Hybrid Logic and its Proof-Theory (Hardcover, 2011 Ed.)

This book 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. The extra expressive power 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. The present book demonstrates that hybrid-logical proof-theory remedies this lack of uniformity in ordinary modal-logical proof systems. It considers a spectrum of different versions of hybrid logic (propositional, first-order, international first-order, and intuitionist) and of different types of proof-systems for hybrid-logic (natural deduction, Gentzen, tableaux, and axiom systems). All these systems can be motivated independently, but the fact that the systems can be given in a uniform way shows that hybrid logic and hybrid-logical proof theory is a natural enterprise.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Applied Logic Series, 37
Release date:	November 2010
First published:	2011
Authors:	Torben Brauner
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Hardcover
Pages:	231
Edition:	2011 Ed.
ISBN-13:	978-9400700017
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Philosophy > Topics in philosophy > Logic
LSN:	9400700016
Barcode:	9789400700017

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