03652nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172082001400181100002800195245017700223264004600400300003500446336002600481337002600507338003900533347002400572490005500596505117500651520082101826650001702647650003802664650001702702650004002719700003702759700003402796710003402830773002002864776003602884830005502920856010302975942001203078999001703090952009903107978-0-387-69245-6DE-He21320260521091932.0cr nn 008mamaa100301s2007 xxu| s |||| 0|eng d a9780387692456 a997803876924567 a10.1007/978-0-387-69245-62doi cCICY04a511.32231 aGabbay, Dov M.eeditor.10aMathematical Problems from Applied Logic IIh[recurso electrónico] :bLogics for the XXIst Century /cedited by Dov M. Gabbay, Michael Zakharyaschev, Sergei S. Goncharov. 1aNew York, NY :bSpringer New York,c2007. aXXIX, 351 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia arecurso en líneabcr2rdacarrier atext filebPDF2rda1 aInternational Mathematical Series,x1571-5485 ;v50 aOn 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. aMathematical Problems from Applied Logic II presents chapters from selected, world renowned, logicians. Important topics of logic are discussed from the point of view of their further development in light of requirements arising from their successful application in areas such as Computer Science and AI language. Fields covered include: logic of provability, applications of computability theory to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space. Contributors include: Sergei Artemov, USA; John Case, USA; Sergei Goncharov, Russia, Judit X. Madarász, István Németi, and Gergely, Székely, Hungary, Anil Nerode, USA and Dimiter Vakarelov, Bulgaria. 0aMATHEMATICS. 0aLOGIC, SYMBOLIC AND MATHEMATICAL.14aMATHEMATICS.24aMATHEMATICAL LOGIC AND FOUNDATIONS.1 aZakharyaschev, Michael.eeditor.1 aGoncharov, Sergei S.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387692449 0aInternational Mathematical Series,x1571-5485 ;v540uhttp://dx.doi.org/10.1007/978-0-387-69245-6zVer el texto completo en las instalaciones del CICY 2ddccER c34044d34044 00102ddc40708LEaCICYbCICYcELd2025-07-10l0o511.3r2025-07-10 08:40:09w2025-07-10yER