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A CNF is minimal if no shorter CNF representing the same function exists, where by CNF length we mean either the number of clauses or the total number of literals (sum of clause lengths). In this paper we develop a decomposition approach that can be in certain situations applied to a CNF formula when proving its minimality. We give two examples in which this decomposition approach is used. Both examples...
The esary proschan (EP) method and other approximations, based on minimal cut sets (MCSs) calculation, are commonly used in reliability system analysis. However, it is time consuming and even impossible to calculate all MCSs of large systems. Cut off by order or by probability is applied to find the most important MCSs. In this paper we discuss the efficiency and accuracy of this approach by comparing...
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