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Equivalence and Transformations for Post Multivalued Algebras
March 1974 (vol. 23 no. 3)
pp. 294300
ASCII Text  x  
R.S. Nutter, R.E. Swartwout, D.C. Rine, "Equivalence and Transformations for Post Multivalued Algebras," IEEE Transactions on Computers, vol. 23, no. 3, pp. 294300, March, 1974.  
BibTex  x  
@article{ 10.1109/TC.1974.223925, author = {R.S. Nutter and R.E. Swartwout and D.C. Rine}, title = {Equivalence and Transformations for Post Multivalued Algebras}, journal ={IEEE Transactions on Computers}, volume = {23}, number = {3}, issn = {00189340}, year = {1974}, pages = {294300}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1974.223925}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Computers TI  Equivalence and Transformations for Post Multivalued Algebras IS  3 SN  00189340 SP294 EP300 EPD  294300 A1  R.S. Nutter, A1  R.E. Swartwout, A1  D.C. Rine, PY  1974 KW  Disjoint system of algebra KW  logic simplification KW  manyvalued logic KW  multiplevalued switching functions KW  multivalued logic KW  nonbinary logic KW  Post algebra. VL  23 JA  IEEE Transactions on Computers ER   
Four commonly used multivalued algebras, the disjoint system of Post algebra developed by Epstein, the monotonic system of algebra called Muehldorf by some authors, the free system of algebra introduced by Braddock and Epstein, and the Herrmann system of algebra generalized here from its original three element algebra, are shown to be isomorphic. Transformations are then developed for transforming from one algebra to another. An example problem is presented to illustrate transforming from any of the above to the disjoint system of Post algebra.
Index Terms:
Disjoint system of algebra, logic simplification, manyvalued logic, multiplevalued switching functions, multivalued logic, nonbinary logic, Post algebra.
Citation:
R.S. Nutter, R.E. Swartwout, D.C. Rine, "Equivalence and Transformations for Post Multivalued Algebras," IEEE Transactions on Computers, vol. 23, no. 3, pp. 294300, March 1974, doi:10.1109/TC.1974.223925
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