TY - BOOK AU - Braüner,Torben ED - SpringerLink (Online service) TI - Hybrid Logic and its Proof-Theory T2 - Applied Logic Series, SN - 9789400700024 AV - BC1-199 U1 - 160 23 PY - 2011/// CY - Dordrecht PB - Springer Netherlands KW - Philosophy (General) KW - Logic KW - Computer science KW - Logic, Symbolic and mathematical KW - Philosophy KW - Mathematical Logic and Formal Languages KW - Mathematical Logic and Foundations N1 - Preface, -- 1 Introduction to Hybrid Logic -- 2 Proof-Theory of Propositional Hybrid Logic -- 3 Tableaus and Decision Procedures for Hybrid Logic -- 4 Comparison to Seligman’s Natural Deduction System -- 5 Functional Completeness for a Hybrid Logic -- 6 First-Order Hybrid -- 7 Intensional First-Order Hybrid Logic -- 8 Intuitionistic Hybrid Logic -- 9 Labelled Versus Internalized Natural Deduction -- 10 Why does the Proof-Theory of Hybrid Logic Behave soWell? - References -- Index N2 - 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) UR - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-94-007-0002-4 ER -