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Field name	Details
Dewey Class	160
Title	Hybrid Logic and its Proof-Theory ([Ebook]) / by Torben Braüner
Author	Braüner, Torben
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 2011.
Physical Details	XIII, 231 pages : online resource.
Series	Applied Logic Series 1386-2790 ; ; 37
ISBN	9789400700024
Summary Note	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).:
Contents note	Preface, -- 1 Introduction to Hybrid Logic -- 2 Proof-Theory of Propositional Hybrid Logic -- 3 Tableaus and Decision Procedures for Hybrid Logic -- 4 Comparison to Seligmanâs 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-94-007-0002-4
Links to Related Works	Subject References: Computer Science . Logic . Logic, Symbolic and mathematical . Mathematical Logic and Formal Languages . Mathematical Logic and Foundations . Philosophy . Philosophy, general . Authors: Braüner, Torben . Corporate Authors: SpringerLink (Online service) . Series: Applied Logic Series . Classification: 160 . 160 (DDC 23) .

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Hybrid Logic and its Proof-Theory

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