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Author, Editor

Author(s):

Waldmann, Uwe

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Editor(s):

Bonacina, Maria Paola
Furbach, Ulrich

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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

URL of the conference:


URL for downloading the paper:


Event Address*:

Linz, Austria

Language:

English

Event Date*
(no longer used):

October 27-28

Organization:


Event Start Date:

8 December 2019

Event End Date:

8 December 2019

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
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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