Non-redundant random generation from weighted context-free languages

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 (n) numbers. The overall complexity is therefore dominated by the generation of k words, and the non-redundancy comes at a negligible cost.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Yann Ponty
• Keywords: Alternative Recursive Algorithm, CORR 2010, Education, Non-redundant Generation, Non-redundant Random Generation