Title
Announcements to Attentive Agents
Abstract
Abstract In public announcement logic it is assumed that all agents pay attention to the announcement. Weaker observational conditions can be modelled in action model logic. In this work, we propose a version of public announcement logic wherein it is encoded in the states of the epistemic model which agents pay attention to the announcement. This logic is called attention-based announcement logic. We give an axiomatization of the logic and prove that complexity of satisfiability is the same as that of public announcement logic, and therefore lower than that of action model logic. An attention-based announcement can also be described as an action model. We extend our logic by integrating attention change. Finally, we add the notion of common belief to the language, we exploit this to formalize the concept of joint attention, that has been widely discussed in the philosophical and cognitive science literature, and we provide a corresponding axiomatization. This axiomatization also employs the auxiliary notion of attention-based relativized common belief.
Year
DOI
Venue
2016
10.1007/s10849-015-9234-3
Journal of Logic, Language and Information
Keywords
Field
DocType
Dynamic epistemic logic,Axiomatization,Satisfiability,Common belief,Collective attention
Joint attention,Satisfiability,Multimodal logic,Dynamic epistemic logic,Exploit,Artificial intelligence,Philosophy of logic,Mathematics
Journal
Volume
Issue
ISSN
25
1
1572-9583
Citations 
PageRank 
References 
4
0.45
14
Authors
6
Name
Order
Citations
PageRank
Thomas Bolander112715.24
Hans P. van Ditmarsch265679.59
Andreas Herzig3989.79
Emiliano Lorini443855.70
Pere Pardo5478.63
François Schwarzentruber617029.05