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Book Chapter
Replacement Rules with Definition Detection
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 1761/2000
Book
Automated Deduction in Classical and Non-Classical Logics
DOI
10.1007/3-540-46508-1
Copyright
2000
ISBN
978-3-540-67190-9
DOI
10.1007/3-540-46508-1_5
Pages
489-491
Subject Collection
Computer Science
SpringerLink Date
Saturday, January 01, 2000
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Replacement Rules with Definition Detection
David A. Plaisted
3
and Yunshan Zhu
3
(3)
Department of Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599-3175
Abstract
The way in which a theorem prover handles Definitions can have a significant effect on its performance. Many first-order clause form theorem provers perform badly on theorems such as those from set theory that are proven largely by expanding Definitions. The technique of using replacement rules permits automatic proofs of such theorems to be found quickly in many cases. We present a refinement of the replacement rule method which increases its effectiveness. This refinement consists in recognizing which clauses are obtained from first-order Definitions.
This research was partially supported by the National Science Foundation under grant CCR-9108904
David
A.
Plaisted
Email:
plaisted@cs.unc.edu
Yunshan
Zhu
Email:
zhu@cs.unc.edu
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