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A New Approach to the Decomposition of Boolean Functions by the Method of q-Partitions. II. Repeated Decomposition
Authors:B Ye Rytsar
Affiliation:(1) National University "L'vivska Politekhnika,", L'vov, Ukraine
Abstract:A new approach to the decomposition of Boolean functions that depend on n variables and are represented in various forms is considered. The approach is based on the method of #-partitioning of minterms and on the introduced concept of a decomposition clone. The theorem on simple disjunctive decomposition of full and partial functions is formulated. The approach proposed is illustrated by examples.
Keywords:Boolean functions  full and partial functions  decomposition of Boolean functions  method of q-partitions  decomposition clones  tabular representation of q-partitions  repeated decomposition  maximal clones of repeated decomposition
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