Uniform random generation of expressions respecting algebraic identities (Q1179541)

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scientific article; zbMATH DE number 24899
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English
Uniform random generation of expressions respecting algebraic identities
scientific article; zbMATH DE number 24899

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    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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