Decision Diagrams (DDs) are used in many applications in CAD. Various types of DDs, e.g. BDDs, FDDs, KFDDs, di er by their decomposition types. In this paper we investigate the di erent decomposition types and prove that there are only three that really help to reduce the size of DDs.

An overview on Decision Diagrams (DDs), the state-of-the-art data structure in computer aided design of integrated circuits, is given. The overview is not complete in the sense that all DDs are considered, but we mention the most important with practical relevance. DDs are widely used and in the meantime have also been integrated in commercial tools. In the following special interest is devoted...

There is a gap between the modelling and the simulation of discontinuous dynamical systems (DDS) exhibiting sliding-mode behaviour. Several challenges arise. Mainly, the definition of unique solutions on the discontinuity surfaces and at their crossings. There are also numerical issues in the detection and location of the trajectory entering and going out of the discontinuity surface, as well a...

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 suucient 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...

BACKGROUND Evidence on effectiveness of women's empowerment (WE) to reduce undernutrition is limited in sub-Sahara Africa, and few studies incorporate multidimensional measures of WE. OBJECTIVE To examine whether a WE status, in sum and across leadership, decision-making, mobility, economic security, male involvement in housework, and nonfamily group domains, is associated with women and thei...

In the last decade, decision diagrams (DDs) have been basis for a large array of novel approaches modeling and solving optimization problems. Many techniques now use DDs as key tool to achieve state-of-the-art performance within other paradigms, such integer programming constraint programming. This paper provides survey in discrete optimization, particularly focusing on recent developments. We ...

Decision Diagrams (DDs) are a data structure for the representation and manipulation of discrete logic functions often applied in VLSI CAD. Common DDs to represent Boolean functions are Binary Decision Diagrams (BDDs). Multiple-valued logic functions can be represented by Multiple-valued Decision Diagrams (MDDs). The efficiency of a DD representation strongly depends on the variable ordering; t...

To achieve the goal of information dominance, the DoD has adopted the doctrine of net-centric operations and warfare (NCOW). The Global Information Grid (GIG), Future Combat System (FCS), C2 Constellation, and FORCEnet are examples of net-centric operations where multiple systems-of-systems integrate thousands of platforms, sensors, decision nodes, weapons, and warfighters through heterogeneous...

Abstract| Several types of Decision Diagrams (DDs) have have been proposed in the area of Computer Aided Design (CAD), among them being bit-level DDs like OBDDs, OFDDs and OKFDDs. While the aforementioned types of DDs are suitable for representing Boolean functions at the bit-level and have proved useful for a lot of applications in CAD, recently DDs to represent integer-valued functions, like ...