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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Bachmair, Leo
Ganzinger, Harald		dblp
dblp
Editor(s):
Kirchner, Claude
Kirchner, Hélène		dblp
dblp
BibTeX cite key*:
BachmairGanzinger-98-cade
Title, Booktitle
Title*:
Strict Basic Superposition
Booktitle*:
Proceedings of the 15th International Conference on Automated Deduction (CADE-98)
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
Lindau, Germany
Language:
English
Event Date*
(no longer used):
July, 5-10 1998
Organization:
Event Start Date:
1 May 2024
Event End Date:
1 May 2024
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Artificial Intelligence
Volume:
1421
Number:
Month:
July
Pages:
160-174
Year*:
1998
VG Wort Pages:
ISBN/ISSN:
3-540-64675-2
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
In this paper we solve a long-standing open problem
by showing that strict superposition---that is,
superposition without equality factoring---is refutationally complete.
The difficulty of the problem arises from the fact that the strict calculus,
in contrast to the standard calculus with equality factoring,
is not compatible with arbitrary removal of tautologies,
so that the usual techniques for proving the (refutational) completeness
of paramodulation calculi are not directly applicable.
We deal with the problem by introducing a suitable notion
of {\em direct rewrite proof\/} and
modifying proof techniques based on candidate models
and counterexamples in that we define these concepts,
not in terms of semantic truth, but in terms of direct
provability.
We introduce a corresponding concept of redundancy
with which strict superposition is compatible and that
covers most simplification techniques.
HyperLinks / References / URLs:
\hgURL{~hg/pca.html#98CADE.2}
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Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
experts only
Appearance:
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BibTeX Entry:
@INPROCEEDINGS{BachmairGanzinger-98-cade,
AUTHOR = {Bachmair, Leo and Ganzinger, Harald},
 EDITOR = {Kirchner, Claude and Kirchner, H{\'e}l{\`e}ne},
 TITLE = {Strict Basic Superposition},
 BOOKTITLE = {Proceedings of the 15th International Conference on Automated Deduction (CADE-98)},
 PUBLISHER = {Springer},
 YEAR = {1998},
 VOLUME = {1421},
 PAGES = {160--174},
 SERIES = {Lecture Notes in Artificial Intelligence},
 ADDRESS = {Lindau, Germany},
 MONTH = {July},
 ISBN = {3-540-64675-2},
}

Entry last modified by Uwe Brahm, 03/12/2010
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Editor(s)
Andreas Nonnengart		Created
03/30/1999 04:07:07 PM
Revisions
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2.		Editor(s)
Uwe Brahm
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel		Edit Dates
01.04.99 16:54:45
30/03/99 16:16:44
30/03/99 16:14:06
30/03/99 15:56:43
29.03.99 19:21:39