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Mathematical Problems from Applied Logic II: Logics for the XXIst Century

Dov M. Gabbay, Sergei S. Goncharov, and Michael Zakharyaschev, editors
Publisher: 
Springer Verlag
Publication Date: 
2007
Number of Pages: 
351
Format: 
Hardcover
Series: 
International Mathematical Series 5
Price: 
179.00
ISBN: 
9780387692449
Category: 
Anthology
We do not plan to review this book.

 On Two Models of Provability: Provability Logic, Logic of Proofs.- Directions for Computability Theory Beyond Pure Mathematical: Motivations, Directions, Progress So Far And How One Might Go From Here.- Computability and Computable Models: Preliminaries, Bounds for Computable Models, Structure Complexity of Computable Models, Isomorphism Problem, Classes of Computable Models and Index Sets.- First-order Logic Foundation of Relativity Theories: Introduction (Logic and Spacetime Geometry), More Concrete Introduction (Foundation of Spacetime), Intriguing Features of GR Spacetimes (Challenges for the Logician), A FOL Axiom System of SR Extended with Accelerated Observers, One Step toward GR (Effect of Gravitation on Clocks), Questions, Suggestions for Future Research.- Beyond Hybrid Systems: Digital Programs, Continuous Plants and Controllers, Hybrid Systems, Discretization, Continualization, Methodology.- Region-Based Theory of Space: Algebras of Regions, Representation Theory, and Logics: Historical Excursion in the Region-Based Theory of Space, Algebras of Regions, Models, and Representation Theory, Region-Based Propositional Modal Logics of Space.

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