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Verifying Integrity of Decision Diagrams
Integration, 1998Summary: Decision Diagrams (DDs) are the state-of-the-art data structure in CAD of integrated circuits. They are used in many safety critical applications, like verification. In this paper security aspects of implementation techniques of DDs are discussed. A recursive checksum technique is presented for on- and off-line checks.
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Decision diagrams for linear arithmetic
2009 Formal Methods in Computer-Aided Design, 2009Boolean manipulation and existential quantification of numeric variables from linear arithmetic (LA) formulas is at the core of many program analysis and software model checking techniques (e.g., predicate abstraction). We present a new data structure, Linear Decision Diagrams (LDDs), to represent formulas in LA and its fragments, which has certain ...
Sagar Chaki +2 more
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Layer Compression in Decision Diagrams
2008 20th IEEE International Conference on Tools with Artificial Intelligence, 2008A number of compact representation forms that are investigated in the knowledge compilation community are utilized in interactive product configuration and other forms of decision support. Multi-valued decision diagrams (MDDs) are particularly well suited for interactive configuration. However, for large variable domains MDDs can be unnecessarily large
Tarik Hadzic +2 more
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Timed binary decision diagrams
Proceedings International Conference on Computer Design VLSI in Computers and Processors, 1997The paper presents an extension to OBDDs with timing information, called timed binary decision diagrams (TBDDs). TBDDs are also canonical and allow the symbolic manipulation of Boolean functions with timing information. A TBDD software package is implemented based on the existing CMU BDD package.
Zhongcheng Li +3 more
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Automata and Binary Decision Diagrams
1999We show that the concept of automata minimization leads to a nice interpretation of the famous canonicity of binary decision diagrams discovered by Bryant.
Jean-Francis Michon +1 more
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Superset Generation on Decision Diagrams
2015Generating all supersets from a given set family is important, because it is closely related to identifying cause-effect relationship. This paper presents an efficient method for superset generation by using the compressed data structures BDDs and ZDDs effectively. We analyze the size of a BDD that represents all supersets. As a by-product, we obtain a
Takahisa Toda +3 more
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Complex spectral decision diagrams
Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96), 2002Different decision diagrams for representations of binary and multiple-valued functions in the form of Complex Hadamard Transforms and Spectra are introduced in this paper. Since Complex Hadamard Transform matrix can be recursively expanded through Kronecker products, complex hybrid decision diagrams can be easily derived.
Bogdan J. Falkowski, Susanto Rahardja
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Multi-Terminal Binary Decision Diagrams and Hybrid Decision Diagrams
1996Functions that map vectors with binary values into the integers are important for the design and verification of arithmetic circuits. We demonstrate how multi-terminal binary decision diagrams (MTBDDs) can be used to represent such functions concisely.
Edmund M. Clarke +2 more
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A characterization of binary decision diagrams
IEEE Transactions on Computers, 1993Binary decision diagrams (BDDs) are a representation of Boolean functions. Its use in the synthesis, simulation, and testing of Boolean circuits has been proposed by various researchers. In all these applications of BDDs solutions to some fundamental computational problems are needed.
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An approach to minimization of decision diagrams
Proceedings Euromicro Symposium on Digital Systems Design, 2002One of the most promising concepts which has been developed for efficient representation functions is Linearly Transformed Binary Decision Diagram (LTBDD). We present extensions to LTBDDs called Function-driven Decision Diagrams (fDDs). The notion of fDDs is based on using simple balanced (including nonlinear) Boolean functions for defining ...
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