Download Algorithms and Data Structures in VLSI Design: OBDD — by Prof. Dr. Christoph Meinel, Dr. Thorsten Theobald (auth.) PDF

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 turn into extra advanced. New key leads to theoretical laptop technological know-how and within the layout of knowledge buildings and effective algorithms may be utilized fruitfully right here. the appliance of ordered binary determination diagrams (OBDDs) has resulted in dramatic functionality advancements in lots of computer-aided layout tasks. This textbook offers an advent to the rules of this interdisciplinary examine sector with an emphasis on functions in computer-aided circuit layout and formal verification.

Show description

Read Online or Download Algorithms and Data Structures in VLSI Design: OBDD — Foundations and Applications PDF

Similar algorithms books

Automated Planning: Theory & Practice (The Morgan Kaufmann Series in Artificial Intelligence)

Computerized making plans know-how now performs an important function in quite a few tough purposes, starting from controlling area autos and robots to enjoying the sport of bridge. those real-world purposes create new possibilities for synergy among idea and perform: gazing what works good in perform ends up in higher theories of making plans, and higher theories result in higher functionality of sensible functions.

Web Data Management

The net and world-wide-web have revolutionized entry to details. clients now shop details throughout a number of structures from own pcs, to smartphones, to web pages similar to Youtube and Picasa. in this case, info administration options, equipment, and methods are more and more fascinated by distribution matters.

Algorithms and Data Structures for External Memory (Foundations and Trends(R) in Theoretical Computer Science)

Info units in huge purposes are usually too colossal to slot thoroughly contained in the computer's inner reminiscence. The ensuing input/output verbal exchange (or I/O) among quick inner reminiscence and slower exterior reminiscence (such as disks) could be a significant functionality bottleneck. Algorithms and information constructions for exterior reminiscence surveys the state-of-the-art within the layout and research of exterior reminiscence (or EM) algorithms and knowledge constructions, the place the objective is to take advantage of locality and parallelism to be able to lessen the I/O charges.

Genetic Algorithms and Genetic Programming in Computational Finance

After a decade of improvement, genetic algorithms and genetic programming became a greatly accredited toolkit for computational finance. Genetic Algorithms and Genetic Programming in Computational Finance is a pioneering quantity dedicated fullyyt to a scientific and accomplished evaluate of this topic.

Extra info for Algorithms and Data Structures in VLSI Design: OBDD — Foundations and Applications

Example text

If A 50p Band BE P then A E P. 8. o 1. A problem A is called NP-hard if all B E NP satisfy: B 50p A. 2. A problem A is called NP-complete, if both A is NP-hard and A E NP. 9. Let A be an NP -complete problem. Then the following holds: 1. If A E P then P = NP. 2. If A (j. P then all NP -complete problems B satisfy B (j. P. Proof. Let A E P, and let B be an arbitrary problem in NP. As in particular A is NP-hard, we have B 50p A. 7 implies B E P. As B was chosen arbitrarily from NP, we have P = NP.

The set of all n-variable switching functions is denoted by Iffin . 15, each n-variable switching function is a Boolean function. If it is clear from the context that the underlying Boolean algebra is the switching algebra, the terms Boolean function and switching function can be used synonymously. If C is a circuit with n inputs signals and m output signals, then the input/output behavior of C can be described in terms of an m-tuple f = (II, ... ,fm) of switching functions. The set of n-variable switching functions with m outputs is denoted by Iffin,m.

In the notation of the previous proof we have a(O,O,O,O) = f(0,0,0,0) = {2}, a(l, 0, 0, 0) = f(5, 0, 0, 0) = {1}. Hence, f( {1}, 0, 0, 0) U = a(el' ez, e3, e4) n {IVI n 0e2 n 0e3 n 0e4 (e1 ,... ,e4)E{O,1}4 = (a(l,O,O,O) n {1}) U (a(O,O,O,O) n {2}) = {1} U {2} = 5, in contradiction to the definition of f. 3 Switching Functions In the following, we discuss the special case of Boolean algebra with two elements, which can be seen as the theoretical foundation of circuit design. The significance of this connection was recognized very early.

Download PDF sample

Rated 4.87 of 5 – based on 43 votes