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We are interested in developing an M2 package for handing posets and order complexes. As a possible starting point, here're links to other packages.

Mathematica: http://www.haverford.edu/math/cgreene/posets.html

Sage: http://www.sagemath.org/hg/sage-main/file/c25e04ebfb67/sage/combinat/posets/

Maple: http://www.math.lsa.umich.edu/~jrs/maple.html

Functions we might want

Functions finished so far

The Floyd-Warshall algorithm could be used to eliminate redundant relations: http://en.wikipedia.org/wiki/Floyd-Warshall_algorithm Or Johnson's: http://en.wikipedia.org/wiki/Johnson%27s_algorithm