Hybrid Logic and its Proof-Theory by Torben Braner
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).-
Logic, Language and Computation
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Labelled Deduction
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Multi-Dimensional Modal Logic
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Frontiers of Combining Systems
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Thirty Five Years of Automating Mathematics
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Foundations of Bayesianism
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Rigid Flexibility
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Reasoning Robots
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A Modern Perspective on Type Theory
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Proof Theory for Fuzzy Logics
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Foundations of Rational Agency
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Goal-Directed Proof Theory
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A Textbook of Belief Dynamics
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New Essays in Free Logic
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The Semantics and Proof Theory of the Logic of Bunched Implications
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Proof Theory of Modal Logic
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Frontiers in Belief Revision
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Advances in Intensional Logic
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Inference on the Low Level
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Fuzzy Sets, Logics and Reasoning about Knowledge
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Automated Model Building
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The Death of Argument
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Dynamic Worlds
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Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications
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An Introduction to Mathematical Logic and Type Theory
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Advances in Temporal Logic
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What is Negation?
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Abduction and Induction
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Intellectics and Computational Logic
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Formal Aspects of Context
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Logical and Computational Aspects of Model-Based Reasoning
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Analysis and Synthesis of Logics
From the reviews:
"..the present book is a coherent, unified, and very readable entity.
Throughout the discussion is clear, informative, and natural. It can be recommended as a book to read, as well as to consult, after a basic exposure to hybrid logics.
The book ends with a somewhat philosophical discussion... I will not try to summarize the author’s points. I will say I enjoyed the discussion. And the book."
Melvin Fitting
The Graduate School and University Center
City University of New York
New York, USA
“This book grew out of nine research papers of the author, two of which are coauthored by T. Bolander and, respectively, V. de Paiva. The papers were converted into harmonically synchronized chapters of the book, which will certainly appeal to the reader … . The book contains lots of corresponding results, covering all important cases. … Undoubtedly, Braüner’s monograph fills a gap in the hybrid logic literature in a desirable way.” (Bernhard Heinemann, Zentralblatt MATH, Vol. 1217, 2011)
| SKU | Unavailable |
| ISBN 13 | 9789400734357 |
| ISBN 10 | 9400734352 |
| Title | Hybrid Logic and its Proof-Theory |
| Author | Torben Braner |
| Series | Applied Logic Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2013-01-02 |
| Number of pages | 231 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |