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Conference paper · Book chapter

Dynamic Term-Modal Logic for Epistemic Social Network Dynamics

From

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

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

University of Copenhagen3

Logics for social networks have been studied in recent literature. This paper presents a framework based on dynamic term-modal logic ((formula presented)), a quantified variant of dynamic epistemic logic ((formula presented)). In contrast with (formula presented) where it is commonly known to whom agent names refer, (formula presented) can represent dynamics with uncertainty about agent identity.

We exemplify dynamics where such uncertainty and de re/de dicto distinctions are key to social network epistemics. Technically, we show that (formula presented) semantics can represent a popular class of hybrid logic epistemic social network models. We also show that (formula presented) can encode previously discussed dynamics for which finding a complete logic was left open.

As complete reduction axioms systems exist for (formula presented), this yields a complete system for the dynamics in question.

Language: English
Publisher: Springer
Year: 2019
Pages: 168-182
Proceedings: 7th International Workshop on Logic, Rationality, and Interaction
Series: Lecture Notes in Computer Science (including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Journal subtitle: 7th International Workshop, Lori 2019, Chongqing, China, October 18–21, 2019, Proceedings
ISBN: 3662602911 , 366260292x , 9783662602911 , 9783662602928 and 366260292X
ISSN: 03029743 and 16113349
Types: Conference paper and Book chapter
DOI: 10.1007/978-3-662-60292-8_13
ORCIDs: 0000-0002-9686-8714

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