Foundations, Lecture 5, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer scho...- published: 08 Dec 2013
- views: 247
- author: p473r
74:17
Type Theory Foundations, Lecture 6
Robert Harper - Type Theory Foundations, Lecture 6, Oregon Programming Languages Summer Sc...
published: 08 Dec 2013
Type Theory Foundations, Lecture 6
Type Theory Foundations, Lecture 6
Robert Harper - Type Theory Foundations, Lecture 6, Oregon Programming Languages Summer School 2012, University of Oregon For more info about the summer school please visit http://www.cs.uoregon.edu/research/summerschool/summer12/- published: 08 Dec 2013
- views: 15
30:10
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Homotopy Type Theory (http://homotopytypetheory.org/) is a research program that brings to...
published: 13 Sep 2014
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Lambda Jam 2014 - Gershom Bazerman - Homotopy Type Theory: What's the Big Idea
Homotopy Type Theory (http://homotopytypetheory.org/) is a research program that brings together computer science (in the form of dependent type theory), logic, and algebraic topology in a single cohesive way. Its great insight is in systematizing the way in which these fields have all, in some sense been studying the “same” thing. From the standpoint of computer science, it consists of a new “geometric” interpretation of dependent type theory in which we think of types as topological spaces, and also the addition of a single axiom, univalence, which makes the initially confusing claim that “equivalence is equivalent to equality.” The implications of this work will take years before they affect the development of compilers and languages directly. However, the concepts and insights already can help us change the way in which we think about programming, and provide an avenue for programmers familiar with some type theory to discover that in some sense, they “already” knew more about homotopy theory than they imagined. This talk will be very high level, spelling out the basic idea of the homotopy interpretation, as well as providing a way to concretely think about univalence in the context of Haskell. It will also spend some time discussing infinity-groupoids, why they are far more straightforward than their name implies, and why they turn out to be so important.- published: 13 Sep 2014
- views: 25
39:54
Introduction to Type Theory
The video for this talk http://www.meetup.com/Math-for-People/events/174966252/
slides ht...
published: 22 Dec 2014
Introduction to Type Theory
Introduction to Type Theory
The video for this talk http://www.meetup.com/Math-for-People/events/174966252/ slides https://docs.google.com/presentation/d/1IzRaCdIfisLWDF_8CL47NlO9NCJNCiR2L4Vbw6aDOqA/edit?usp=sharing code https://github.com/marklemay/introduction-to-type-theory/blob/master/introduction_to_type_theory.agda- published: 22 Dec 2014
- views: 9
20:47
Zach Carter: Armchair Type Theory [JSConf2014]
It was recently discovered that types have been a thing since before Haskell....
published: 28 Jul 2014
author: JSConf
Zach Carter: Armchair Type Theory [JSConf2014]
Zach Carter: Armchair Type Theory [JSConf2014]
It was recently discovered that types have been a thing since before Haskell.- published: 28 Jul 2014
- views: 586
- author: JSConf
88:36
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Description coming soon. http://video.ias.edu/univalent/1213/0411-HomotopyGroup....
published: 06 May 2013
author: LeonhardEuler1
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Dan Licata, Guillaume Brunerie, and Peter Lumsdaine, Homotopy Theory in Type Theory
Description coming soon. http://video.ias.edu/univalent/1213/0411-HomotopyGroup.- published: 06 May 2013
- views: 1020
- author: LeonhardEuler1
77:33
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as exten...
published: 19 May 2014
author: Institut Henri Poincaré
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
Thorsten Altenkirch - 1/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ...- published: 19 May 2014
- views: 774
- author: Institut Henri Poincaré
59:32
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as exten...
published: 19 May 2014
author: Institut Henri Poincaré
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
Thorsten Altenkirch - 2/2 Towards a Syntax for Cubical Type Theory
One of the key problems of Homotopy Type Theory is that it introduces axioms such as extensionality and univalence for which there is no known computational ...- published: 19 May 2014
- views: 224
- author: Institut Henri Poincaré
30:41
Advanced Topics in Programming Languages Series:...
Google Tech Talks April 18, 2007 ABSTRACT Advanced Topics in Programming Languages Series:...
published: 09 Oct 2007
author: GoogleTechTalks
Advanced Topics in Programming Languages Series:...
Advanced Topics in Programming Languages Series:...
Google Tech Talks April 18, 2007 ABSTRACT Advanced Topics in Programming Languages Series: Parametric Polymorphism and the Girard-Reynolds Isomorphism. This ...- published: 09 Oct 2007
- views: 29006
- author: GoogleTechTalks
4:34
Rae Sremmurd - No Type (K Theory Remix)
♫ Download Link ♫
➥https://soundcloud.com/ktheory/notype
Click "Show more" to more importa...
published: 28 Oct 2014
Rae Sremmurd - No Type (K Theory Remix)
Rae Sremmurd - No Type (K Theory Remix)
♫ Download Link ♫ ➥https://soundcloud.com/ktheory/notype Click "Show more" to more important details! ♫ Support Trap Nation ♫ ♦http://alltrapnation.com/ ♦http://twitter.com/alltrapnation ♦http://facebook.com/alltrapnation ♦http://soundcloud.com/alltrapnation ♦http://instagram.com/thetrapnation ♦http://trapnation.spreadshirt.com ♫ Support The Producer ♫ ●https://soundcloud.com/ktheory ●http://www.facebook.com/ktheory ●http://twitter.com/ktheorymusic ●http://www.youtube.com/ktheorydubs ♫ Support The Photographer ♫ ●http://www.flickriver.com/photos/gimar/popular-interesting/ ●https://www.flickr.com/photos/gimar/ ♫ Background Link ♫ ➥http://www.flickr.com/photos/gimar/5401111066/ If you need a song/picture removed on my channel, please e-mail me.- published: 28 Oct 2014
- views: 301
- Lyrics: play full screen play karaoke
- Diptheria - Nation Of Ulysses
Yeah, the road to hell, is paved with chocolate sweets.
Yeah, and candy corn, that's sewn, that's sewn at the side of the streets.
You know that every little morsel, promises, you will be satisfied.
But you know, every pretty wrapper, just holds,...
just holds another little lie.
Yeah, the road to hell winds through a gingerbread town.
And every ounce tells,
(Diptheria)
when every single pound kills,
(Diptheria)
and every loose tooth
(Diptheria)
Shows another wrong move
(Diptheria)
..of the diet...
(Diptheria)
..of denial.
(Denial)
Denial.
Denial.
Sell it uptown, Sell it downtown.
You're losing your pounds, just sleazing your bones.
Gotta,..get a shot from the man.
Got to...
Sell it uptown, Sell it downtown.
You're losing your pounds, just sleazing your bones.
Gotta,..get a shot from the man.
Got to...
Oh, yeah. And every ounce tells,
(Diptheria)
when every single pound kills,
(Diptheria)
and every loose tooth
(Diptheria)
Shows another wrong move
(Diptheria)
..of the diet...
(Diptheria)
..of denial.
(Denial)
Denial.
Denial.
AAAHHHHHH!
Yeah, the road to hell, is paved with chocolate sweets.
Yeah, and candy corn, that's sewn, that's sewn at the side of the streets.
The road to hell winds through a gingerbread town.
It looks real good, tastes real good,
