#20769: LatticePoset: Orthocomplements, part 1
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       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.3
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/orthocompletion       |  51d4fd0e5ef01b019826b75f1ceb99603586ec18
   Dependencies:                     |     Stopgaps:
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Comment (by kdilks):

 At last, I have time to look at things. Preliminary comments:

 * There should be some sort of definition as to what an orthocomplement
 is.
 * Correction to corner cases has a typo (ortohocomplement).
 * This seems to be assuming that the elements of your poset are the
 integers 1...n . Even if constructing the Hasse diagram ends up assigning
 a labeling to the elements so the code works, it won't be clear to the
 user what the output has to do with their original lattice.
 * Orthocomplementations are only defined on complemented lattices. I'm not
 sure if {{{is_complemented_lattice()}}} exists or is computationally
 feasible (TODO?). At the very least the documentation should indicate that
 the code might be returning the empty list for either reason. Even if a
 check is computationally difficult, it should probably be included with an
 optional parameter to skip checking.

--
Ticket URL: <http://trac.sagemath.org/ticket/20769#comment:9>
Sage <http://www.sagemath.org>
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