KR2023Proceedings of the 20th International Conference on Principles of Knowledge Representation and ReasoningProceedings of the 20th International Conference on Principles of Knowledge Representation and Reasoning

Rhodes, Greece. September 2-8, 2023.

Edited by

ISSN: 2334-1033
ISBN: 978-1-956792-02-7

Sponsored by
Published by

Copyright © 2023 International Joint Conferences on Artificial Intelligence Organization

Unified Foundations of Team Semantics via Semirings

  1. Timon Barlag(Leibniz Universität Hannover)
  2. Miika Hannula(University of Helsinki)
  3. Juha Kontinen(University of Helsinki)
  4. Nina Pardal(University of Sheffield)
  5. Jonni Virtema(University of Sheffield)


  1. Uncertainty, vagueness, many-valued and fuzzy logics
  2. Computational aspects of knowledge representation
  3. Applications that combine KR with other areas


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.