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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Gabbay, Dov M.
Ohlbach, Hans Jürgen		dblp
dblp
Editor(s):
Broda, K.dblp
BibTeX cite key*:
GabbayOhlbach92b
Title, Booktitle
Title*:
From a Hilbert Calculus to its Model Theoretic Semantics
Booktitle*:
Proc.~4th Annual UK Conference on Logic Programming (APULK '92)
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
London, UK
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
15 May 2024
Event End Date:
15 May 2024
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Springer Workshops in Computing Series
Volume:
Number:
Month:
Pages:
218-252
Year*:
1992
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
There are different ways of constructing a logic. One possibility is to define a Hilbert calculus, i.e. a kind of grammar that produces all formulae to be considered true. A logic can also be defined by a model theoretic semantics for the logical connectives in the language. In this paper a general theory is presented for the transition from a Hilbert calculus to its model theoretic semantics such that soundness and completeness are automatically guaranteed. For a given Hilbert calculus we start with a general neighbourhood semantics for n-place connectives. This semantics does not impose any built-in properties. A quantifier elimination algorithm is used to translate Hilbert axioms and rules into corresponding semantic properties. By proving certain key lemmas from these semantic properties, neighbourhood semantics can be systematically strengthened up to a version of the semantics which has as many Hilbert axioms built in as possible. The work is still incomplete and will be continued.
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Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
experts only
Appearance:



BibTeX Entry:
@INPROCEEDINGS{GabbayOhlbach92b,
AUTHOR = {Gabbay, Dov M. and Ohlbach, Hans J{\"u}rgen},
 EDITOR = {Broda, K.},
 TITLE = {From a {H}ilbert Calculus to its Model Theoretic Semantics},
 BOOKTITLE = {Proc.~4th Annual UK Conference on Logic Programming (APULK '92)},
 PUBLISHER = {Springer},
 YEAR = {1992},
 PAGES = {218--252},
 SERIES = {Springer Workshops in Computing Series},
 ADDRESS = {London, UK},
}

Entry last modified by Uwe Brahm/MPII/DE, 08/25/2014
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Editor(s)
[Library]		Created
02/06/1995 05:56:20 PM
Revisions
3.
2.
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Editor(s)
Uwe Brahm/MPII/DE
Uwe Brahm/MPII/DE
Uwe Brahm/MPII/DE
Uwe Brahm/MPII/DE
Edit Dates
10/02/95 17:19:54
21/01/95 20:49:45
17/01/95 20:14:52
14/01/95 19:00:53