KR2024Proceedings of the 21st International Conference on Principles of Knowledge Representation and ReasoningProceedings of the 21st International Conference on Principles of Knowledge Representation and Reasoning

Hanoi, Vietnam. November 2-8, 2024.

Edited by
  1. Pierre Marquis,
  2. Magdalena Ortiz
  3. Maurice Pagnucco

ISSN: 2334-1033
ISBN: 978-1-956792-05-8

Sponsored by
Published by

Copyright © 2024 International Joint Conferences on Artificial Intelligence Organization

Qiana: A First-Order Formalism to Quantify over Contexts and Formulas

  1. Simon Coumes(Telecom Paris)
  2. Pierre-Henri Paris(Télécom Paris)
  3. François Schwarzentruber(ENS Rennes)
  4. Fabian M. Suchanek(Télécom Paris)
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BibTeX
https://doi.org/10.24963/kr.2024/28

Keywords

  1. Knowledge compilation, automated reasoning, satisfiability and model counting-General
  2. Reasoning about knowledge, beliefs, and other mental attitudes-General
  3. Knowledge representation languages-General

Abstract

We introduce Qiana, a logic framework for reasoning on formulas that are true only in specific contexts.

In Qiana, it is possible to quantify over both formulas and contexts to express, e.g., that

``everyone knows everything Alice says''.

Qiana also permits paraconsistent logics within contexts, so that contexts can contain contradictions.

Furthermore, Qiana is based on first-order logic, and is finitely axiomatizable, so that Qiana theories are compatible with pre-existing first-order logic theorem provers.