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Conference paper · Book chapter

Parameterized Complexity of Dynamic Belief Updates

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Université de Rennes3

Dynamic Belief Update (DBU) is a model checking problem in Dynamic Epistemic Logic (DEL) concerning the effect of applying a number of epistemic actions on an initial epistemic model. It can also be considered as a plan verification problem in epistemic planning. The problem is known to be PSPACE-hard.

To better understand the source of complexity of the problem, previous research has investigated the complexity of 128 parameterized versions of the problem with parameters such as number of agents and size of actions. The complexity of many parameter combinations has been determined, but previous research left a few combinations as open problems.

In this paper, we solve most of the remaining open problems by proving all of them to be fixed-parameter intractable. Only two parameter combinations are still left as open problem for future research.

Language: English
Publisher: Springer
Year: 2020
Pages: 87-102
Proceedings: 3<sup>rd</sup> International Workshop on Dynamic Logic
Series: Lecture Notes in Computer Science (including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISBN: 3030658392 , 3030658406 , 9783030658397 and 9783030658403
ISSN: 03029743
Types: Conference paper and Book chapter
DOI: 10.1007/978-3-030-65840-3_6
ORCIDs: Bolander, Thomas

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