promoting interaction between people working in all aspects of logic in the country.
Zhu Rui, Datang Hydropower Plant, Chengguan Town, Shaanxi Province, China
Title of the paper: Arbitrary Announcements in Social Networks: A Finitary Proof System
Abstract: Social Announcement Logic (SAL) is a framework for reasoning about
belief diffusion in social networks, where information propagates locally based
on an underlying follower structure. A key challenge in this area is to logically
characterize what agents can achieve through communication, a problem often
addressed using powerful but complex arbitrary announcement operators. Pre-
vious work on SAL with such operators resulted in infinitary axiomatizations,
leaving the question of a finitary system open.
This paper solves this open problem by presenting the first finitary, sound,
and weakly complete axiomatization for a Social Announcement Logic with an
arbitrary sincere announcement operator. Our central technical innovation is a
novel, two-stage model transformation technique used to prove the soundness of
the crucial discharge rule for arbitrary announcements. This method avoids the
complex necessity-form techniques common in the literature on Arbitrary Pub-
lic Announcement Logic, resulting in a more direct, Henkin-style completeness
proof. Furthermore, we analyze the expressive power of our logic, showing that
the fundamental follower relation becomes definable under the natural semantic
constraint of weak coherence. We provide a sound and complete axiomatization
for this important class of coherent models, highlighting the power of the free
announcement operator introduced in our system. This work provides a robust
and computable proof-theoretic foundation for reasoning about belief dynamics
in social networks.
This paper will be published in the journal Logica Universalis and presented at the 8th UNILOG in Cusco at the 3rd World Logic Prizes Contest
Jean-Yves Beziau, Federal University of Rio de Janeiro
Project
A PRIZE OF LOGIC IN EVERY COUNTRY !