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On Some Problems of Mateescu Concerning Subword Occurrences

Ding C., Salomaa A.

Fundamenta Informaticae

2006

Vol. 73, nr 1-2

65-79

The paper investigates inference based on quantities |w|u, the number of occurrences of a word u as a scattered subword of w. Parikh matrices recently introduced are useful tools for such investigations. We introduce and study universal languages for Parikh matrices. We also obtain results concerning the inference from numbers |w|u to w, as well as from certain entries of a Parikh matrix to other entries.