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Author, Editor

Author(s):

Gabbay, Dov M.
Ohlbach, Hans Jürgen

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Editor(s):

Broda, K.

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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

URL of the conference:


URL for downloading the paper:


Event Address*:

London, UK

Language:

English

Event Date*
(no longer used):


Organization:


Event Start Date:

13 November 2019

Event End Date:

13 November 2019

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},
}


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Editor(s)
[Library]
Created
02/06/1995 05:56:20 PM
Revisions
3.
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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