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@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Bachmair, Leo
Ganzinger, Harald
Waldmann, Uwe		dblp
dblp
dblp
Editor(s):
Kirchner, Hélène
Levi, G.		dblp
dblp
BibTeX cite key*:
BachmairGanzingerWaldmann-92-alp
Title, Booktitle
Title*:
Theorem proving for hierarchic first-order theories
Booktitle*:
Algebraic and Logic Programming
Event, URLs
Conference URL::
Downloading URL:
Event Address*:
?
Language:
English
Event Date*
(no longer used):
?
Organization:
Event Start Date:
16 May 2024
Event End Date:
16 May 2024
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
632
Number:
Month:
Pages:
420-434
Year*:
1992
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
Note:
Revised version in AAECC, vol.\ 5, number 3/4, pp.\ 193--212, 1994)
(LaTeX) Abstract:
In this work we extend previous results on theorem proving for first-order clauses with equality to hierarchic first-order theories. Semantically such theories are confined to conservative extensions of the base models. It is shown that superposition together with variable abstraction and constraint refutation is refutationally complete for sufficiently complete theories. For the proof we introduce a concept of approximation between theorem proving systems, which makes it possible to reduce the problem to the known case of (flat) first-order theories. These results allow the modular combination of a superposition-based theorem prover with an arbitrary refutational prover for the primitive base theory, whose axiomatic repesentation in some logic may remain hidden.
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MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
experts only
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BibTeX Entry:
@INPROCEEDINGS{BachmairGanzingerWaldmann-92-alp,
AUTHOR = {Bachmair, Leo and Ganzinger, Harald and Waldmann, Uwe},
 EDITOR = {Kirchner, H{\'e}l{\`e}ne and Levi, G.},
 TITLE = {Theorem proving for hierarchic first-order theories},
 BOOKTITLE = {Algebraic and Logic Programming},
 PUBLISHER = {Springer},
 YEAR = {1992},
 VOLUME = {632},
 PAGES = {420--434},
 SERIES = {Lecture Notes in Computer Science},
 ADDRESS = {?},
}

Entry last modified by Uwe Brahm, 03/12/2010
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Editor(s)
Harald Ganzinger		Created
01/22/1995 02:33:15 PM
Revisions
13.
12.
11.
10.
9.		Editor(s)
Uwe Brahm
Uwe Brahm
Uwe Brahm
Uwe Brahm
Uwe Brahm		Edit Dates
01.10.98 20:17:05
25/03/98 11:56:06
25/03/98 10:17:24
03/05/98 07:43:51 PM
03/05/98 07:43:45 PM