--- Keith Wansbrough <[EMAIL PROTECTED]> wrote: > Christopher Milton <[EMAIL PROTECTED]> writes: > > I think Haskell can be used to solve several, if not all, of > > the seven problems. > > > > Now I have to decide which problem to tackle first. > > (a joke, I assume...) > > http://www.claymath.org/Millennium_Prize_Problems/ > > 1. Birch and Swinnerton-Dyer Conjecture > 2. Hodge Conjecture > 3. Navier-Stokes Equations > 4. P vs NP > 5. Poincare Conjecture > 6. Riemann Hypothesis > 7. Yang-Mills Theory > > Any ideas how to solve any of these, with Haskell or otherwise?
I was thinking of combining one of the algebra libraries with a theorem prover, and maybe a refactoring tool, then plugging in some of the equations to see what happens, e.g.: James J. Leifer: "Formal logic via functional programming" http://para.inria.fr/~leifer/research.html http://para.inria.fr/~leifer/articles/logic/LogicviaFP.300.ps.gz http://para.inria.fr/~leifer/articles/logic/LogicviaFP.gs Serge Mechveliani: "DoCon the Algebraic Domain Constructor" http://www.haskell.org/docon/ Jeroen Fokker: "Explaining algebraic theory with functional programs" http://www.cs.uu.nl/people/jeroen/article/algebra/index.html Refactoring Functional Programs http://www.cs.kent.ac.uk/projects/refactor-fp/ Yes, it's crazy and naive, but I need to give my brain some exercise. ===== Christopher Milton [EMAIL PROTECTED] _______________________________________________ Haskell-Cafe mailing list [EMAIL PROTECTED] http://www.haskell.org/mailman/listinfo/haskell-cafe
