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Hybrid Logic and its Proof-Theory / by Torben Braüner

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Applied Logic Series ; 37 | SpringerLink BücherPublisher: Dordrecht : Springer Netherlands, 2011Description: Online-Ressource (XIII, 231p, digital)ISBN:
  • 9789400700024
Subject(s): Additional physical formats: 9789400700017 | Buchausg. u.d.T.: 978-94-007-0001-7 MSC: MSC: *03B45 | 03B60 | 03F03 | 03-02LOC classification:
  • BC1-199
DOI: DOI: 10.1007/978-94-007-0002-4Online resources: Summary: 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.Summary: 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).PPN: PPN: 1650615981Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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