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Titlebook: Comparative Analysis of Deterministic and Nondeterministic Decision Trees; Mikhail Moshkov Book 2020 The Editor(s) (if applicable) and The

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Matrices of Lower Local Bounds. For a given signature ., each local lower type ., ., and each pair . such that in the matrix . at the intersection of the row with index . and the column with index . either . or . stays, we study upper and lower bounds on the function . true for any sccf-triple ..
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Book 2020ation; and global, when decision trees can use arbitrary attributes from the information system. For both approaches, it describes all possible types of relationships among the four parameters considered and discusses the algorithmic problems related to decision tree optimization. The results presen
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Bounds on Complexity and Algorithms for Construction of Nondeterministic and Strongly Nondeterministic and strongly nondeterministic decision trees. The bounds on complexity are true for arbitrary complexity functions. The approach to proof of lower bounds assumes that the complexity functions have the property .. The considered algorithms require complexity functions having properties ., ., and .
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Closed Classes of Boolean Functionsterministic, and strongly nondeterministic decision trees is studied. The obtained results have some independent interest. Proofs of these results illustrate mainly methods for the proof of lower bounds on complexity of decision trees.
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