Hybrid Logic and its Proof-Theory

Hybrid Logic and its Proof-Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 240
Release :
ISBN-10 : 9789400700024
ISBN-13 : 9400700024
Rating : 4/5 (024 Downloads)

Book Synopsis Hybrid Logic and its Proof-Theory by : Torben Braüner

Download or read book Hybrid Logic and its Proof-Theory written by Torben Braüner and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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