Separating complexity classes related to bounded alternating ω-branching programs

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Abstract

By means of algebraical rank arguments we derive some exponential lower bounds on the size of bounded alternating ω-branching programs. Together with some polynomial upper bounds these lower bounds make possible the complete separation of the restricted complexity classes NLba, co-NLba, ⊕Lba, MODp-Lba, p prime.

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Meinel, C., & Waack, S. (1993). Separating complexity classes related to bounded alternating ω-branching programs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 762 LNCS, pp. 379–388). Springer Verlag. https://doi.org/10.1007/3-540-57568-5_269

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