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A public announcement separation logic

Published online by Cambridge University Press:  15 April 2019

J.R. Courtault ,
H. van Ditmarsch  and
D. Galmiche
J.R. Courtault
Affiliation:
Université de Lorraine, CNRS, LORIA, UMR 7503, Vandoeuvre-lès-Nancy, F-54506, France
H. van Ditmarsch
Affiliation:
Université de Lorraine, CNRS, LORIA, UMR 7503, Vandoeuvre-lès-Nancy, F-54506, France
D. Galmiche*
Affiliation:
Université de Lorraine, CNRS, LORIA, UMR 7503, Vandoeuvre-lès-Nancy, F-54506, France
*
*Corresponding author. Email: Didier.Galmiche@loria.fr
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Abstract

We define a Public Announcement Separation Logic (PASL) that allows us to consider epistemic possible worlds as resources that can be shared or separated, in the spirit of separation logics. After studying its semantics and illustrating its interest for modelling systems, we provide a sound and complete tableau calculus that deals with resource, agent and announcement constraints and give also a countermodel extraction method.

Keywords

Separation logicepistemic logicpublic announcementtableau calculus
Type
Paper
Information
Mathematical Structures in Computer Science , Volume 29 , Issue 6 , June 2019 , pp. 828 - 871
Copyright
© Cambridge University Press 2019 

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