Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop


Show entries of:

this year (2019) | last year (2018) | two years ago (2017) | Notes URL

Action:

login to update

Options:








Author, Editor

Author(s):

Waldmann, Uwe

dblp



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

URL of the conference:

http://aida.intellektik.informatik.th-darmstadt.de/~cade-15/

URL for downloading the paper:


Event Address*:

Lindau, Germany

Language:

English

Event Date*
(no longer used):

July, 5 - 10 1998

Organization:


Event Start Date:

20 October 2019

Event End Date:

20 October 2019

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:

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{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, 03/12/2010
Show details for Edit History (please click the blue arrow to see the details)Edit History (please click the blue arrow to see the details)
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
07/27/1998 11:27:03 PM
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