A Modal Logic for the Decision-Theoretic Projection Problem

Gavin Rens; Thomas Meyer; Gerhard Lakemeyer

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Paper

A Modal Logic for the Decision-Theoretic Projection Problem

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

In Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART, 5-16, 2015 , Lisbon, Portugal

Authors: Gavin Rens ¹ ; Thomas Meyer ¹ and Gerhard Lakemeyer ²

Affiliations: ¹ University of KwaZulu-Natal and CSIR Meraka, South Africa ; ² Aachen University, Germany

Keyword(s): Logic, POMDP, Projection, Decision-theory.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Knowledge Representation and Reasoning ; Knowledge-Based Systems ; Symbolic Systems ; Uncertainty in AI

Abstract: We present a decidable logic in which queries can be posed about (i) the degree of belief in a propositional sentence after an arbitrary finite number of actions and observations and (ii) the utility of a finite sequence of actions after a number of actions and observations. Another contribution of this work is that a POMDP model specification is allowed to be partial or incomplete with no restriction on the lack of information specified for the model. The model may even contain information about non-initial beliefs. Essentially, entailment of arbitrary queries (expressible in the language) can be answered. A sound, complete and terminating decision procedure is provided.

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Paper citation in several formats:

Rens, G.; Meyer, T. and Lakemeyer, G. (2015). A Modal Logic for the Decision-Theoretic Projection Problem. 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 5-16. DOI: 10.5220/0005168200050016

@conference{icaart15,
author={Gavin Rens. and Thomas Meyer. and Gerhard Lakemeyer.},
title={A Modal Logic for the Decision-Theoretic Projection Problem},
booktitle={Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART},
year={2015},
pages={5-16},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005168200050016},
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 Modal Logic for the Decision-Theoretic Projection Problem
SN - 978-989-758-074-1
IS - 2184-433X
AU - Rens, G.
AU - Meyer, T.
AU - Lakemeyer, G.
PY - 2015
SP - 5
EP - 16
DO - 10.5220/0005168200050016
PB - SciTePress