000 03037nam a22004815i 4500
001 978-94-007-0002-4
003 DE-He213
005 20140220083827.0
007 cr nn 008mamaa
008 101117s2011 ne | s |||| 0|eng d
020 _a9789400700024
_9978-94-007-0002-4
024 7 _a10.1007/978-94-007-0002-4
_2doi
050 4 _aBC1-199
072 7 _aHPL
_2bicssc
072 7 _aPHI011000
_2bisacsh
082 0 4 _a160
_223
100 1 _aBraüner, Torben.
_eauthor.
245 1 0 _aHybrid Logic and its Proof-Theory
_h[electronic resource] /
_cby Torben Braüner.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2011.
300 _aXIII, 231 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Logic Series,
_x1386-2790 ;
_v37
505 0 _aPreface, -- 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.
520 _aThis 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).
650 0 _aPhilosophy (General).
650 0 _aLogic.
650 0 _aComputer science.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aPhilosophy.
650 2 4 _aLogic.
650 2 4 _aMathematical Logic and Formal Languages.
650 2 4 _aMathematical Logic and Foundations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400700017
830 0 _aApplied Logic Series,
_x1386-2790 ;
_v37
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-0002-4
912 _aZDB-2-SMA
999 _c109171
_d109171