#19801: LatticePosets: Add pseudocomplements
-------------------------------------+-------------------------------------
       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:  lattice            |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:  Daniel Krenn
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/pseudocomplement      |  aafb86c7212eeeea29e460adaabd6c7884007594
   Dependencies:                     |     Stopgaps:
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Changes (by dkrenn):

 * status:  needs_review => needs_work
 * reviewer:   => Daniel Krenn


Comment:

 Replying to [comment:3 jmantysalo]:
 > Daniel showed some signs of life, hence selected as a possible reviewer.
 `:=)`.

 I had a quick look; here are a first few comments:

 1. Everywhere: I believe the term "maximal element" is wrong; it should be
 "greatest element" (Wikipedia confirms this).

 2. Link to [https://en.wikipedia.org/wiki/Pseudocomplement] in the doc.

 3. `None` vs. raising an exception if pseudocomplement does not exist.
 Although I prefer the exception variant; it seems that `None` seems to be
 the design choice in the poset-files. Am I right? However, this should
 definitely be documented in an OUTPUT-block; so include OUTPUT-blocks.

 4. PEP8: IMHO it should be: `{0: [1, 2], 1: [3], 2: [4], 3: [4]}` (spaces
 after `:`)

 5. `None not in [H.pseudocomplement(e) for e in H]` is inefficient, since
 the full list is created. You can use `all(H.pseudocomplement(e) is not
 None for e in H)` instead.

--
Ticket URL: <http://trac.sagemath.org/ticket/19801#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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