Polynomial functions over bounded distributive lattices

Details Polynomial functions over bounded distributive lattices Polynomial functions over bounded distributive lattices

2009-01-30

arxiv.org/abs/0901.4888v3

Journal of Multiple-Valued Logic and Soft Computing 18 (3-4) (2012) 247-256

Mathematics

Rings and Algebras

Scientific paper

Let L be a bounded distributive lattice. We give several characterizations of
those L^n --> L mappings that are polynomial functions, i.e., functions which
can be obtained from projections and constant functions using binary joins and
meets. Moreover, we discuss the disjunctive normal form representations of
these polynomial functions.

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