We show that in the context of nonuniform complexity, nondeterministic logarithmic space bounded computation can be made unambiguous. An analogous result holds for the class of problems reducible to context-free languages. In terms of complexity classes, this can be stated as NL/poly = UL/poly,\\ LogCFL/poly = UAuxPDA(log n, nO(1))/poly.
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Reinhardt et al. (2000) studied this question.
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