Closed classes of functions, generalized constraints and clusters

Details Closed classes of functions, generalized constraints and clusters Closed classes of functions, generalized constraints and clusters

2008-10-17

arxiv.org/abs/0810.3212v1

Mathematics

Rings and Algebras

21 pages

Scientific paper

Classes of functions of several variables on arbitrary non-empty domains that are closed under permutation of variables and addition of dummy variables are characterized in terms of generalized constraints, and hereby Hellerstein's Galois theory of functions and generalized constraints is extended to infinite domains. Furthermore, classes of operations on arbitrary non-empty domains that are closed under permutation of variables, addition of dummy variables and composition are characterized in terms of clusters, and a Galois connection is established between operations and clusters.

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