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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Bachmair, Leo
Ganzinger, Harald
dblp
dblp
Editor(s):
BibTeX cite key*:
BachmairGanzinger-94-lics
Title, Booktitle
Title*:
Rewrite Techniques for Transitive Relations
Booktitle*:
Proceedings of the 9th IEEE Symposium on Logic in Computer Science
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
Paris, France
Language:
English
Event Date*
(no longer used):
?
Organization:
Event Start Date:
8 July 2003
Event End Date:
12 July 2003
Publisher
Name*:
IEEE
URL:
Address*:
Los Alamitos, USA
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
Pages:
384-393
Year*:
1994
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
Note:
Full version available as Technical Report MPI-I-93-249
(LaTeX) Abstract:
We propose inference systems for dealing with transitive relations in the context of resolution-type theorem proving. These inference mechanisms are based on standard techniques from term rewriting and represent a refinement of chaining methods. We establish their refutational completeness and also prove their compatibility with the usual simplification techniques used in rewrite-based theorem provers. A key to the practicality of chaining techniques is the extent to which so-called variable chainings can be restricted. We demonstrate that rewrite techniques considerably restrict variable chaining, though we also show that they cannot be completely avoided for transitive relations in general. If the given relation satisfies additional properties, such as symmetry, further restrictions are possible. In particular, we discuss (partial) equivalence relations and congruence relations.
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Access Level:
Public
Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
popular
Appearance:
MPG publications list, university publications list, working group publication list, Fachbeirat, CCL bibliography
BibTeX Entry:
@INPROCEEDINGS
{
BachmairGanzinger-94-lics
,
AUTHOR = {Bachmair, Leo and Ganzinger, Harald},
TITLE = {Rewrite Techniques for Transitive Relations},
BOOKTITLE = {Proceedings of the 9th IEEE Symposium on Logic in Computer Science},
PUBLISHER = {IEEE},
YEAR = {1994},
PAGES = {384--393},
ADDRESS = {Paris, France},
}
Entry last modified by Uwe Waldmann, 03/12/2010
Edit History (please click the blue arrow to see the details)
Edit History (please click the blue arrow to see the details)
Editor(s)
Harald Ganzinger
Created
01/22/1995 02:33:12 PM
Revisions
14.
13.
12.
11.
10.
Editor(s)
Uwe Waldmann
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel
Edit Dates
04/14/2005 01:34:52 AM
08.07.2003 15:31:47
30.08.2001 10:02:23
28.08.2001 16:31:13
28.08.2001 16:31:01
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