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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Socher-Ambrosius, Rolfdblp
Editor(s):
Voronkov, Andreidblp
BibTeX cite key*:
Socher93a
Title, Booktitle
Title*:
Unification in Order-Sorted Logic with Term Declarations
Booktitle*:
Proceedings of the 4th Conference on Logic Programming and Automated Reasoning (LPAR-93)
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
St. Petersburg, Russia
Language:
English
Event Date*
(no longer used):
July, 13-20
Organization:
Event Start Date:
14 May 2024
Event End Date:
14 May 2024
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
698
Number:
Month:
Pages:
301-308
Year*:
1993
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
This paper provides two results concerning Order-Sorted Logic with Term Declarations. First, we show that linear term declarations can be transformed conservatively into function declarations, thus yielding elementary signatures. This provides a simple proof of the well known fact that unification in linear signatures is decidable. A similar transformation exists for semi-linear term declarations, resulting in shallow term declarations. Secondly, we provide an inference system transforming sort constraints over an arbitrary signature into almost solved form. The step from almost solved forms to solved forms requires a procedure to decide emptiness of sort intersections, which is not possible in general. This shows that it is the sort intersection problem that accounts for the undecidability of unification in signatures with term declarations.
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Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
experts only
Appearance:
MPG publications list, university publications list, working group publication list



BibTeX Entry:
@INPROCEEDINGS{Socher93a,
AUTHOR = {Socher-Ambrosius, Rolf},
 EDITOR = {Voronkov, Andrei},
 TITLE = {Unification in Order-Sorted Logic with Term Declarations},
 BOOKTITLE = {Proceedings of the 4th Conference on Logic Programming and Automated Reasoning (LPAR-93)},
 PUBLISHER = {Springer},
 YEAR = {1993},
 VOLUME = {698},
 PAGES = {301--308},
 SERIES = {Lecture Notes in Computer Science},
 ADDRESS = {St. Petersburg, Russia},
}

Entry last modified by Uwe Brahm, 03/12/2010
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Editor(s)
Uwe Brahm		Created
01/14/1995 06:52:44 PM
Revisions
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0.		Editor(s)
Uwe Brahm
Uwe Brahm
Uwe Brahm/MPII/DE
Uwe Brahm/MPII/DE
Uwe Brahm/MPII/DE		Edit Dates
03/15/2001 11:58:09 AM
03/15/2001 11:55:34 AM
21/01/95 20:56:21
17/01/95 20:06:53
14/01/95 19:00:53