[racket] How to read procedure documentation?

Can someone recommend a good book on type systems?  Is "The Little MLer" a
good place to start and can you do this book with typed Racket rather than
ML.

Thanks,
Harry Spier


On Fri, Apr 19, 2013 at 5:27 PM, Matthias Felleisen <matthias at ccs.neu.edu>wrote:

>
> On Apr 19, 2013, at 4:02 PM, Manfred Lotz wrote:
>
> > But it is more powerful.
>
>
> [[ This is a quibble that could take you off your chosen path for years.
> The words 'more powerful' aren't that easy to agree with. Here are ways
> to make them incorrect:
>   -- in a sound type system, the type signature f : int -> int means that
>         when you launch your program, f will never, ever be applied to a
>         bit string that represents a boolean. Our contract cannot guarantee
>         this much. It will only guarantee that when f is applied to #true,
>         an exn:fail:contract is signaled.
>   -- our contract system has a really hard time expressions g : ∀ t : t ->
> t.
>         In a sound type system, assigning this forall type to g means that
> for
>         all possible types T in your module or types in modules linked to
> yours,
>         possibly written in the distant future, the function assumes
> signature
>         T -> T. If you equip g with an analogous contract in our world, the
>         guarantee you get is that if g tries to misbehave -- by probing the
>         given argument, it (g) will not behave as you expect.
>   -- and lastly, you can easily imagine that proof systems can answer much
>         more complex questions than Turing machines, and that you can
> design
>         a type system that corresponds to such a proof system. Of course,
> you
>         would then not necessarily use algorithms to check your type
> correctness.
> As I said, studying this question may take you off the beaten track, but I
> think
> people on this mailing list should be as informed as people on the Haskell
> or
> ML lists. ]]
>
>
>
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