IMIST


Hybrid logic and its proof-theory (notice n° 9108)

000 -LEADER
fixed length control field 02887cam a2200277' 4500
001 - CONTROL NUMBER
control field UNI0000346
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161123114819.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140918s2011 ne a b 001 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789400700017
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9400700016
040 ## - CATALOGING SOURCE
Modifying agency IMIST
Description conventions rda
040 ## - CATALOGING SOURCE
Original cataloging agency BTCTA
Description conventions rda
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA9.54
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.3
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Braüner, Torben.
245 #0 - TITLE STATEMENT
Title Hybrid logic and its proof-theory
Statement of responsibility, etc by Torben Braüner.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Dordrecht
-- New York
Name of publisher, distributor, etc Springer.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Date of publication, distribution, etc c2011.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 231 pages
Other physical details illustrations
Dimensions 24 cm.
490 1# - SERIES STATEMENT
Series statement Applied logic series,
Volume number/sequential designation v. 37.
International Standard Serial Number 1386-2790
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (p. 221-228) and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction to hybrid logic. Informal motivation ; Formal syntax and semantics ; The origin of hybrid logic in prior's work ; The development since prior -- Proof-theory of propositional hybrid logic. The basics of natural deduction systems ; Natural deduction for propositional hybrid logic ; The basics of Gentzen systems ; Gentzen systems for propositional hybrid logic ; Axiom systems for propositional hybrid logic -- Tableaus and decision procedures for hybrid logic. The basics of tableau systems ; A tableau system including the universal modality ; The tableau systems reformulated as Gentzen systems ; Discussion -- Comparison to Seligman's natural deduction system. The natural deduction systems under consideration ; Translation from Seligman-style derivations ; Translation to Seligman-style derivations ; Reduction rules ; Discussion -- Functional completeness for a hybrid logic. The natural deduction system under consideration ; Introduction to functional completeness ; The general rule schemas ; Functional completeness ; Discussion -- First-order hybrid logic. Introduction to first-order hybrid logic ; Natural deduction for first-order hybrid logic ; Axiom systems for first-order hybrid logic -- Intentional first-order hybrid logic. Introduction to intensional first-order hybrid logic ; Natural deduction for intensional first-order hybrid logic ; Partial intensions -- Intuitionistic hybrid logic. Introduction to intuitionistic hybrid logic ; Natural deduction for intuitionistic hybrid logic ; Axiom systems for intuitionistic hybrid logic ; Axiom systems for a paraconsistent hybrid logic ; A Curry-Howard interpretation of intuitionistic hybrid logic -- Labelled versus internalized natural deduction. A labelled natural deduction system for modal logic ; The internalization translation ; Reductions ; Comparison of reductions -- Why does the proof-theory of hybrid logic behave so well?. The success criteria ; Why hybrid-logical proof-theory behaves so well ; Comparison to internalization of bivalent semantics ; Some concluding philosophical remarks.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Proof theory
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Logic, Symbolic and mathematical
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