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http://web.eecs.umich.edu/~valeria/research/publications/ICCD96long.pdf
Boolean Function Representation based on disjoint-support decompositions. Valeria Bertacco and Maurizio Damiani Dipartimento di Elettronica ed Informatica Universit´a di Padova, Via Gradenigo 6/A, 35131 Padova, ITALY e-mail: [email protected] [email protected] Tel: +39 49 827 7829 Fax: +39 49 827 7699 Abstract
https://www.researchgate.net/publication/2397672_Boolean_Function_Representation_Based_on_Disjoint-Support_Decompositions
Boolean Function Representation Based on Disjoint-Support Decompositions. ... which can expose the maximal disjoint-support decomposition of a Boolean function represented by its BDD and which has ...
http://web.eecs.umich.edu/~valeria/research/publications/ICCD96.pdf
Boolean Function Representation Based on Disjoint-Support Decompositions. Valeria Bertacco and Maurizio Damiani Dipartimento di Elettronica ed Informatica Universita di Padova, Via Gradenigo 6/A, 35131 Padova, ITALY Abstract The Multi-Level Decomposition Diagrams (MLDDs) of this paper are a canonical representation of Boolean func-
https://ieeexplore.ieee.org/document/563527/
Boolean function representation based on disjoint-support decompositions Abstract: The Multi-Level Decomposition Diagrams (MLDDs) of this paper are a canonical representation of Boolean functions expliciting disjoint-support decompositions. MLDDs allow the reduction of memory occupation with respect to traditional ROBDDs by decomposing logic ...
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.9442
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The Multi-Level Decomposition Diagrams (MLDDs) presented in this paper provide a canonical representation of Boolean functions while making explicit disjoint-support decomposition. This representation can be directly mapped to a canonical multi-level gate network of a logic function with AND/OR or NOR-only (NAND …
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.9465
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The Multi-Level Decomposition Diagrams (MLDDs) of this paper are a canonical representation of Boolean functions expliciting disjoint-support decompositions. MLDDs allow the reduction of memory occupation with respect to traditional ROBDDs by decomposing logic functions recursively into simpler- and more …
https://www.researchgate.net/publication/4093074_Disjoint-support_Boolean_decomposition_combining_functional_and_structural_methods
This paper presents a heuristic algorithm for disjoint decomposition of a Boolean function based on its ROBDD representation. Two distinct features make the algorithm feasible for large functions.
http://core.ac.uk/display/20803024
The Multi-Level Decomposition Diagrams (MLDDs) of this paper are a canonical representation of Boolean functions expliciting disjoint-support decompositions. MLDDs allow the reduction of memory occupation with respect to traditional ROBDDs by decomposing logic functions recursively into simpler- and more sharable- blocks.Author: Valeria Bertacco and Maurizio Damiani
https://core.ac.uk/display/20956797
The Multi-Level Decomposition Diagrams (MLDDs) presented in this paper provide a canonical representation of Boolean functions while making explicit disjoint-support decomposition. This representation can be directly mapped to a canonical multi-level gate network of a logic function with AND/OR or NOR-only (NAND-only) gates.Author: Valeria Bertacco and Maurizio Damiani
https://people.eecs.berkeley.edu/~alanmi/publications/2001/tech01_dsd.pdf
An Approach to Disjoint-Support Decomposition of Logic Functions Alan Mishchenko Portland State University Department of Electrical and Computer Engineering Portland, OR 97207, USA [email protected] Abstract This paper describes a new approach to disjoint-support decomposition. Its advantage over Bertacco-Damiani [1]
https://core.ac.uk/display/20956797
Boolean function representation based on disjoint-support decompositions . By Valeria Bertacco and Maurizio Damiani. Abstract. The Multi-Level Decomposition Diagrams (MLDDs) presented in this paper provide a canonical representation of Boolean functions while making explicit disjoint-support decomposition. This representation can be directly ...
https://people.eecs.berkeley.edu/~alanmi/publications/2008/iccad08_lp.pdf
support of F is the set of all variables on which function F essentially depends. The supports of two functions are disjoint if they do not contain common variables. A set of functions is disjoint if their supports are pair-wise disjoint. A decomposition of a completely specified Boolean function is
https://www.researchgate.net/publication/4093074_Disjoint-support_Boolean_decomposition_combining_functional_and_structural_methods
This paper presents a heuristic algorithm for disjoint decomposition of a Boolean function based on its ROBDD representation. Two distinct features make the algorithm feasible for large functions.
https://www.cs.york.ac.uk/rts/docs/SIGDA-Compendium-1994-2004/papers/2004/aspdac04/pdffiles/06d_4.pdf
disjoint decompositions, that are “too few”, disjoint-support decompositions are “too many”. So, an algorithm which first generates all disjoint-support decompositions and then checks which of them simplify the function is not feasible. Our approach to overcome these problems is the following.
http://vhosts.eecs.umich.edu/staccato/files/staccato_paper.pdf
Disjoint Support Decompositions from BDDs through Symbolic Kernels ... (DSD) is a representa-tion of a Boolean function F obtained by composing two or more simpler component functions such that the component functions have no common inputs. The decomposition of a function is desirable for several reasons. ... ing from a BDD representation [3, 4 ...
https://people.eecs.berkeley.edu/~alanmi/publications/2008/iwls08_lp.pdf
A decomposition of a completely specified Boolean function is a Boolean network with one PO that is functionally equivalent to the function. A disjoint-support decomposition (DSD - also called simple disjunctive decomposition) is a decomposition in which the …
http://www.diva-portal.org/smash/record.jsf?pid=diva2%3A11682
The first two algorithms compute simple-disjoint and disjoint-support decompositions. They are based on representing the target function by a Reduced Ordered Binary Decision Diagram (BDD). Unlike other BDD-based algorithms, the presented ones can deal with larger target functions and produce more decompositions without requiring expensive manipulations of the representation, particularly BDD …
https://link.springer.com/content/pdf/bbm%253A978-0-387-29906-8%252F1.pdf
Appendix A: Disjoint-support decompositions 133 maximal divisor of any function F and is key to the definition of decomposition tree that is presented in Section A.3. In order to show the uniqueness of the maximal DSD, we need to introduce the concept of kernel …
https://link.springer.com/article/10.1007/s10559-009-9116-2
A set-theoretical approach to the non-disjoint decomposition of different forms of representation of Boolean functions of n variables is considered. This approach is based on the method of p,q-partitions of conjuncterms and on the concept of a decomposition clone.
http://web.cecs.pdx.edu/~mperkows/PerkowskiGoogle/A_fast_heuristic_algorithm_for_disjoint_decomposition_of_Boolean_functions.pdf
functions show that the presented heuristic finds 95% of alldecom-positions on average. For 526 of those functions, it finds 100% of the decompositions. 1 Introduction The disjoint decomposition of a Boolean function is a represen-tation of type f (X)= h g Y); Z with Y and Z being sets of vari-ables partitioning the set X. Disjoint decomposition has many ap-
http://web.eecs.umich.edu/~valeria/research/publications/IWLS05Deco.pdf
Boolean Operations on Decomposed Functions Stephen Plaza Valeria Bertacco [email protected] [email protected] Advanced Computer Architecture Lab The University of Michigan Ann Arbor, MI 48109 ABSTRACT Disjoint support decompositions (DSDs)are a way of expos-ing theinherenthierarchical structureofa Boolean function.
http://downloads.hindawi.com/archive/2002/349538.pdf
functions are directly identified by manipulation on the reduced cubical representation of Boolean functions and their corresponding Walsh spectra. The presented algorithm has been implemented in C and tested on the standard benchmark functions. The number of Boolean functions having various disjoint bi-decompositions has also been enumerated.
http://www.cs.ucr.edu/faculty/philip/papers/workshops-posters/iwls09/iwls09-function.pdf
The support of a block is the set of primitive input bits on which a block’s output bits depend. A disjoint decomposi- tion ensures that the supports of two blocks, which do not have a predecessor-successor relationship, do not overlap; in other words, theDAGthatresultsfromthedisjointdecomposition isatree.
http://www.cecs.uci.edu/~papers/compendium94-03/papers/2003/aspdac03/pdffiles/02d_1.pdf
all disjoint decompositions of an n-variable Boolean function represented by a ROBDD. The heuristic is based on two prop-erties: (1) all decompositions of a Boolean function (which can be O (2n)) can be uniquely described by so called strong decompositions (which are only O (n)); (2) there exist a best variable ordering for a ROBDD in which the variables Y from
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