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  1. International Journal on Software Tools for Technology Transfer
  2. International Journal on Software Tools for Technology Transfer : Volume 3
  3. International Journal on Software Tools for Technology Transfer : Volume 3, Issue 1, September 2000
  4. Using an induction prover for verifying arithmetic circuits
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International Journal on Software Tools for Technology Transfer : Volume 19
International Journal on Software Tools for Technology Transfer : Volume 18
International Journal on Software Tools for Technology Transfer : Volume 17
International Journal on Software Tools for Technology Transfer : Volume 16
International Journal on Software Tools for Technology Transfer : Volume 15
International Journal on Software Tools for Technology Transfer : Volume 14
International Journal on Software Tools for Technology Transfer : Volume 13
International Journal on Software Tools for Technology Transfer : Volume 12
International Journal on Software Tools for Technology Transfer : Volume 11
International Journal on Software Tools for Technology Transfer : Volume 10
International Journal on Software Tools for Technology Transfer : Volume 9
International Journal on Software Tools for Technology Transfer : Volume 8
International Journal on Software Tools for Technology Transfer : Volume 7
International Journal on Software Tools for Technology Transfer : Volume 6
International Journal on Software Tools for Technology Transfer : Volume 5
International Journal on Software Tools for Technology Transfer : Volume 4
International Journal on Software Tools for Technology Transfer : Volume 3
International Journal on Software Tools for Technology Transfer : Volume 3, Issue 4, September 2001
International Journal on Software Tools for Technology Transfer : Volume 3, Issue 3, August 2001
International Journal on Software Tools for Technology Transfer : Volume 3, Issue 2, May 2001
International Journal on Software Tools for Technology Transfer : Volume 3, Issue 1, September 2000
Theorem proving in technology transfer: the user’s point of view
Verification of Year 2000 conversion rules using the ACL2 theorem prover
High-automation proofs for properties of requirements models
Using an induction prover for verifying arithmetic circuits
VSE: formal methods meet industrial needs
Mechanized result verification: an industrial application
Detecting races in Relay Ladder Logic programs
International Journal on Software Tools for Technology Transfer : Volume 2
International Journal on Software Tools for Technology Transfer : Volume 1

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Using an induction prover for verifying arithmetic circuits

Content Provider Springer Nature Link
Author Kapur, Deepak Subramaniam, Mahadevan
Copyright Year 2000
Abstract We show that existing theorem proving technology can be used effectively for mechanically verifying a family of arithmetic circuits. A theorem prover implementing: (i) a decision procedure for quantifier-free Presburger arithmetic with uninterpreted function symbols; (ii) conditional rewriting; and (iii) heuristics for carefully selecting induction schemes from terminating recursive function definitions; and (iv) well integrated with backtracking, can automatically verify number-theoretic properties of parameterized and generic adders, multipliers and division circuits. This is illustrated using our theorem prover Rewrite Rule Laboratory (RRL). To our knowledge, this is the first such demonstration of the capabilities of a theorem prover mechanizing induction.The above features of RRL are briefly discussed using illustrations from the verification of adder, multiplier and division circuits. Extensions to the prover likely to make it even more effective for hardware verification are discussed. Furthermore, it is believed that these results are scalable, and the proposed approach is likely to be effective for other arithmetic circuits as well.
Starting Page 32
Ending Page 65
Page Count 34
File Format PDF
ISSN 14332779
Journal International Journal on Software Tools for Technology Transfer
Volume Number 3
Issue Number 1
Language English
Publisher Springer-Verlag
Publisher Date 2000-09-01
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Content Type Text
Resource Type Article
Subject Information Systems Software
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