Buch, Englisch, 231 Seiten, Format (B × H): 167 mm x 242 mm, Gewicht: 1160 g
Reihe: Applied Logic Series
Buch, Englisch, 231 Seiten, Format (B × H): 167 mm x 242 mm, Gewicht: 1160 g
Reihe: Applied Logic Series
ISBN: 978-94-007-0001-7
Verlag: Springer
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).
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Preface,.- 1 Introduction to Hybrid Logic.- 2 Proof-Theory of Propositional Hybrid Logic.- 3 Tableaus and Decision Procedures for Hybrid Logic.- 4 Comparison to Seligman’s Natural Deduction System.- 5 Functional Completeness for a Hybrid Logic.- 6 First-Order Hybrid.- 7 Intensional First-Order Hybrid Logic.- 8 Intuitionistic Hybrid Logic.- 9 Labelled Versus Internalized Natural Deduction.- 10 Why does the Proof-Theory of Hybrid Logic Behave soWell? - References.- Index.
