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Author, Editor(s)
Author(s):
Waldmann, Uwedblp

BibTeX cite key*:

Waldmann2002bJSC

Title

Title*:

Cancellative Abelian Monoids and Related Structures in Refutational Theorem Proving (Part II)

Journal

Journal Title*:

Journal of Symbolic Computation

Journal's URL:

http://www.elsevier.com/locate/issn/0747-7171

Download URL
for the article:

http://www.idealibrary.com/links/doi/10.1006/jsco.2002.0537

Language:

English

Publisher

Publisher's
Name:

Elsevier

Publisher's URL:

http://www.elsevier.com/

Publisher's
Address:

Amsterdam, the Netherlands

ISSN:

0747-7171

Vol, No, pp, Date

Volume*:

33

Number:

6

Publishing Date:

June 2002

Pages*:

831-861

Number of
VG Pages:

62

Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:

Cancellative superposition is a refutationally complete
calculus for first-order equational theorem proving in the
presence of the axioms of cancellative abelian monoids, and,
optionally, the torsion-freeness axioms. Thanks to strengthened
ordering restrictions, cancellative superposition avoids some
of the inefficiencies of classical AC-superposition calculi.
We show how the efficiency of cancellative superposition can
be further improved by using variable elimination techniques,
leading to a significant reduction of the number of variable
overlaps. In particular, we demonstrate that in divisible
torsion-free abelian groups, variable overlaps, AC-unification
and AC-orderings can be avoided completely.

URL for the Abstract:


Categories,
Keywords:

Theorem Proving, Superposition, Rewriting, Abelian Groups

HyperLinks / References / URLs:

http://www.mpi-sb.mpg.de/~uwe/paper/CAMRS-bibl.html

Copyright Message:


Personal Comments:


Download
Access Level:

Intranet

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort


BibTeX Entry:
@ARTICLE{Waldmann2002bJSC,
AUTHOR = {Waldmann, Uwe},
TITLE = {Cancellative Abelian Monoids and Related Structures in Refutational Theorem Proving ({Part II})},
JOURNAL = {Journal of Symbolic Computation},
PUBLISHER = {Elsevier},
YEAR = {2002},
NUMBER = {6},
VOLUME = {33},
PAGES = {831--861},
ADDRESS = {Amsterdam, the Netherlands},
MONTH = {June},
ISBN = {0747-7171},
}


Entry last modified by Christine Kiesel, 03/12/2010
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Editor(s)
Uwe Waldmann
Created
01/14/2003 05:39:48 PM
Revisions
6.
5.
4.
3.
2.
Editor(s)
Christine Kiesel
Christine Kiesel
Christine Kiesel
Uwe Brahm
Uwe Brahm
Edit Dates
29.07.2003 18:36:09
07.07.2003 15:43:35
07.07.2003 15:41:47
06/09/2003 01:57:58 AM
05/19/2003 01:29:06 PM