多值输入二值输出函数的变换及其在异积和表达式简化中的应用

Tsutomu Sasao
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引用次数: 29

摘要

给出了p值输入函数的一种变换。在此变换下,最小不相容或乘积和表达式(ESOPs)中的乘积个数是不变的。在p=2和p=4的情况下,给出了利用这种变换减少ESOPs中乘积项数目的算法。算术函数被简化以显示这种方法的能力。
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A transformation of multiple-valued input two-valued output functions and its application to simplification of exclusive-or sum-of-products expressions
A transformation for p-valued input functions is presented. The number of products in minimum exclusive-or sum-of-products expressions (ESOPs) is invariant under this transformation. Algorithms for reducing the number of product terms in ESOPs using this transformation are presented for p=2 and p=4. Arithmetic functions are simplified to show the ability of this approach.<>
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A floating-gate-MOS-based multiple-valued associative memory On the implementation of set-valued non-Boolean switching functions A transformation of multiple-valued input two-valued output functions and its application to simplification of exclusive-or sum-of-products expressions A formal semantical approach to fuzzy logic Fundamental properties of Kleene-Stone logic functions
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