Title

Application of Indexed Partition Calculus in Logic Synthesis of Boolean Functions for FPGAs

Journal title

International Journal of Electronics and Telecommunications

Yearbook

2011

Volume

vol. 57

Issue

No 2

Authors

Rawski, Mariusz

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences Committee of Electronics and Telecommunications

Date

2011

Identifier

DOI: 10.2478/v10177-011-0029-4 ; eISSN 2300-1933 (since 2013) ; ISSN 2081-8491 (until 2012)

Source

International Journal of Electronics and Telecommunications; 2011; vol. 57; No 2

References

Brzozowski J. (2003), Decomposition of Boolean Functions Specified by Cubes, Journal of Multiple-Valued Logic and Soft Computing, 9, 377. ; Łuba T. (1995), A General Approach to Boolean Function Decomposition and its Applications in FPGA-Based Synthesis, VLSI Design, 3, 3-4, 289, doi.org/10.1155/1995/67208 ; Rawski M. (2007), Decomposition of Boolean Function Sets, Electronics and Telecommunications Quarterly, 53, 3, 231. ; Sasao T. (2001), Compact BDD Representations for Multiple-Output Functions and Their Application, null, 207. ; Scholl C. (2001), Functional Decomposition with Application to FPGA Synthesis. ; Ashenhurst R. (1959), The Decomposition of Switching Functions, null, 29, 74. ; Curtis H. (1962), A New Approach to the Design of Switching Circuits. ; Karp R. (1963), Functional Decomposition and Switching Circuit Design, SIAM Journal on Applied Mathematics, 11, 2, 291, doi.org/10.1137/0111022 ; Hartmanis J. (1966), Algebraic Structure Theory of Sequential Machines. ; Selvaraj H. (1998), Performance Oriented Decomposition Strategies for FPGA Based Technology Mapping, null. ; Rawski M. (2001), Functional Decomposition with an Efficient Input Support Selection for Sub-Functions Based on Information Relationship Measures, Journal of Systems Architecture, 47, 2, 137, doi.org/10.1016/S1383-7621(00)00062-X ; Jóźwiak L. (1997), Information Relationships and Measures: An Analysis Apparatus for Efficient Information System Synthesis, null, 13. ; Chojnacki A. (2011), High-Quality FPGA Designs Through Functional Decomposition with Sub-Function Input Support Selection Based on Information Relationship Measures, null, 409. ; Chojnacki A. (2000), An Effective and Efficient Method for Functional Decomposition of Boolean Functions Based on Information Relationships Measures, null. ; Lee C. (1959), Representation of Switching Circuits by Binary-Decision Diagrams, The Bell System Technical Journal, 985. ; Akers S. (1978), Binary Decision Diagrams, IEEE Transactions on Computers, 27, 6, 509, doi.org/10.1109/TC.1978.1675141 ; Bryant R. (1986), Graph-Based Algorithms for Boolean Function Manipulation, IEEE Transactions on Computers, 35, 6, 677, doi.org/10.1109/TC.1986.1676819 ; Sasao T. (1996), Representations of Discrete Functions, doi.org/10.1007/978-1-4613-1385-4 ; Micheli G. (1994), Synthesis and Optimization of Digital Circuits. ; Nowicka M. (1999), FPGA-Based Decomposition of Boolean Functions, Algorithms and Implementation, Advanced Computer Systems, 502. ; Rawski M. (2007), Efficient Variable Partitioning Method for Functional Decomposition, Electronics and Telecommunications Quarterly, 53, 1, 63. ; M. Rawski, <i>Evolutionary Algorithms</i>. Intech, 2011, ch. Evolutionary Algorithms in Decomposition-Based Logic Synthesis. ; Rawski M. (2006), Multilevel Synthesis of Finite State Machines Based on Symbolic Functional Decomposition, International Journal of Computational Intelligence and Applications, 6, 2, 257, doi.org/10.1142/S1469026806001988 ; Łuba T. (1995), Decomposition of Multiple-Valued Functions, null, 256. ; Lewandowski J. (2007), Application of Parallel Decomposition for Creation of Reduced Feed-Forward Neural Networks, null, 564. ; Selvaraj H. (2001), Functional Decomposition and Its Applications in Machine Learning and Neural Networks, International Journal of Computational Intelligence and Applications, 1, 3, 259, doi.org/10.1142/S1469026801000226 ; Chojnacki A. (2000), Multi-Valued Sub-Function Encoding in Functional Decomposition Based on Information Relationship Measures, null. ; Łuba T. (1994), Multi-Level Logic Synthesis Based on Decomposition, Microprocessors and Microsystems, 18, 8, 429, doi.org/10.1016/0141-9331(94)90090-6 ; Borowik G. (2009), A Notion of R-Admissibility and its Application in Logic Synthesis, null, 207.