MPI-INF Logo
Publications

Server    domino.mpi-inf.mpg.de

Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Waldmann, Uwedblp
Editor(s):
Kirchner, Claude
Kirchner, Hélène
dblp
dblp
BibTeX cite key*:
Waldmann1998
Title, Booktitle
Title*:
Superposition for Divisible Torsion-Free Abelian Groups
Booktitle*:
Proceedings of the 15th International Conference on Automated Deduction (CADE-98)
Event, URLs
Conference URL::
http://aida.intellektik.informatik.th-darmstadt.de/~cade-15/
Downloading URL:
Event Address*:
Lindau, Germany
Language:
English
Event Date*
(no longer used):
July, 5 - 10 1998
Organization:
Event Start Date:
14 April 2021
Event End Date:
14 April 2021
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Artificial Intelligence
Volume:
1421
Number:
Month:
Pages:
144-159
Year*:
1998
VG Wort Pages:
ISBN/ISSN:
3-540-64675-2
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
Variable overlaps are one of the main sources for the inefficiency of AC or ACU theorem proving calculi. In the presence of the axioms of abelian groups or at least cancellative abelian monoids, ordering restrictions allow us to avoid some of these overlaps, but inferences with unshielded variables remain necessary. In divisible torsion-free abelian groups, for instance the rational numbers, every clause can be transformed into an equivalent clause without unshielded variables. We show how such a variable elimination algorithm can be integrated into the cancellative superposition calculus. The resulting calculus is refutationally complete with respect to the axioms of divisible torsion-free abelian groups and allows us to dispense with variable overlaps altogether. If abstractions are performed eagerly, the calculus makes it furthermore possible to avoid the computation of AC unifiers and AC orderings.
Keywords:
first-order theorem proving, paramodulation, superposition, algebra
HyperLinks / References / URLs:
http://link.springer.de/link/service/series/0558/tocs/t1421.htm
Download
Access Level:

Correlation
MPG Unit:
MPG Subunit:
Audience:
experts only
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, CCL bibliography



BibTeX Entry:

@INPROCEEDINGS{Waldmann1998,
AUTHOR = {Waldmann, Uwe},
EDITOR = {Kirchner, Claude and Kirchner, H{\'e}l{\`e}ne},
TITLE = {Superposition for Divisible Torsion-Free Abelian Groups},
BOOKTITLE = {Proceedings of the 15th International Conference on Automated Deduction (CADE-98)},
PUBLISHER = {Springer},
YEAR = {1998},
VOLUME = {1421},
PAGES = {144--159},
SERIES = {Lecture Notes in Artificial Intelligence},
ADDRESS = {Lindau, Germany},
ISBN = {3-540-64675-2},
}


Entry last modified by Uwe Brahm, 11/07/2006
Hide details for Edit History (please click the blue arrow to see the details)Edit History (please click the blue arrow to see the details)

Editor(s)
Uwe Waldmann
Created
11/07/2006 11:46:09 AM
Revisions
3.
2.
1.
0.
Editor(s)
Uwe Brahm
Christine Kiesel
Uwe Brahm
Uwe Waldmann
Edit Dates
01.04.99 16:54:35
30/03/99 16:21:16
29.03.99 19:01:21
27/07/98 23:27:04