Random generation for finitely ambiguous context-free languages
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 6, pp. 499-512.

We prove that a word of length $n$ from a finitely ambiguous context-free language can be generated at random under uniform distribution in $O\left({n}^{2}logn\right)$ time by a probabilistic random access machine assuming a logarithmic cost criterion. We also show that the same problem can be solved in polynomial time for every language accepted by a polynomial time $1$-NAuxPDA with polynomially bounded ambiguity.

Classification : 68Q45,  68Q25
@article{ITA_2001__35_6_499_0,
author = {Bertoni, Alberto and Goldwurm, Massimiliano and Santini, Massimo},
title = {Random generation for finitely ambiguous context-free languages},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {499--512},
publisher = {EDP-Sciences},
volume = {35},
number = {6},
year = {2001},
zbl = {1005.68091},
mrnumber = {1922291},
language = {en},
url = {http://www.numdam.org/item/ITA_2001__35_6_499_0/}
}
Bertoni, Alberto; Goldwurm, Massimiliano; Santini, Massimo. Random generation for finitely ambiguous context-free languages. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 6, pp. 499-512. http://www.numdam.org/item/ITA_2001__35_6_499_0/

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