
This Article  
 
Share  
Bibliographic References  
Add to:  
Digg Furl Spurl Blink Simpy Del.icio.us Y!MyWeb  
Search  
 
ASCII Text  x  
P.R. Bhattacharjee, S.K. Basu, J.C. Paul, "Translation of the Problem of Complete Test Set Generation to PseudoBoolean Programming," IEEE Transactions on Computers, vol. 40, no. 7, pp. 864867, July, 1991.  
BibTex  x  
@article{ 10.1109/12.83624, author = {P.R. Bhattacharjee and S.K. Basu and J.C. Paul}, title = {Translation of the Problem of Complete Test Set Generation to PseudoBoolean Programming}, journal ={IEEE Transactions on Computers}, volume = {40}, number = {7}, issn = {00189340}, year = {1991}, pages = {864867}, doi = {http://doi.ieeecomputersociety.org/10.1109/12.83624}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Computers TI  Translation of the Problem of Complete Test Set Generation to PseudoBoolean Programming IS  7 SN  00189340 SP864 EP867 EPD  864867 A1  P.R. Bhattacharjee, A1  S.K. Basu, A1  J.C. Paul, PY  1991 KW  complete test set generation; pseudoBoolean programming; logical expressions; real transforms; Boolean function; Boolean functions; formal logic; logic programming; logic testing. VL  40 JA  IEEE Transactions on Computers ER   
An attempt is made to demonstrate that the problem of complete test set generation is amenable to the problem of pseudoBoolean programming. For this purpose, various types of faults, viz., single faults, multiple faults, and bridging faults, are considered. The key issue is to obtain logical expressions for the primary output line in terms of different faulty internal nodes to find real transforms. Using standard rules, the real transforms of a Boolean function can be obtained directly without any algebraic manipulation.
[1] S. G. Papaioannou, "Optimal test generation in combinational networks by pseudoBoolean programming,"IEEE Trans. Comput., vol. C26, pp. 553560, June 1977.
[2] S. G. Papaioannou, "The real transform method in fault diagnosis," Ph.D. dissertation, Leigh Univ., Bethlehem, PA, 1975.
[3] D. B. Armstrong, "On finding a nearly minimal set of fault detection tests for combinational logic nets,"IEEE Trans. Electron. Comput., vol. EC15, pp. 6673, Feb. 1966.
[4] F. F. Sellers, M. Y. Hsiao, and L. W. Bearnson, "Analyzing errors with Boolean difference,"IEEE Trans. Comput., vol. C17, pp. 676683, July 1968.
[5] S. S. Yau and Y. S. Tang, "An efficient algorithm for generating complete test set for combinational logic circuits,"IEEE Trans. Comput., vol. C 20, pp. 12451251, Nov, 1971.
[6] C. T. Ku and G. M. Masson, "The Boolean difference and multiple fault analysis,"IEEE Trans. Comput., vol. C24, pp. 6271, Jan. 1975.
[7] J. P. Roth, "Diagnosis of automata failures: A calculus and a method,"IBM J. Res. Develop., vol. 10, pp. 278291, July 1966.
[8] S. B. Akers, "Fault diagnosis as a graph coloring problem,"IEEE Trans. Comput., vol. C23, no. 7, pp. 706712, July 1974.
[9] S. K. Basu, J. C. Paul, and P. R. Bhattacharjee, "Complete test set generation for bridging faults in combinational logic circuits,"Inform. Sci., vol. 38, no. 3, pp. 257269, June 1986.
[10] P. Goel, "An implicit enumeration algorithm to generate tests for combinational logic circuits,"IEEE Trans. Comput., vol. C30, no. 3, pp. 215222, Mar. 1981.
[11] H. Fujiwara and T. Shimono, "On the acceleration of test generation algorithms,"IEEE Trans. Comput., vol. C32, no. 12, pp. 11371144, Dec. 1983.
[12] E. I. Muehldorf and A. D. Savakar, "LSI logic testingAn overview,"IEEE Trans. Comput., vol. C30, no. 1, pp. 117, Jan, 1981.
[13] P. Hammer and S. Rudeanu,Boolean Methods in Operation Research. New York: SpringerVerlag, 1968.
[14] P. Hansen, "Un algorithme S. E. P. pour les programmes pseudoBooleans nonlineares," Cah. du Centre d'Etude de Rech., Operationelle, vol. 11, pp. 2644, 1969.
[15] I. Berman, "A branchandbound method for the maximization of a pseudoBoolean function," Tech. Rep., Faculty of Math., Univ. of Waterloo, Ont., Canada, 1969.
[16] P. Hammer and U. Peled, "On the maximization of a pseudoBoolean function,"J. ACM, vol. 19, pp. 265282, Apr. 1972.
[17] R. Bellman,Dynamic Programming. Princeton, NJ: Princeton University Press, 1957.