Name
Abstract | ||
|---|---|---|
Several underlying structural and functional factors that determine the fault behavior of a network are not yet well understood. In this paper, we show that there exists a large class of Boolean functions, called root functions, which can never appear as faulty response in an irredundant two-level circuit even when any arbitrary multiple stuck-at faults are injected. Conversely, we show that any other Boolean function can appear as a faulty response in an irredundant realization of some root function under certain stuck-at faults. We characterize this new class of functions and show that for n variables, their number is exactly equal to the number of independent dominating sets (Harary and Livingston, Appl. Math. Lett., 1993) in a Boolean n-cube. Similar properties are observed for multiple-valued logic functions as well. Finally, we discuss its application to logic design and point out some open problems. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/ISMVL.2014.49 | Multiple-Valued Logic |
Keywords | Field | DocType |
Boolean functions,fault diagnosis,logic design,logic testing,multivalued logic circuits,AND-OR circuits,Boolean functions,Boolean n-cube,arbitrary stuck-at faults,dominating set,fault behavior,faulty response,functional factor,logic design,multiple-valued logic functions,root functions,structural factor,two-level circuit,Boolean functions,Multiple-valued functions,hypercube,redundancy,stuck-at faults,testing | Boolean network,Boolean function,Discrete mathematics,Boolean circuit,Computer science,Parity function,Product term,And-inverter graph,Boolean expression,Circuit minimization for Boolean functions | Conference |
Volume | ISSN | Citations |
abs/1309.3993 | 0195-623X | 2 |
PageRank | References | Authors |
0.40 | 16 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Debesh K. Das | 1 | 132 | 24.41 |
| Debabani Chowdhury | 2 | 2 | 0.40 |
| Bhargab B. Bhattacharya | 3 | 848 | 118.02 |
| Tsutomu Sasao | 4 | 1083 | 141.62 |