#17979: Reimplementation of IntegerListsLex
-------------------------------------+-------------------------------------
       Reporter:  aschilling         |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  blocker            |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:  days64             |    Merged in:
        Authors:  Bryan Gillespie,   |    Reviewers:  Nathann Cohen, Jeroen
  Anne Schilling, Nicolas M. Thiery  |  Demeyer, Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/ticket/17979                |  3a8f47a93266b82928539304ae21212e9885716f
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Replying to [comment:256 aschilling]:
 > When IntegerListsLex is enumerable (i.e. the vectors can be iterated
 over in inverse lex order), then the list is finite. We will explain this
 in the code.

 Oh, actually not quite. Sorry, my bad. I applied Koenig's lemma to
 quick. The equivalence finite <=> inverse lexicographically enumerable
 is almost true, except for extreme cases like:
 {{{
     sage: IntegerListsLex(n=1)
     -> [1], [0,1], [0,0,1] ...
 }}}

 We will think about this a bit more and update the code accordingly.

--
Ticket URL: <http://trac.sagemath.org/ticket/17979#comment:257>
Sage <http://www.sagemath.org>
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