[Om-announce] New book
torben at ruc.dk
Mon Dec 20 16:54:22 CET 2010
Hybrid Logic and its Proof-Theory
by Torben Braüner
Applied Logic Series, Vol. 37
* 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
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