We prove that a word of length from a finitely ambiguous context-free language can be generated at random under uniform distribution in 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 -NAuxPDA with polynomially bounded ambiguity.
@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}, volume = {35}, year = {2001}, pages = {499-512}, mrnumber = {1922291}, zbl = {1005.68091}, language = {en}, url = {http://dml.mathdoc.fr/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) pp. 499-512. http://gdmltest.u-ga.fr/item/ITA_2001__35_6_499_0/
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