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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Bachmair, Leo
Ganzinger, Harald
Stuber, Jürgen		dblp
dblp
dblp
Editor(s):
Astesiano, Egidio
Reggio, Gianna
Tarlecki, Andrzej		dblp
dblp
dblp
BibTeX cite key*:
BachmairGanzingerStuber-95-compass
Title, Booktitle
Title*:
Combining Algebra and Universal Algebra in First-Order Theorem Proving: The Case of Commutative Rings
Booktitle*:
Recent Trends in Data Type Specification. 10th Workshop on Specification of Abstract Data Types Joint with the 5th COMPASS Workshop
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
S. Margherita, Italy
Language:
English
Event Date*
(no longer used):
May/June 1994
Organization:
Event Start Date:
1 May 2024
Event End Date:
1 May 2024
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
906
Number:
Month:
Pages:
1-29
Year*:
1995
VG Wort Pages:
ISBN/ISSN:
3-540-59132-X
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
We present a general approach for integrating certain mathematical structures in first-order equational theorem provers. More specifically, we consider theorem proving problems specified by sets of first-order clauses that contain the axioms of a commutative ring with a unit element. Associative-commutative superposition forms the deductive core of our method, while a convergent rewrite system for commutative rings provides a starting point for more specialized inferences tailored to the given class of formulas. We adopt ideas from the Gr{\"o}bner basis method to show that many inferences of the superposition calculus are redundant. This result is obtained by the judicious application of the simplification techniques afforded by convergent rewriting and by a process called symmetrization that embeds inferences between single clauses and ring axioms.
HyperLinks / References / URLs:
/ftp/pub/guide/staff/hg/papers/misc/compass/compass.dvi.Z
Download
Access Level:

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
experts only
Appearance:
MPII WWW Server, MPG publications list, university publications list, working group publication list, Fachbeirat, CCL bibliography



BibTeX Entry:
@INPROCEEDINGS{BachmairGanzingerStuber-95-compass,
AUTHOR = {Bachmair, Leo and Ganzinger, Harald and Stuber, J{\"u}rgen},
 EDITOR = {Astesiano, Egidio and Reggio, Gianna and Tarlecki, Andrzej},
 TITLE = {Combining Algebra and Universal Algebra in First-Order Theorem Proving: The Case of Commutative Rings},
 BOOKTITLE = {Recent Trends in Data Type Specification. 10th Workshop on Specification of Abstract Data Types Joint with the 5th COMPASS Workshop},
 PUBLISHER = {Springer},
 YEAR = {1995},
 VOLUME = {906},
 PAGES = {1--29},
 SERIES = {Lecture Notes in Computer Science},
 ADDRESS = {S. Margherita, Italy},
 ISBN = {3-540-59132-X},
}

Entry last modified by Christine Kiesel, 03/12/2010
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Editor(s)
Harald Ganzinger		Created
01/22/1995 02:33:00 PM
Revisions
14.
13.
12.
11.
10.		Editor(s)
Christine Kiesel
Christine Kiesel
Uwe Brahm/MPII/DE
Christine Kiesel/AG2/MPII/DE
Christine Kiesel/AG2/MPII/DE		Edit Dates
07/01/97 11:12:03
07/01/97 11:11:27
20.03.96 15:30:30
05/02/96 14:38:47
01/02/96 12:06:42