MPI-INF Logo
Publications

Server    halma.mpi-inf.mpg.de

Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Waldmann, Uwedblp
Editor(s):
Bonacina, Maria Paola
Furbach, Ulrich		dblp
dblp
BibTeX cite key*:
Waldmann1997FTP
Title, Booktitle
Title*:
A Superposition Calculus for Divisible Torsion-Free Abelian Groups
Booktitle*:
Proceedings of the International Workshop on First-Order Theorem Proving (FTP-97)
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
Linz, Austria
Language:
English
Event Date*
(no longer used):
October 27-28
Organization:
Event Start Date:
14 May 2024
Event End Date:
14 May 2024
Publisher
Name*:
Johannes Kepler Universität
URL:
Address*:
Linz, Austria
Type:
Extended Abstract
Vol, No, Year, pp.
Series:
RISC-Linz Report Series
Volume:
Number:
97-50
Month:
Pages:
130-134
Year*:
1997
VG Wort Pages:
ISBN/ISSN:
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:
Theorem Proving, Paramodulation, Superposition, Algebra
HyperLinks / References / URLs:
Proceedings: http://www.logic.tuwien.ac.at/FTP97/
Download
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, CCL bibliography



BibTeX Entry:
@INPROCEEDINGS{Waldmann1997FTP,
AUTHOR = {Waldmann, Uwe},
 EDITOR = {Bonacina, Maria Paola and Furbach, Ulrich},
 TITLE = {A Superposition Calculus for Divisible Torsion-Free Abelian Groups},
 BOOKTITLE = {Proceedings of the International Workshop on First-Order Theorem Proving (FTP-97)},
 PUBLISHER = {Johannes Kepler Universität},
 YEAR = {1997},
 TYPE = {Extended Abstract},
 NUMBER = {97-50},
 PAGES = {130--134},
 SERIES = {RISC-Linz Report Series},
 ADDRESS = {Linz, Austria},
}

Entry last modified by Uwe Brahm, 03/12/2010
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
01/07/1998 04:07:32 PM
Revision
1.
0.


Editor
Uwe Brahm
Uwe Waldmann


Edit Date
04/02/98 07:11:18 PM
07/01/98 16:07:33