On Mar 2, 2006, at 1:57 PM, Alson Kemp wrote:

This doesn't address Bags, Heaps, Finite Relations
or 'cons'able
sequences.
True.

Perhaps my listing was incomplete, in which case this
might fix it:
  Collection
   .Array
* *    .Bag
* *    .FiniteRelations  -- Maps?

Finite Relations are to Finite Maps as Bags are to Sets. Each key can be associated with multiple elements.

* *    .Heap
   .Map
   .Set
   .Tree
     .Binary
     .Rose
  Data
   . ...
   . Int
   . ...

What is an example of a cons-able sequence? (aside
from [])

See http://www.eecs.tufts.edu/~rdocki01/docs/edison/index.html

Edison contains about 8 or 9 different concrete implementations of sequences with varying time complexity for the core operations.


Or, perhaps as a non-math-geared programmer, I've
missed something.  I come at this from "make Haskell
more useful to more programmers" rather than from
"make Haskell a mathematically beautiful language" (I
slept through Discrete Mathematics).  That said, if
you can point me towards a paper, I'd be happy to read
up and try to encompass the "mathematically beautiful"
perspective, too.  (Especially since the proposal will
probably get rejected without a component of
mathematical beauty!  ;) )

I don't know of any papers of the top of my head. I guess I just wanted to point out that the landscape of abstract data structures is wider than "Array, Set, Map".



Rob Dockins

Speak softly and drive a Sherman tank.
Laugh hard; it's a long way to the bank.
          -- TMBG

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