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vdash: a formal math wiki

A formal math wiki. Theorem "( a : int ) dvd b = a n dvd b n" proof - assume "a dvd b" show "a n dvd b n" proof ( induct n ) show "a 0 dvd b 0" proof - have "a 0 = 1" by ( rule power 0 ) moreover have "( 1 dvd b 0 )" by ( rule zdvd 1 left) ultimately show? Thesis by simp qed qed qed. What is Formal Math? Why Use a Wiki? Aug 11, 2008). O'Reilly Ignite Boston 4. Sep 11, 2008). For more information, email freer@mit.edu. Or subscribe to the google groups mailing list. This page by Cameron Freer.

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vdash: a formal math wiki | vdash.org Reviews

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A formal math wiki. Theorem ( a : int ) dvd b = a n dvd b n proof - assume a dvd b show a n dvd b n proof ( induct n ) show a 0 dvd b 0 proof - have a 0 = 1 by ( rule power 0 ) moreover have ( 1 dvd b 0 ) by ( rule zdvd 1 left) ultimately show? Thesis by simp qed qed qed. What is Formal Math? Why Use a Wiki? Aug 11, 2008). O'Reilly Ignite Boston 4. Sep 11, 2008). For more information, email freer@mit.edu. Or subscribe to the google groups mailing list. This page by Cameron Freer.

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8 commons

9 math

10 mathematics

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vdash: a formal math wiki | vdash.org Reviews

https://vdash.org

A formal math wiki. Theorem "( a : int ) dvd b = a n dvd b n" proof - assume "a dvd b" show "a n dvd b n" proof ( induct n ) show "a 0 dvd b 0" proof - have "a 0 = 1" by ( rule power 0 ) moreover have "( 1 dvd b 0 )" by ( rule zdvd 1 left) ultimately show? Thesis by simp qed qed qed. What is Formal Math? Why Use a Wiki? Aug 11, 2008). O'Reilly Ignite Boston 4. Sep 11, 2008). For more information, email freer@mit.edu. Or subscribe to the google groups mailing list. This page by Cameron Freer.

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vdash.org

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vdash: Future Directions

http://www.vdash.org/future

Formalize Existing Informal Math. There is a wealth of existing informal mathematics on the web:. Preprint archives such as the ArXiv. And much else (books, journals, preprints on individual home pages, .). In the case of the ArXiv and other LaTeX sources, the arXMLiv. Project may be useful for initial parsing. Translate Existing Formal Math. Large amounts of mathematics have been formalized in many systems, especially Mizar. And not the proofs themselves) between languages. This would preserve certa...

2

vdash: What is Formal Math?

http://www.vdash.org/formal

What is Formal Math? The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules. 8212; Kurt Gödel, "On Formally Undecidable Propositions of Principia Mathematica. And Related Systems I", 1931 (via The QED Manifesto. In the case of some large complicated proofs. And new ways of visualizing and interacting with. Formal Proof — Theory and Practice. Science, 2005),.

3

vdash: Roadmap

http://www.vdash.org/roadmap

Monotone ikiwiki IsarMathLib Isabelle. The initial version of vdash (coming soon) will consist of a distributed revision control system. A wiki interface ( ikiwiki. Initially seeded by content ( IsarMathLib. With a simple script by which the proof assistant ( Isabelle. Approves valid new contributions. Build Content and Community. And Nikos Drakos and Ross Moore. Or for anyone who wants to contribute server time. There are of course serious issues of integrity and trust, but one can imagine an eventu...

4

vdash: What is vdash?

http://www.vdash.org/intro

What if Wikipedia allowed only true statements? Imagine what Wikipedia would be like, if there were a computer on the back-end that could instantly verify every submission, and allowed only true statements to be entered. Something like this is possible in mathematics, though there are many challenges to getting there. In principle, mathematical proofs can be written with all of the details filled in, in a way that a computer can check. Formalized mathematics. Can provide greater certainty. 8212; Alfred N...

5

vdash: Why Use a Wiki?

http://www.vdash.org/whywiki

Why Use a Wiki? Wikis can achieve collaboration at a scale that is difficult to reach via the traditional process of submitting completed documents to an online library. Some libraries of formalized mathematics. Have reached impressive size, but much more is needed if we are to eventually formalize a substantial fraction of modern mathematical knowledge. Notion of a formal proof sketch. May be useful in this regard, and his articles on the formal proof sketch challenge. And eight formal proof sketches.

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Muad`Dib: March 2010

http://muaddibspace.blogspot.com/2010_03_01_archive.html

Why is the derivative of a type a zipper. View my complete profile. Monday, 29 March 2010. 1 − 1 1 − 1 . 1 − 2 4 − 8 . 1 * 2 * 3 * 4 * . = sqrt(2*pi). 2 * 3 * 5 * 7 * . = 4*pi 2. Tuesday, 16 March 2010. Why is the derivative of a type a zipper. Why is the derivative of a regular type its type of one-hole contexts. Let us define a function that counts the elements of a type, () = 1, Void = 0, Either x y = x y , (x,y) = x * y , List A = 0 A A 2 A 3 . (because lists can be [], [a], [a,b], and so on). Http:/...

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Jacob Fenwick: September 2008

http://jacobfenwick.blogspot.com/2008_09_01_archive.html

Follow me as I struggle with rogue technology, insane programmers, and impossible math questions in a battle to the death. Tuesday, September 30, 2008. Vdash - Math wiki of the future? I saw this article on slashdot. A wiki for math proofs being built by Cameron Freer. A postdoc instructor of pure mathematics at MIT. The video of his talk for O'Reilly's Ignite Boston. Sums it up well. Posted by Jacob Fenwick at 6:46 PM. Reset auto increment for a table in MySQL. Posted by Jacob Fenwick at 6:36 PM. On an ...

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Muad`Dib: Algebra System

http://muaddibspace.blogspot.com/2010/03/algebra-system.html

Why is the derivative of a type a zipper. View my complete profile. Sunday, 7 March 2010. I have made a start on this already, al-jabr. Really what I am doing here is just getting my toes wet - What I want to do is:. Algebra hierarchy - build up monoids, groups, fields etc and develop the basic theory of these structures also give concrete implementations of things like integers, reals (isomorphisms with efficient representations would be nice too! Http:/ hlombardi.free.fr/liens/constr.html. Http:/ prove...

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vdash.org

vdash: a formal math wiki

A formal math wiki. Theorem "( a : int ) dvd b = a n dvd b n" proof - assume "a dvd b" show "a n dvd b n" proof ( induct n ) show "a 0 dvd b 0" proof - have "a 0 = 1" by ( rule power 0 ) moreover have "( 1 dvd b 0 )" by ( rule zdvd 1 left) ultimately show? Thesis by simp qed qed qed. What is Formal Math? Why Use a Wiki? Aug 11, 2008). O'Reilly Ignite Boston 4. Sep 11, 2008). For more information, email freer@mit.edu. Or subscribe to the google groups mailing list. This page by Cameron Freer.

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vdash's blog - vdash's blog - Skyrock.com

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