ACM transactions on design automation of electronic systems by M. R. Greenstreet on formal verification, K-J Le, J. J. PDF

By M. R. Greenstreet on formal verification, K-J Le, J. J. Tang, T. C. Huang on BIFEST, V. S. S. Nair on spectral based heuristics, others C. Kern

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Additional info for ACM transactions on design automation of electronic systems (April)

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10, No. 2, April 2005, Pages 229–257. 230 • I. Kadayif et al. 1. INTRODUCTION Power optimization has become as important a criterion as performance across a spectrum of computing devices. While the need for conserving battery energy on embedded devices is well understood [Catthoor et al. 1998], power dissipation has a crucial consequence on chip design as well—fabrication, packaging, and cooling. Reducing the power dissipation requires an in-depth examination of each system component, and research over the past few years has been very active in this area [Brooks et al.

Normally, when a node needs to be duplicated, the nodes within its whole fan-in cone need to be duplicated. Figure 12(a) shows a divergent node D and its fan-in cone to be duplicated. The structure after duplication is shown in Figure 12(b). However, we can still reduce the duplication cost even when duplication of the fan-in cone is unavoidable. The reason is that the nonalternating skew direction scheme can be applied to the duplicated fan-in cone, too. In Figure 12(c), for example, we do not have to duplicate node W and its fan-in cone when node Z (duplicate of node Z ) is a candidate gate, that is, node Z allows nonalternating fan-in.

The single inequality has the form: s1 + · · · + sm + s1 + · · · + sn − t1 − · · · − tl ≥ m + n − l − 1. (A-3) PROOF We start from the simple case with n equal to 1. The set of inequalities that capture the constraints, denoted by Z , consists of the single inequality constraint within S1 and the m inequality constraints between S1 and S2 : s1 + · · · + sm ≥ m − 1, (A-4) sm + s1 − t1 − · · · − tl ≥ −(l − 1), (A-5) sm−1 + s1 − t1 − · · · − tl − sm ≥ −l , .. (A-6) s1 + s1 − t1 − · · · − tl − sm − · · · − s2 ≥ −(l + m − 2).

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ACM transactions on design automation of electronic systems (April) by M. R. Greenstreet on formal verification, K-J Le, J. J. Tang, T. C. Huang on BIFEST, V. S. S. Nair on spectral based heuristics, others C. Kern


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