Belnap-Dunn logic and query answering in inconsistent databases with null values
Autor: | Middelburg, C. A. |
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Rok vydání: | 2023 |
Předmět: | |
Zdroj: | Scientific Annals of Computer Science vol. 33(2):159-192 (2023) |
Druh dokumentu: | Working Paper |
DOI: | 10.7561/SACS.2023.2.159 |
Popis: | This paper concerns an expansion of first-order Belnap-Dunn logic, named $\mathrm{BD}^{\supset,\mathsf{F}}$, and an application of this logic in the area of relational database theory. The notion of a relational database, the notion of a query applicable to a relational database, and several notions of an answer to a query with respect to a relational database are considered from the perspective of this logic, taking into account that a database may be an inconsistent database or a database with null values. The chosen perspective enables among other things the definition of a notion of a consistent answer to a query with respect to a possibly inconsistent database without resort to database repairs. For each of the notions of an answer considered, being an answer to a query with respect to a database of the kind considered is decidable. Comment: 26 pages; revision of v1, presentation improved at several places and DOIs added to the papers in the references. arXiv admin note: text overlap with arXiv:2301.10555 |
Databáze: | arXiv |
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