### Logic List Mailing Archive

## new book: "Hybrid Logic and its proof theory"

BOOK ANNOUNCEMENT
Hybrid Logic and its Proof-Theory
by Torben Braner
Applied Logic Series, Vol. 37
Springer, 2011
ISBN 978-94-007-0001-7
* This is the first book-length treatment of hybrid logic and its proof-theory.
Hybrid logic is an extension of ordinary modal logic which allows explicit
reference to individual points in a model (where the points represent times,
possible worlds, states in a computer, or something else). This is useful for
many applications, for example when reasoning about time one often wants to
formulate a series of statements about what happens at specific times.
* There is little consensus about proof-theory for ordinary modal logic. Many
modal-logical proof systems lack important properties and the relationships
between proof systems for different modal logics are often unclear. In the
present book we demonstrate that hybrid-logical proof-theory remedies these
deficiencies by giving a spectrum of well-behaved proof systems (natural
deduction, Gentzen, tableau, and axiom systems) for a spectrum of different
hybrid logics (propositional, first-order, intensional first-order, and
intuitionistic).
* All these proof systems can be motivated independently, but the fact that the
systems can be given in a uniform way shows that hybrid logic and
hybrid-logical proof-theory is a natural enterprise.
* Further information can be found at
http://www.springer.com/philosophy/logic+and+philosophy+of+language/book/978-94-007-0001-7