A Probabilistic Doxastic Temporal Logic for Reasoning about Beliefs in Multi-agent Systems

Karsten Martiny; Ralf Möller

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Paper

A Probabilistic Doxastic Temporal Logic for Reasoning about Beliefs in Multi-agent Systems

Topics: Knowledge Representation and Reasoning; Knowledge-Based Systems; Multi-Agent Systems; Uncertainty in AI

In Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART, 277-284, 2015 , Lisbon, Portugal

Authors: Karsten Martiny ¹ and Ralf Möller ²

Affiliations: ¹ Hamburg University of Technology, Germany ; ² University of Lübeck, Germany

Keyword(s): Multi-agent Systems, Epistemic Logic, Doxastic Logic, Dynamic Belief Change.

Related Ontology Subjects/Areas/Topics: Agents ; Artificial Intelligence ; Artificial Intelligence and Decision Support Systems ; Distributed and Mobile Software Systems ; Enterprise Information Systems ; Knowledge Engineering and Ontology Development ; Knowledge Representation and Reasoning ; Knowledge-Based Systems ; Multi-Agent Systems ; Software Engineering ; Symbolic Systems ; Uncertainty in AI

Abstract: We present Probabilistic Doxastic Temporal (PDT) Logic, a formalism to represent and reason about probabilistic beliefs and their evolution in multi-agent systems. It can quantify beliefs through probability intervals and incorporates the concepts of frequency functions and epistemic actions. We provide an appropriate semantics for PDT and show how agents can update their beliefs with respect to their observations.

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Paper citation in several formats:

Martiny, K. and Möller, R. (2015). A Probabilistic Doxastic Temporal Logic for Reasoning about Beliefs in Multi-agent Systems. In Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART; ISBN 978-989-758-074-1; ISSN 2184-433X, SciTePress, pages 277-284. DOI: 10.5220/0005178802770284

@conference{icaart15,
author={Karsten Martiny. and Ralf Möller.},
title={A Probabilistic Doxastic Temporal Logic for Reasoning about Beliefs in Multi-agent Systems},
booktitle={Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART},
year={2015},
pages={277-284},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005178802770284},
isbn={978-989-758-074-1},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART
TI - A Probabilistic Doxastic Temporal Logic for Reasoning about Beliefs in Multi-agent Systems
SN - 978-989-758-074-1
IS - 2184-433X
AU - Martiny, K.
AU - Möller, R.
PY - 2015
SP - 277
EP - 284
DO - 10.5220/0005178802770284
PB - SciTePress