VLSI CADhas greatly bene?ted from the use of reduced ordered Binary
Decision Diagrams (BDDs) and the clausal representation as a problem of
Boolean Satis?ability (SAT), e.g. in logic synthesis, ver- cation or
design-for-testability. In recent practical applications, BDDs are
optimized with respect to new objective functions for design space
exploration. The latest trends show a growing number of proposals to
fuse the concepts of BDD and SAT. This book gives a modern presentation
of the established as well as of recent concepts. Latest results in BDD
optimization are given, c- ering di?erent aspects of paths in BDDs and
the use of e?cient lower bounds during optimization. The presented
algorithms include Branch ? and Bound and the generic A -algorithm as
e?cient techniques to - plore large search spaces. ? The A -algorithm
originates from Arti?cial Intelligence (AI), and the EDA community has
been unaware of this concept for a long time. Re- ? cently, the A
-algorithm has been introduced as a new paradigm to explore design
spaces in VLSI CAD. Besides AI search techniques, the book also
discusses the relation to another ?eld of activity bordered to VLSI CAD
and BDD optimization: the clausal representation as a SAT problem.