The central idea of the np-compete platform is to semantically mark up, with essentially "hand wavy" types of proofs, proofs from the complexity theory literature written in documents that start out as TeX or LaTeX and subsequently get converted into XHTML+MathML. The aim is to find and generate new ideas that might eventually lead to a complete solution of the "P vs. NP" problem.
13. “Of all the Millennium Problems, the P versus NP
problem is the one most likely to be solved by
an “unknown amateur” – someone largely
untrained in mathematics, possibly someone
very young, who is unknown to the
mathematical community.”
Keith Devlin, “The Millennium Problems”
14. “Not only is it relatively easy to understand what
the problem says, it is possible that all it will
take to solve it is one good new idea.”
Keith Devlin, “The Millennium Problems”
15. np-compete will be a framework to
aggregate every new “N vs. NP”
solution idea that’s out there
29. Although there are many proofs
that √2 ≠ p/q, they generally
follow one of just a handful of
proof patterns
30. The central idea of the np-compete
platform is to semantically mark
up complete and rigorous proofs
with essentially hand wavy types
of proofs with the aim of finding
new ideas
31. Mathematicians talk in TeX or
LaTeX so this will be our input
Anyone will be able to submit
solutions
32. Proof by TeX
“The proof is typeset using TeX or LaTeX,
preferably using one of the AMS or ACM
stylesheets. When laid out so professionally, it
can't possibly have any flaws.”
http://uncyclopedia.wikia.com/wiki/Proof CC-BY-NC-SA
33. np-compete will take a proposed
“P vs. NP” solution written in TeX,
convert this source file into
XHTML+MathML and allow users
to annotate proof structures in
the document with RDFa
34. Think of it as massively
collaborative peer-review and
idea generation
35. Get involved!
The project needs people like you:
UI Designers
Semantic Web Experts
Java Hackers
Database Gurus
...
36. np-compete
See you at Science Hack Day 2010
http://sciencehackday.pbworks.com/
Me:
Blog: http://www.danhagon.me.uk/blog/
Twitter: @axiomsofchoice
With thanks to @leipie for the initial collaboration at HackCamp 2010 and
Cameron Neylon for discussions and slide template