Results 1 
4 of
4
Boolean Expression Diagrams
, 1997
"... This paper presents a new data structure called Boolean Expression Diagrams (BEDs) for representing and manipulating Boolean functions. BEDs are a generalization of Binary Decision Diagrams (BDDs) which can represent any Boolean circuit in linear space and still maintain many of the desirable proper ..."
Abstract

Cited by 54 (5 self)
 Add to MetaCart
This paper presents a new data structure called Boolean Expression Diagrams (BEDs) for representing and manipulating Boolean functions. BEDs are a generalization of Binary Decision Diagrams (BDDs) which can represent any Boolean circuit in linear space and still maintain many of the desirable properties of BDDs. Two algorithms are described for transforming a BED into a reduced ordered BDD. One is a generalized version of the BDD applyoperator while the other can exploit the structural information of the Boolean expression. This ability is demonstrated by verifying that two di erent circuit implementations of a 16bit multiplier implement the same Boolean function. Using BEDs, this veri cation problem is solved in less than a second, while using standard BDD techniques this problem is infeasible. Generally, BEDs are useful in applications, for example tautology checking, where the endresult as a reduced ordered BDD is small.
Reordering Based Synthesis
 in Proc. of the 3rd Int. Workshop on Applications of the ReedMuller Expansion in Circuit Design (RM'97
, 1997
"... Reordering Based Synthesis (RBS) as an alternative approach to manipulate Decision Diagrams (DDs) is presented. Based on the concept of operation nodes a single "core" operation, i.e. an extended Level Exchange (LE), is sufficient to perform the usual synthesis operations on several types ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
(Show Context)
Reordering Based Synthesis (RBS) as an alternative approach to manipulate Decision Diagrams (DDs) is presented. Based on the concept of operation nodes a single "core" operation, i.e. an extended Level Exchange (LE), is sufficient to perform the usual synthesis operations on several types of DDs. RBS allows the integration of dynamic variable ordering (even) within a single synthesis operation (e.g. an ANDoperation) and thus provides the possibility of avoiding huge peak sizes during the construction. The optimization potential is significantly enlarged by allowing LEs even between operation nodes. A large number of experimental results for the BDD case confirm the validity of the concept.
Combinational LogicLevel Verification using Boolean Expression Diagrams
 IN 3RD INTERNATIONAL WORKSHOP ON APPLICATIONS OF THE REEDMULLER EXPANSION IN CIRCUIT DESIGN
, 1997
"... Boolean Expression Diagrams (BEDs) is a new data structure for representing and manipulating Boolean functions. BEDs are a generalization of Binary Decision Diagrams (BDDs) that are capable of representing any Boolean circuit in linear space and still maintain many of the desirable properties of BDD ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Boolean Expression Diagrams (BEDs) is a new data structure for representing and manipulating Boolean functions. BEDs are a generalization of Binary Decision Diagrams (BDDs) that are capable of representing any Boolean circuit in linear space and still maintain many of the desirable properties of BDDs. This paper demonstrates that BEDs are well suited for solving the combinational logiclevel verification problem which is, given two combinational circuits, to determine whether they implement the same Boolean functions. Based on all combinational circuits in the ISCAS 85 and LGSynth 91 benchmarks, we demonstrate that BEDs outperform both standard BDD approaches and the techniques specifically developed to exploit structural similarities for efficiently solving the problem.