| Dewey Class |
160 |
| Titolo |
Hybrid Logic and its Proof-Theory ([Ebook]) / by Torben Braüner |
| Autore |
Braüner, Torben |
| Other name(s) |
SpringerLink (Online service) |
| Pubblicazione |
Dordrecht : Springer Netherlands , 2011. |
| Physical Details |
XIII, 231 pages : online resource. |
| Serie |
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 |
| Link alle Opere Legate |
Riferimenti soggetto: .
Computer Science .
Logic .
Logic, Symbolic and mathematical .
Mathematical Logic and Formal Languages .
Mathematical Logic and Foundations .
Philosophy .
Philosophy, general .
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