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arXiv · 1303.2967

Quantum finite automata and linear context-free languages: a decidable problem

A. Bertoni·Ch. Choffrut·F. D'Alessandro
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Abstract

We consider the so-called measure once finite quantum automata model introduced by Moore and Crutchfield in 2000. We show that given a language recognized by such a device and a linear context-free language, it is recursively decidable whether or not they have a nonempty intersection. This extends a result of Blondel et al. which can be interpreted as solving the problem with the free monoid in place of the family of linear context-free languages.

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A. Bertoni, Ch. Choffrut, F. D'Alessandro. 2013-03-12. Quantum finite automata and linear context-free languages: a decidable problem. https://arxiv.org/abs/1303.2967

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