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Finite algebras of relations are representable on finite sets

Published online by Cambridge University Press:  12 March 2014

H. Andréka ,
I. Hodkinson  and
I. Németi
H. Andréka
Affiliation:
Mathematical Institute of Hungarian Academy of Sciences, PF. 127, 1364 Budapest, Hungary
I. Hodkinson
Affiliation:
Department of Computing, Imperial College, 180 Queen's Gate, London SW7 2BZ, UK
I. Németi
Affiliation:
Mathematical Institute of Hungarian Academy of Sciences, PF. 127, 1364 Budapest, Hungary
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Abstract

Using a combinatorial theorem of Herwig on extending partial isomorphisms of relational structures, we give a simple proof that certain classes of algebras, including Crs, polyadic Crs, and WA, have the ‘finite base property’ and have decidable universal theories, and that any finite algebra in each class is representable on a finite set.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 1 , March 1999 , pp. 243 - 267
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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