McLean, B. and Mikulás, Szabolcs (2016) The finite representation property for composition, intersection, domain and range. International Journal of Algebra and Computation 26 , p. 1199. ISSN 0218-1967.
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Abstract
We prove that the nite representation property holds for rep- resentation by partial functions for the signature consisting of composition, intersection, domain and range and for any expansion of this signature by the antidomain, xset, preferential union, maximum iterate and opposite opera- tions. The proof shows that, for all these signatures, the size of base required is bounded by a double-exponential function of the size of the algebra. This establishes that representability of nite algebras is decidable for all these signatures. We also give an example of a signature for which the nite repre- sentation property fails to hold for representation by partial functions.
Metadata
| Item Type: | Article |
|---|---|
| Additional Information: | Electronic version of an article. © World Scientific Publishing Company |
| Keyword(s) / Subject(s): | Finite representation property, partial functions, intersection, domain, range |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Szabolcs Mikulas |
| Date Deposited: | 08 Jul 2016 08:56 |
| Last Modified: | 09 Aug 2023 12:38 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/15357 |
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