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Author, Editor

Author(s):

Bachmair, Leo
Ganzinger, Harald

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Editor(s):

Kirchner, Claude
Kirchner, Hélène

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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

URL of the conference:


URL for downloading the paper:


Event Address*:

Lindau, Germany

Language:

English

Event Date*
(no longer used):

July, 5-10 1998

Organization:


Event Start Date:

15 September 2019

Event End Date:

15 September 2019

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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Access Level:


Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Programming Logics Group

Audience:

experts only

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat



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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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