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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Eisinger, Norbert
Ohlbach, Hans Jürgen
dblp
dblp
Editor(s):
Gabbay, Dov M.
Hogger, C. J.
Robinson, J. A.
dblp
dblp
dblp
BibTeX cite key*:
EisingerOhlbach93
Title, Booktitle
Title*:
Deduction Systems Based on Resolution
Booktitle*:
Handbook of Logic in Artificial Intelligence and Logic Programming
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
?
Language:
English
Event Date*
(no longer used):
?
Organization:
Event Start Date:
15 May 2024
Event End Date:
15 May 2024
Publisher
Name*:
Oxford University Press
URL:
Address*:
Oxford, UK
Type:
Vol, No, Year, pp.
Series:
Volume:
I, Logical Foundations
Number:
Month:
Pages:
184-271
Year*:
1993
VG Wort Pages:
ISBN/ISSN:
0-19-853745-X
Sequence Number:
DOI:
Note, Abstract, ©
Note:
Also available as Research Report MPI-I-91-217
(LaTeX) Abstract:
A general theory of deduction systems is presented. The theory is illustrated with deduction systems based on the resolution calculus, in particular with clause graphs. This theory distinguishes four constituents of a deduction system: \begin{itemize} \item the logic, which establishes a notion of semantic entailment; \item the calculus, whose rules of inference provide the syntactic counterpart of entailment; \item the logical state transition system, which determines the representation of formulae or sets of formulae together with their interrelationships, and also may allow additional operations reducing the search space; \item the control, which comprises the criteria used to choose the most promising from among all applicable inference steps. \end{itemize} Much of the standard material on resolution is presented in this framework. For the last two levels many alternatives are discussed. Appropriately adjusted notions of soundness, completeness, confluence, and Noetherianness are introduced in order to characterize the properties of particular deduction systems. For more complex deduction systems, where logical and topological phenomena interleave, such properties can be far from obvious.
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Access Level:
Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
experts only
Appearance:
BibTeX Entry:
@INPROCEEDINGS
{
EisingerOhlbach93
,
AUTHOR = {Eisinger, Norbert and Ohlbach, Hans J{\"u}rgen},
EDITOR = {Gabbay, Dov M. and Hogger, C. J. and Robinson, J. A.},
TITLE = {Deduction Systems Based on Resolution},
BOOKTITLE = {Handbook of Logic in Artificial Intelligence and Logic Programming},
PUBLISHER = {Oxford University Press},
YEAR = {1993},
VOLUME = {I, Logical Foundations},
PAGES = {184--271},
ADDRESS = {?},
ISBN = {0-19-853745-X},
}
Entry last modified by Christine Kiesel, 03/12/2010
Edit History (please click the blue arrow to see the details)
Edit History (please click the blue arrow to see the details)
Editor(s)
Hans Jürgen Ohlbach
Created
02/06/1995 05:56:20 PM
Revisions
7.
6.
5.
4.
3.
Editor(s)
Christine Kiesel
Christine Kiesel
Uwe Brahm/MPII/DE
Hans Jürgen Ohlbach/AG2/MPII/DE
Hans Jürgen Ohlbach/AG2/MPII/DE
Edit Dates
28.08.2001 08:37:32
28.08.2001 08:36:51
10/02/95 17:19:42
31/01/95 15:25:56
31/01/95 15:22:41