Abstract
Semiring semantics for first-order logic provides a way to trace how facts represented by a model are used to deduce satisfaction of a formula. Team semantics is a framework for studying logics of dependence and independence in diverse contexts such as databases, quantum mechanics, and statistics by extending first-order logic with atoms that describe dependencies between variables. Combining these two, we propose a unifying approach for analysing the concepts of dependence and independence via a novel semiring team semantics, which subsumes all the previously considered variants for first-order team semantics. In particular, we study the preservation of satisfaction of dependencies and formulae between different semirings. In addition we create links to reasoning tasks such as provenance, counting, and repairs.
Original language | English |
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Title of host publication | Proceedings of the 20th International Conference on Principles of Knowledge Representation and Reasoning |
Editors | Pierre Marquis, Tran Cao Son, Gabriele Kern-Isberner |
Publisher | IJCAI Organization |
Pages | 75-85 |
Number of pages | 11 |
ISBN (Print) | 9781956792027 |
DOIs | |
Publication status | Published - 2 Sep 2023 |
Externally published | Yes |
Event | 20th International Conference on Principles of Knowledge Representation and Reasoning - Rhodes, Greece Duration: 2 Sep 2023 → 8 Sep 2023 Conference number: 20 |
Publication series
Name | International Conference on Principles of Knowledge Representation and Reasoning |
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Publisher | IJCAI Organization |
Volume | 2023 |
ISSN (Print) | 2334-1033 |
Conference
Conference | 20th International Conference on Principles of Knowledge Representation and Reasoning |
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Abbreviated title | KR-2023 |
Country/Territory | Greece |
City | Rhodes |
Period | 2/09/23 → 8/09/23 |