By Prof. Dr. Christoph Meinel, Dr. Thorsten Theobald (auth.)
One of the most difficulties in chip layout is the massive variety of attainable mixtures of person chip parts, resulting in a combinatorial explosion as chips develop into extra advanced. New key leads to theoretical machine technology and within the layout of knowledge buildings and effective algorithms might be utilized fruitfully right here. the applying of ordered binary determination diagrams (OBDDs) has ended in dramatic functionality advancements in lots of computer-aided layout initiatives. This textbook presents an creation to the principles of this interdisciplinary examine sector with an emphasis on purposes in computer-aided circuit layout and formal verification.
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Additional resources for Algorithms and Data Structures in VLSI Design: OBDD — Foundations and Applications
0,1) if for all a, b, c E A the following axioms are satisfied: o and Commutative law: a + b=b+ a and a· b = b . a. Distributive law: a· (b + c) = (a· b) + (a· c) and a + (b· c) = (a + b) . (a + c). Identity law: a+0 =a and a· 1 = a. Complement law: a + a = 1 and a· a = O. The set A is called the carrier. The distinguished elements 0 and 1 are called the zero element and the one element, respectively. , Boolean algebras whose carrier is finite. , and· couples more tightly than +. 2. (1) If 2 5 denotes the power set of a set 5, and if for each set A C 5 the term A denotes the set 5 \ A, then (2 5 ; U, n, -,0,5) is a Boolean algebra, the so-called set algebra of 5.
In the original model due to Akers, each decision is based on the evaluation of an input variable. Subsequent approaches also consider more highly structured BDDs, or BDDs whose decisions are based on the evaluation of certain functions. From the complexity theoretical point of view, BDDs have been investigated extensively as a computation model related to memory consumption. In 1986, Bryant showed that typical tasks for manipulating switching functions can be performed very efficiently in terms of Akers' model, if some C.
This approach is of particular importance in computer-aided design ( CAD) of digital systems. In this area, recent advances in very large scale integration (VLSI) technology have raised problems that are far beyond the scope of manual design. VLSI design in the absence of computer-aided design systems is no longer imaginable. Hence, CAD systems have become not only a useful tool but also an indispensable component of every chip design process. However, the real capabilities and power of those CAD systems strongly depend on the following two factors: 1.
Algorithms and Data Structures in VLSI Design: OBDD — Foundations and Applications by Prof. Dr. Christoph Meinel, Dr. Thorsten Theobald (auth.)