Unified Foundations of Team Semantics via Semirings

Timon Barlag, Miika Hannula, Juha Kontinen, Nina Pardal, Jonni Virtema

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

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 languageEnglish
Title of host publicationProceedings of the 20th International Conference on Principles of Knowledge Representation and Reasoning
EditorsPierre Marquis, Tran Cao Son, Gabriele Kern-Isberner
PublisherIJCAI Organization
Pages75-85
Number of pages11
ISBN (Print)9781956792027
DOIs
Publication statusPublished - 2 Sep 2023
Externally publishedYes
Event20th International Conference on Principles of Knowledge Representation and Reasoning - Rhodes, Greece
Duration: 2 Sep 20238 Sep 2023
Conference number: 20

Publication series

NameInternational Conference on Principles of Knowledge Representation and Reasoning
PublisherIJCAI Organization
Volume2023
ISSN (Print)2334-1033

Conference

Conference20th International Conference on Principles of Knowledge Representation and Reasoning
Abbreviated titleKR-2023
Country/TerritoryGreece
CityRhodes
Period2/09/238/09/23

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