Dynamic Epistemic Logic is the logic of knowledge change. This
is not about one logical system, but about a whole family of logics
that allows us to specify static and dynamic aspects of multi-agent
systems. This book provides various logics to support such formal
specifications, including proof systems. Concrete examples and
epistemic puzzles enliven the exposition. The book also contains
exercises including answers and is eminently suitable for graduate
courses in logic.
A sweeping chapter-wise outline of the content of this book is
the following. The chapter 'Introduction' informs the reader about
the history of the subject, and its relation to other disciplines.
'Epistemic Logic' is an overview of multi-agent epistemic logic -
the logic of knowledge - including modal operators for groups, such
as general and common knowledge. 'Belief Revision' is an overview
on how to model belief revision, both in the 'traditional' way and
in a dynamic epistemic setting. 'Public Announcements' is a
detailed and comprehensive introduction to the logic of knowledge
to which dynamic operators for truthful public announcement are
added. Many interesting applications are also presented in this
chapter: a form of cryptography for ideal agents also known as 'the
Russian cards problem', the sum-and-product riddle, etc. 'Epistemic
Actions' introduces a generalization of public announcement logic
to more complex epistemic actions. A different perspective on that
matter is independently presented in 'Action Models'.
'Completeness' gives details on the completeness proof for the
logics introduced in 'Epistemic Logic', 'Public Announcements', and
'Action Models'. 'Expressivity' discusses various results on the
expressive power of the logics presented.
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