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<message 
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  from="Jacques Carette &lt;carette@m...&gt;"
  author="Jacques Carette"
  date="2003-11-19T02:57:19"
  subject="Re: Design by Contract, was Re: [Caml-list] GC and file descriptors"
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<thread subject="[Caml-list] GC and file descriptors">
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<msg 
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<msg 
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  url="2003/11/f64182ecc7bbb285e9c25c5b0ca9323b"
  from="Brian Hurt &lt;bhurt@s...&gt;"
  author="Brian Hurt"
  date="2003-11-19T02:26:03"
  subject="Design by Contract, was Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/b3d062d976348aa2b2d87a4f7413f239"
  from="Jacques Carette &lt;carette@m...&gt;"
  author="Jacques Carette"
  date="2003-11-19T02:57:19"
  subject="Re: Design by Contract, was Re: [Caml-list] GC and file descriptors">
</msg>
</msg>
<msg 
  url="2003/11/8a3362cfd5532b02e247e7621e230419"
  from="skaller &lt;skaller@o...&gt;"
  author="skaller"
  date="2003-11-19T14:27:51"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/13cb3d8ea002248514f6e558dd2a3e36"
  from="Martin Berger &lt;martinb@d...&gt;"
  author="Martin Berger"
  date="2003-11-19T14:43:16"
  subject="Re: [Caml-list] GC and file descriptors">
</msg>
</msg>
<msg 
  url="2003/11/24eeca7414b913696c8a08cff82b53e9"
  from="Richard Jones &lt;rich@a...&gt;"
  author="Richard Jones"
  date="2003-11-19T16:54:11"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/d875185cbeb45c60bf69b69aefe16537"
  from="Damien Doligez &lt;damien.doligez@i...&gt;"
  author="Damien Doligez"
  date="2003-11-19T17:18:13"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/5605d0ab6ed57e5fb3a748efd37ad66a"
  from="Richard Jones &lt;rich@a...&gt;"
  author="Richard Jones"
  date="2003-11-19T21:45:06"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/c17081509d394ca21766e84f62f3f830"
  from="Benjamin Geer &lt;ben@s...&gt;"
  author="Benjamin Geer"
  date="2003-11-19T23:10:04"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/788a2c28afa9e9bc3bcf18dd0c33d1ab"
  from="Nicolas Cannasse &lt;warplayer@f...&gt;"
  author="Nicolas Cannasse"
  date="2003-11-20T00:56:51"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/f5b0e699d56b25234213fa5e05a7f3cb"
  from="Benjamin Geer &lt;ben@s...&gt;"
  author="Benjamin Geer"
  date="2003-11-20T09:42:33"
  subject="Re: [Caml-list] GC and file descriptors">
</msg>
</msg>
</msg>
</msg>
</msg>
<msg 
  url="2003/11/0c2873b11bfce0b4930b5fb67c57e094"
  from="Martin Berger &lt;martinb@d...&gt;"
  author="Martin Berger"
  date="2003-11-19T18:03:34"
  subject="Re: [Caml-list] GC and file descriptors">
</msg>
</msg>
</msg>
</msg>
</msg>
<msg 
  url="2003/11/db16d06e7da03770e3a7746d4c558b49"
  from="Brian Hurt &lt;bhurt@s...&gt;"
  author="Brian Hurt"
  date="2003-11-18T21:24:05"
  subject="Re: [Caml-list] GC and file descriptors">
<msg 
  url="2003/11/690c4fcd19c29e88b0d6e2472aa032f5"
  from="skaller &lt;skaller@o...&gt;"
  author="skaller"
  date="2003-11-19T14:01:35"
  subject="Re: [Caml-list] GC and file descriptors">
</msg>
</msg>
</msg>
</msg>
<msg 
  url="2003/11/db0d9c3e2f8bd31fba3e04524605334f"
  from="John J Lee &lt;jjl@p...&gt;"
  author="John J Lee"
  date="2003-11-17T22:38:11"
  subject="OCaml popularity [was: Re: [Caml-list] GC and file...]">
</msg>
<msg 
  url="2003/11/4e363c2f0874bf81db3c9a6051a5ad48"
  from="Jed Davis &lt;jdev@p...&gt;"
  author="Jed Davis"
  date="2003-11-18T20:45:09"
  subject="[Caml-list] Re: GC and file descriptors">
</msg>
</msg>
</msg>
</msg>
</msg>
</msg>
</msg>
</msg>
</msg>
</msg>
<msg 
  url="2003/11/7de0105b14c8ebdd22c349246625930a"
  from="Nicolas George &lt;nicolas.george@e...&gt;"
  author="Nicolas George"
  date="2003-11-13T01:20:05"
  subject="Re: [Caml-list] GC and file descriptors">
</msg>
<msg 
  url="2003/11/f85e65bf7ad498b59e1d3d5df9b95d53"
  from="Mikael Brockman &lt;phubuh@p...&gt;"
  author="Mikael Brockman"
  date="2003-11-13T20:19:02"
  subject="Re: [Caml-list] GC and file descriptors">
</msg>
</msg>
</thread>

<contents>
About contracts and dependent types: of course full dependent types are undecidable, but those are rarely needed?  On 
the other hand, linear constraints over the integers are often needed, AND are not only fully decidable, there are 
both nice complexity results as well as practical algorithms [not both together :-( yet].

What puzzles me is that some decidable subset of dependent types is not part of any 'real' programming language (like 
Ocaml or Haskell).  

Certainly the Array code just posted is a nice example where having dependent types with only linear constraints over 
the integers as the 'extra' power is enough to resolve everything.  In fact, it seems that almost all examples of 
dependent types that I have seen in the type theory litterature are of this kind; counter-examples typically use 
polynomial constraints, which are undecidable in general.

Or am I missing something obvious that makes this much harder than it seems?

Jacques
  

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</contents>

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