Fast quantum verification for the formulas of predicate calculus

Abstract

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