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|a 9789400700024
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|a Braüner, Torben
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| 245 |
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|a Hybrid Logic and its Proof-Theory
|h Elektronische Ressource
|c by Torben Braüner
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| 250 |
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|a 1st ed. 2011
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 2011, 2011
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| 300 |
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|a XIII, 231 p
|b online resource
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| 505 |
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|a 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
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| 653 |
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|a Mathematical logic
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| 653 |
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|a Logic
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| 653 |
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|a Formal Languages and Automata Theory
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| 653 |
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|a Machine theory
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| 653 |
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|a Mathematical Logic and Foundations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Applied Logic Series
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| 028 |
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|a 10.1007/978-94-007-0002-4
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| 856 |
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|u https://doi.org/10.1007/978-94-007-0002-4?nosfx=y
|x Verlag
|3 Volltext
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|a 160
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| 520 |
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|a 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)
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