Uniform random generation of expressions respecting algebraic identities (Q1179541)
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scientific article; zbMATH DE number 24899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform random generation of expressions respecting algebraic identities |
scientific article; zbMATH DE number 24899 |
Statements
Uniform random generation of expressions respecting algebraic identities (English)
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26 June 1992
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Algorithms for the uniform random generation of a class of formal expressions are considered. This class contains arithmetical expressions, tree representations, algebraic expressions and program structures. A modification of the algorithm for context-free languages from \textit{T. Hickey} and \textit{J. Cohen} [SIAM J. Comput. 12, 645-655 (1983; Zbl 0524.68046)] is used. A parallelizable algorithm for a speed up in the generation time is constructed.
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uniform random generation
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arithmetical expressions
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tree representations
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algebraic expressions
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parallelizable algorithm
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associative
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commutative
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simply generated families of trees
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recognizable families of trees
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enumeration problems
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0.8546711
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0.8446321
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0.8436435
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0.8350595
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0.8350595
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0.8318936
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