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arXiv · 1012.4560

Non-redundant random generation from weighted context-free languages

Yann Ponty
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Abstract

We address the non-redundant random generation of k words of length n from a context-free language. Additionally, we want to avoid a predefined set of words. We study the limits of a rejection-based approach, whose time complexity is shown to grow exponentially in k in some cases. We propose an alternative recursive algorithm, whose careful implementation allows for a non-redundant generation of k words of size n in O(kn log n) arithmetic operations after the precomputation of O(n) numbers. The overall complexity is therefore dominated by the generation of k words, and the non-redundancy comes at a negligible cost.

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Yann Ponty. 2010-12-21. Non-redundant random generation from weighted context-free languages. https://arxiv.org/abs/1012.4560

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