Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions
Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus...
Ausführliche Beschreibung
Autor*in: |
Levashenko, V. G. [verfasserIn] |
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Artikel |
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Sprache: |
Englisch |
Erschienen: |
1996 |
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Anmerkung: |
© Plenum Publishing Corporation 1997 |
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Übergeordnetes Werk: |
Enthalten in: Cybernetics and systems analysis - Kluwer Academic Publishers-Plenum Publishers, 1992, 32(1996), 6 vom: Nov., Seite 777-793 |
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Übergeordnetes Werk: |
volume:32 ; year:1996 ; number:6 ; month:11 ; pages:777-793 |
Links: |
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DOI / URN: |
10.1007/BF02366859 |
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Katalog-ID: |
OLC2071453506 |
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520 | |a Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. | ||
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700 | 1 | |a Yanushkevich, S. N. |4 aut | |
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10.1007/BF02366859 doi (DE-627)OLC2071453506 (DE-He213)BF02366859-p DE-627 ger DE-627 rakwb eng 000 VZ Levashenko, V. G. verfasserin aut Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions 1996 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. Logic Program Processing Speed Parallel Algorithm Fast Algorithm Digital Signal Processing Shmerko, V. P. aut Yanushkevich, S. N. aut Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Plenum Publishers, 1992 32(1996), 6 vom: Nov., Seite 777-793 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:32 year:1996 number:6 month:11 pages:777-793 https://doi.org/10.1007/BF02366859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2021 GBV_ILN_4046 GBV_ILN_4319 GBV_ILN_4700 AR 32 1996 6 11 777-793 |
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10.1007/BF02366859 doi (DE-627)OLC2071453506 (DE-He213)BF02366859-p DE-627 ger DE-627 rakwb eng 000 VZ Levashenko, V. G. verfasserin aut Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions 1996 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. Logic Program Processing Speed Parallel Algorithm Fast Algorithm Digital Signal Processing Shmerko, V. P. aut Yanushkevich, S. N. aut Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Plenum Publishers, 1992 32(1996), 6 vom: Nov., Seite 777-793 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:32 year:1996 number:6 month:11 pages:777-793 https://doi.org/10.1007/BF02366859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2021 GBV_ILN_4046 GBV_ILN_4319 GBV_ILN_4700 AR 32 1996 6 11 777-793 |
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10.1007/BF02366859 doi (DE-627)OLC2071453506 (DE-He213)BF02366859-p DE-627 ger DE-627 rakwb eng 000 VZ Levashenko, V. G. verfasserin aut Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions 1996 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. Logic Program Processing Speed Parallel Algorithm Fast Algorithm Digital Signal Processing Shmerko, V. P. aut Yanushkevich, S. N. aut Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Plenum Publishers, 1992 32(1996), 6 vom: Nov., Seite 777-793 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:32 year:1996 number:6 month:11 pages:777-793 https://doi.org/10.1007/BF02366859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2021 GBV_ILN_4046 GBV_ILN_4319 GBV_ILN_4700 AR 32 1996 6 11 777-793 |
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10.1007/BF02366859 doi (DE-627)OLC2071453506 (DE-He213)BF02366859-p DE-627 ger DE-627 rakwb eng 000 VZ Levashenko, V. G. verfasserin aut Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions 1996 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1997 Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. Logic Program Processing Speed Parallel Algorithm Fast Algorithm Digital Signal Processing Shmerko, V. P. aut Yanushkevich, S. N. aut Enthalten in Cybernetics and systems analysis Kluwer Academic Publishers-Plenum Publishers, 1992 32(1996), 6 vom: Nov., Seite 777-793 (DE-627)131081225 (DE-600)1112963-3 (DE-576)029167868 1060-0396 nnns volume:32 year:1996 number:6 month:11 pages:777-793 https://doi.org/10.1007/BF02366859 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2021 GBV_ILN_4046 GBV_ILN_4319 GBV_ILN_4700 AR 32 1996 6 11 777-793 |
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abstract |
Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. © Plenum Publishing Corporation 1997 |
abstractGer |
Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. © Plenum Publishing Corporation 1997 |
abstract_unstemmed |
Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. This result makes it possible to use well-tried standard procedures of digital signal processing, which involve mapping of algorithms into homogeneous computing structures and hardware-software architectures. © Plenum Publishing Corporation 1997 |
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Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions |
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ppnlink |
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doi_str |
10.1007/BF02366859 |
up_date |
2024-07-04T03:34:09.393Z |
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1803617880673091584 |
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G.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Parallel algorithms for evaluation of directional Boolean derivatives of multivalued logic functions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1996</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Plenum Publishing Corporation 1997</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Conclusion Processing of logical data always requires special software and hardware tools. This is attributable to the specific features of the mathematical apparatus of the algebra of logical functions. Organization of parallel logical computation on the basis of the symbolic mathematical apparatus leads to complex logic programs. A different approach is proposed in this article. It is based on the matrix apparatus. Its use enables us to synthesize parallel and structurally homogeneous algorithms for the evaluation of directional logical derivatives of multivalued logic functions and implement their evaluation using standard matrixalgebra software or homogeneous computing systems. Homogeneous computing systems substantially accelerate the processing speed and can be built using VLSI technology. The operation graphs of the proposed algorithms have the same configuration as the graphs of fast algorithms used in digital signal processing. 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