--- Ketil Malde wrote:

Christopher Milton writes:

...

I think Haskell can be used to solve several, if not all, of the seven problems.

What's this? Is there an URL with more information?

Sorry, I meant to include the URL, but I got distracted. http://www.claymath.org/Millennium_Prize_Problems/ ===== Christopher Milton cmiltonperl@yahoo.com

--- Keith Wansbrough wrote:

Christopher Milton 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 cmiltonperl@yahoo.com

Or maybe Cryptol with P-logic/Programmatica. --- Christopher Milton wrote:

--- Keith Wansbrough wrote:

...

Christopher Milton 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.