Fast quantum verification for the formulas of predicate calculus

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Quantum algorithm is constructed which verifies the formulas of predicate calculus in time $O(\sqrt N)$ with bounded error probability, where $N$ is the time required for classical algorithms. This algorithm uses the polynomial number of simultaneous oracle queries. This is a modification of the result of Buhrman, Cleve and Wigderson quant-ph/9802040.
Reference to the work quant-ph/9802040 with the similar result is added

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