Complexity of monotonic functions (Q1820753)
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scientific article; zbMATH DE number 3995585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complexity of monotonic functions |
scientific article; zbMATH DE number 3995585 |
Statements
Complexity of monotonic functions (English)
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1985
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In this paper we obtain the asymptotic form of the Shannon function for the complexity of realization, using contact circuits \((L_ k(n))\), formulas in the complete basis \((L^ b_{\vee}(n))\) and circuits of functional elements (FE) in monotone basis \((L_ B(n))\) of monotone Boolean functions (BF) of n variables (only the order was known earlier).
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asymptotic form of the Shannon function
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contact circuits
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circuits of functional elements
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monotone Boolean functions
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0.9526575
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0.9015632
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0.8982278
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