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Author, Editor

Author(s):

Bachmair, Leo
Ganzinger, Harald

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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

URL of the conference:


URL for downloading the paper:


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

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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
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Editor(s)
Harald Ganzinger
Created
01/22/1995 02:33:12 PM
Revisions
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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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