Characterizing the complexity of boolean functions represented by well-structured graph-driven parity-FBDDs
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 36 (2002) no. 3, pp. 229-247.

We investigate well-structured graph-driven parity-FBDDs, which strictly generalize the two well-known models parity OBDDs and well-structured graph-driven FBDDs. The first main result is a characterization of the complexity of Boolean functions represented by well-structured graph-driven parity-FBDDs in terms of invariants of the function represented and the graph-ordering used. As a consequence, we derive a lower bound criterion and prove an exponential lower bound for certain linear code functions. The second main result of this paper is a polynomial time algorithm that minimizes the number of nodes in a graph-driven parity-FBDD.

DOI: 10.1051/ita:2002011
Classification: 68Q10,  68Q60,  68P05
Keywords: well-structured graph-driven parity-FBDDs, lower bounds, minimization algorithm, complexity theory, data structures for boolean functions
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     author = {Brosenne, Henrik and Homeister, Matthias and Waack, Stephan},
     title = {Characterizing the complexity of boolean functions represented by well-structured graph-driven {parity-FBDDs}},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {229--247},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {3},
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Brosenne, Henrik; Homeister, Matthias; Waack, Stephan. Characterizing the complexity of boolean functions represented by well-structured graph-driven parity-FBDDs. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 36 (2002) no. 3, pp. 229-247. doi : 10.1051/ita:2002011. http://www.numdam.org/articles/10.1051/ita:2002011/

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