Dynamic Term-Modal Logic for Epistemic Social Network Dynamics

Andrés Occhipinti Liberman; Rasmus K. Rendsvig

doi:10.1007/978-3-662-60292-8_13

Dynamic Term-Modal Logic for Epistemic Social Network Dynamics

Andrés Occhipinti Liberman, Rasmus K. Rendsvig

Department of Communication

2 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Logic, Rationality, and Interaction. LORI 2019.
Number of pages	15
Volume	11813
Publisher	Springer
Publication date	2019
Pages	168-182
ISBN (Print)	9783662602911
DOIs	https://doi.org/10.1007/978-3-662-60292-8_13
Publication status	Published - 2019

Series	Lecture Notes in Computer Science
ISSN	0302-9743

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AB - 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.

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M3 - Book chapter

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SP - 168

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BT - Logic, Rationality, and Interaction. LORI 2019.

PB - Springer

ER -

Dynamic Term-Modal Logic for Epistemic Social Network Dynamics

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