Hybrid Logic and its Proof-Theory [recurso electrónico] / by Torben Braüner.

Por: Braüner, Torben [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoSeries Applied Logic Series ; 37Editor: Dordrecht : Springer Netherlands, 2011Descripción: XIII, 231 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9789400700024Tema(s): Philosophy (General) | Logic | Computer science | Logic, Symbolic and mathematical | Philosophy | Logic | Mathematical Logic and Formal Languages | Mathematical Logic and FoundationsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 160 Clasificación LoC:BC1-199Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos BC1 -199 (Browse shelf(Abre debajo)) 1 No para préstamo 378192-2001

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).

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