| Clarke E. M., McMillan K. L., Zhao X., Fujita M. and Yang J. [1993], Spectral transforms for large Boolean functions with applications to technology mapping, in `Proc. 30th ACM/IEEE Design Automation Conference (DAC '93)', IEEE Computer Society Press, pp. 54-60. |
.... representations In this section we present space efficient symbolic representations of transition systems with the help of binary decision diagrams (BDD) We review multiterminal BDDs (MTBDD) also called algebraic decision diagrams, since they are capable of representing real valued functions [4, 31, 46]. 4.1 Multi terminal BDDs Let IB = f0; 1g denote the set of Booleans . An MTBDD is a graph based representation of a function f : IB 7 IR. Definition 4. Multi Terminal Binary Decision Diagram (MTBDD) Let V ars = fv 1 ; v n g be a set of Boolean variables with a fixed total ....
E.M. Clarke, K.L. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral Transforms for Large Boolean Functions with Applications to Technology Mapping. In 30th Design Automation Conf., pages 54--60. ACM/IEEE, 1993.
....regarded as the basis of subsequent work in this field. Many digital system design tasks can be performed in the spectral domain. The principles of spectral methods have been applied to many areas in digital systems engineering. Some of these include synthesis [14] 9] 13] 16] 20] 22] [4] [18] partitioning techniques [14] 15] 1] 26] 27] testing [6] 12] 19] 24] function classification [13] 8] verification [25] and others. It has been shown that certain problems such as disjoint decomposition [1] 26] and function classification [13] cannot be solved with less complexity ....
.... Spectral Decision Diagram (SDD) It is possible to formulate the spectral transformation operation as a graph traversal algorithm resulting in the direct conversion of a BDD into a SDD [17] 23] This can be accomplished without using graph based vector matrix operations such as those described in [4][10] by utilizing the # # # transform matrix and traversing the BDD functional representation applying the # # # transformation to each vertex visited in the BDD. Once all vertices have been transformed, the resulting structure is the SDD of the function. From [7] it is observed that one ....
E.M. Clarke, K.L. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large Boolean functions with application to technology mapping. In Design Automation Conf., pages 54--60, 1993.
....is also a new topic in recent years[13, 2] and there are many other LSI CAD applications in the NP or co NP class. Our streaming method is useful for those applications. Lastly, it will be another interesting future work to consider streaming manipulation for some extended BDDs, such as MTBDDs[5] or EVBDDs[7] ....
E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large Boolean functions with applications to technology mapping. In Proc. of 30th ACM/IEEE Design Automation Conference (DAC'93), pages 54--60, June 1993.
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Clarke E. M., McMillan K. L., Zhao X., Fujita M. and Yang J. [1993], Spectral transforms for large Boolean functions with applications to technology mapping, in `Proc. 30th ACM/IEEE Design Automation Conference (DAC '93)', IEEE Computer Society Press, pp. 54-60.
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E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large boolean functions with applications to technology mapping. In Proc. 30th ACM/IEEE Design Automation Conference, pp 54--60, IEEE, 1993.
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E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. C.-Y. Yang, "Spectral transforms for large Boolean functions with applications to technology mapping," Proc. of the 30th Design Automation Conference, pp. 54-60, 1993.
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E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. C.-Y. Yang, "Spectral transforms for large Boolean functions with applications to technology mapping," Proc. of the 30th Design Automation Conference, pp. 54-60, 1993.
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E.M. Clarke, K.L. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large boolean functions with applications to technology mapping. In Design Automation Conference, June 1993.
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E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. Yang, "Spectral transforms for large Boolean functions with applications to technology mapping," in Design Automation Conference, pp. 54--60, 1993.
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E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. Yang, "Spectral transforms for large Boolean functions with application to technology mapping," Proc. Design Automation Conf., pp. 54-60, June, 1993.
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E. M. Clarke, K. L. McMillan, X. Znao, M. Fujiia, and J. Yang. Spectral transforms for large boolean functions with applications to technology mapping. In Proceedings of the 30th ACM/IEEE Design Automation Conference, pages 54--60, June 1993.
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E. M. Clarke, K. L. McMillan, X Zhao, M. Fujita, and J. Yang. Spectral transforms for large boolean functions with applications to technology mapping. In Proceedings of the 30th international on Design automation conference, pages 54--60. ACM Press, 1993.
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E. Clarke, K. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral Transforms for Large Boolean Functions with Applications to Technology Mapping. In Proc. ACM/IEEE Design Automation Conference (DAC'93), pages 54-- 60, Dallas, June 1993. Also available in Formal Methods in System Design, 10(2/3), 1997.
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E.M. Clarke, K.L.McMillan, X.Zhao, M. Fujita, and J.Yang. Spectral transforms for large boolean functions with applications to technology mapping. In Proceedings of the 30th ACM/IEEE Design Automation Conference, pages 54--60, 1993.
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E. Clarke, K. McMillan, X. Zhao, M. Fujita, J. Yang, Spectral transforms for large boolean functions with applications to technology mapping, in: 30th Design Automation Conference, ACM/IEEE, 1993, pp. 54--60. 57
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E. Clarke, K. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large Boolean functions with applications to technology mapping. In Proc. 30th Design Automation Conference (DAC'93), pages 54{ 60. ACM Press, 1993. Also available in Formal Methods in System Design, 10(2/3):137-148, 1997.
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E. Clarke, K.L. McMillan, X. Zhao, M. Fujita, and J. C.-Y. Yang, "Spectral transforms for large Boolean functions with application to technology mapping," 30th Design Automation Conference, June, 1993, pp. 54--60.
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E. M. Clarke, K. L. McMillan, X.Zhao, M. Fujita and J. Yang, #Spectral transforms for large Boolean functions with application to technology mapping," in DAC, Proceedings of the Design Automation Conference, pp. 54#60, June 1993.
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E. Clarke, K. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large Boolean functions with applications to technology mapping. In Proc. 30th Design Automation Conference (DAC'93), pages 54-60. ACM Press, 1993. Also available in Formal Methods in System Design, 10(2/3):137-148, 1997.
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E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. Yang, "Spectral transforms for large Boolean functions with applications to technology mapping," Formal Methods in System Design: An Int. Journal, vol. 10, no. 2, pp. 137--148, Apr. 1997.
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CLARKE, E. M., MCMILLAN, K., ZHAO, X., FUJITA, M., AND YANG, J. Spectral transforms for large boolean functions with applications to technology mapping. In Proceedings of the 30th ACM/IEEE Design Automation Conference (June 1993), pp. 54--60.
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E. Clarke, K.L. McMillan, X. Zhao, M. Fujita, and J. C.-Y. Yang, "Spectral transforms for large Boolean functions with application to technology mapping," 30th ACM/IEEE Design Automation Conference, Dallas, TX, June, 1993, pp. 54--60.
No context found.
E. M. Clarke, K. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral transforms for large Boolean functions with applications to technology mapping. In Proceedings of the 30th ACM/IEEE Design Automation Conference, pages 54-60, June 1993.
No context found.
E.M. Clarke, K.L. McMillan, X. Zhao, M. Fujita, and J. Yang. Spectral Transforms for Large Boolean Functions with Applications to Technology Mapping. In 30th Design Automation Conference, pages 54--60. ACM/IEEE, 1993.
No context found.
E. M. Clarke, K. L. McMillan, X. Zhao, M. Fujita, and J. C.-Y. Yang, "Spectral transforms for large Boolean functions with application to technology mapping, " in Proceedings of the 30th ACM/IEEE Design Automation Conference, (Dallas, TX), pp. 54--60, June 1993.
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