I'm not knowledgeable enough in type systems to understand the paper, therefore 
I do not know if this email answers anything about your "request for comments".

For what I understand of the current possibilities of GHC, being able to use 
types for ensuring the axioms of algebra (groups, rings and fields) would be a 
great extension. The vector space package on hackage looks like a 
proof-of-concept of the possibilities of GHC's type system, which is obviously 
not suitable for production code.
Such a typeclass (or whatever you call it) replacing Num, Real, etc. would be a 
good thing, in particular for eliminating fortan and matlab from the math 
laboratories ;-)

As a former OCaml programmer, *the* thing that I miss is the exception system. 
I know about the challenge of keeping purity, but a type system redesign could 
be an opportunity to change this (or I did not understand anything, in this 
case please excuse me !).

Cheers,
Pierre-Etienne



El 14/05/2010, a las 08:59, Simon Peyton-Jones escribió:

> Friends
> 
> Many of you will know that I've been muttering about re-engineering GHC's 
> type inference engine for some time now.  Dimitrios, Tom, Martin and I have 
> just completed an epic paper describing the Glorious New Framework that forms 
> the substance of the above mutterings:
>       http://haskell.org/haskellwiki/Simonpj/Talk:OutsideIn
> 
> We'd love comments and feedback. Dimitrios and I plan to roll up our sleeves 
> and implement it in June.
> 
> Simon
> 
> Modular type inference with local assumptions: OutsideIn(X)
> 
> Abstract. Advanced type system features, such as GADTs, type classes, and 
> type families have have proven to be invaluable language extensions for 
> ensuring data invariants and program correctness among others. Unfortunately, 
> they pose a tough problem for type inference, because they introduce local 
> type assumptions.
> 
> In this article we present a novel constraint-based type inference approach 
> for local type assumptions. Our system, called OutsideIn(X), is parameterised 
> over the particular underlying constraint domain X, in the same way as HM(X). 
> This stratification allows us to use a common metatheory and inference 
> algorithm.
> 
> Going beyond the general framework, we also give a particular constraint 
> solver for X = type classes + GADTs + type families, a non-trivial challenge 
> in its own right.
> _______________________________________________
> Haskell-Cafe mailing list
> Haskell-Cafe@haskell.org
> http://www.haskell.org/mailman/listinfo/haskell-cafe

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