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＜電子ブック＞
Hybrid Logic and its Proof-Theory / by Torben Braüner
(Applied Logic Series ; 37)

版	1st ed. 2011.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XIII, 231 p : online resource
著者標目	*Braüner, Torben author SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Machine theory LCSH:Mathematical logic FREE:Logic FREE:Formal Languages and Automata Theory FREE:Mathematical Logic and Foundations
一般注記	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 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) HTTP:URL=https://doi.org/10.1007/978-94-007-0002-4

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