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Sample Method for Minimization of OBDDs

Anna Slobodova5, 6 Contact Information and Christoph Meinel7, 8 Contact Information

(5)  Compaq, Shrewsbury, Massachusets, USA
(6)  Comenius University, Bratislava, Slovakia
(7)  Institute of Telematics, Bahnhofstr 30-32, 54292 Trier, Germany
(8)  FB IV - Informatik, University of Trier, 54286 Trier, Germany
Abstract
The exact minimization of the size of Ordered Binary Decision Diagrams (OBDD) is known to be an NP-complete problem. The available heuristical solutions of the problem still do not satisfy requirements of the practical applications. Development of the efficient algorithms that find acceptable variable orders within a short time and with a modest memory overhead is hence higly desired.
In this paper we contribute to the solution of the minimization problem by a new variable reordering heuristic that is based on sampling. A small OBDD sample is chosen from the OBDDs that are considered for minimization. Solving the problem for this small sample, we obtain a variable order that is extrapolated and applied to the entire OBDDs. We present the first experimental results with the Sample Reordering targeted at combinatorial verification. The suggested heuristic is substantially faster than Sifting.

Contact Information Anna Slobodova
Email: slobodov@cadunx.hlo.dec.com

Contact Information Christoph Meinel
Email: meinel@ti.fhg.de
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