Read e-book online Advanced BDD Optimization PDF

By Rudiger Ebendt, Görschwin Fey, Rolf Drechsler

ISBN-10: 0387254536

ISBN-13: 9780387254531

The dimensions of technically producible built-in circuits raises consistently. however the skill to layout and make certain those circuits doesn't stay alongside of this improvement. accordingly today’s layout move should be superior to accomplish a better productiveness. In Robustness and value in glossy layout Flows the present layout technique and verification technique are analyzed, a couple of deficiencies are pointed out and strategies prompt. advancements within the method in addition to within the underlying algorithms are proposed. An in-depth presentation of initial recommendations makes the booklet self-contained. in accordance with this starting place significant layout difficulties are distinct. particularly, a whole software circulation for Synthesis for Testability of SystemC descriptions is gifted. The ensuing circuits are thoroughly testable and try out development new release in polynomial time is feasible. Verification concerns are coated in much more element. a complete new paradigm for formal layout verification is advised. this is often dependent upon layout realizing, the automated new release of homes and robust instrument aid for debugging disasters. these kinds of new suggestions are empirically evaluated and experimental effects are supplied. for that reason, an better layout circulate is created that gives extra automation (i.e. greater usability) and decreases the chance of introducing conceptual blunders (i.e. larger robustness)

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The relative order of the other variables is preserved. e. one which yielded the smallest BDD size. g. for i < j swapping π(i) and π(i+1), π(i+1) and π(i+2) . . , finally swapping π(j − 1) and π(j) moves π(i) to the j-th position in the ordering. Note that π changes with each swap. 1 it has been shown that a swap of adjacent variables only affects the graph structure of the two levels involved in the swap. Since the number of nodes which have to be touched directly transfers to the run time of the method, this locality of the swap operation is a main reason for the efficiency of the sifting algorithm: these exchanges are performed very quickly since only edges must be redirected within these two levels.

The two outputs are represented by nodes a and d, thus ref(F, 0) = {a, d}. This set as well as the other sets are given in the figure. 4 Let f : Bn → Bm be a multi-output function. Let (L, R) be a partition of Xn , π ∈ Π(L) and F := BDD(f, π). If |ref(F, |L|)| = c, then each BDD with a variable ordering in Π(L) representing f has at least c nodes in levels |L| + 1, . . , n. A proof can be found in [Bry91, DDG00]. In exact minimization, this argument is used to obtain a lower bound based on ref(F, |I|) at each step, a state I ⊆ Xn is considered.

That way it is possible to free a node if it is not used anymore. This allows the efficient usage of the memory. The count ref is updated dynamically whenever the number of references from other nodes or returned user functions changes. e. the node is not deleted during program run and exists until program termination. If ref reaches the value zero for a node v, the node is called a dead node. The reference counts of the descendants of v need to be decreased recursively. However, the memory of the dead node v is not freed immediately, because there might still exist an entry in the so-called computed table which points at v.

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Advanced BDD Optimization by Rudiger Ebendt, Görschwin Fey, Rolf Drechsler

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