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On closed sets of relational constraints and classes of functions closed under variable substitutions

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Abstract.

Pippenger’s Galois theory of finite functions and relational constraints is extended to the infinite case. The functions involved are functions of several variables on a set A and taking values in a possibly different set B, where any or both of A and B may be finite or infinite.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Philosophy, University of Tampere, Kalevantie 4, 33014, Tampere, Finland

    Miguel Couceiro

  2. Institute of Mathematics, Tampere University of Technology, PL553, 33101, Tampere, Finland

    Stephan Foldes

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  1. Miguel Couceiro
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  2. Stephan Foldes
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Correspondence to Miguel Couceiro.

Additional information

Received April 30, 2004; accepted in final form February 8, 2005.

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Couceiro, M., Foldes, S. On closed sets of relational constraints and classes of functions closed under variable substitutions. Algebra univers. 54, 149–165 (2005). https://doi.org/10.1007/s00012-005-1933-1

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  • DOI: https://doi.org/10.1007/s00012-005-1933-1

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