Titlebook: Exploring New Frontiers of Theoretical Informatics; IFIP 18th World Comp Jean-Jacques Levy,Ernst W. Mayr,John C. Mitchell Conference procee

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Reversible Circuit Realizations of Boolean Functionsblock cyphers. In 1980, Toffoli showed how to realize a Boolean function by a reversible circuit, however the resulting complexity of such circuits has remained an open problem. We investigate the reversible circuit complexity of families of Boolean functions and derive conditions that characterize

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Degree Bounds on Polynomials and Relativization Theoryworld, (non)uniform gap-definability, and relativized separations. This way, we settle certain open questions of Hemaspaandra, Ramachandran & Zimand [HRZ95 ] and Fenner, Fortnow & Kurtz [FFK94], extend results of Hemaspaandra, Jain & Vereshchagin [HJV93] and construct oracles achieving desired resul

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A Matrix Q-Analogue of the Parikh Mapepresents a word . over a .-. alphabet as a .-. upper-triangular matrix with entries that are nonnegative integral polynomials in variable .. We show that by appropriately embedding the .-. alphabet into the .+. alphabet and putting .=., we obtain the extension of the Parikh mapping to (.+. (numeric

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The Inherent Queuing Delay of Parallel Packet Switchesced by the PPS’s demultiplexing algorithm, relative to an optimal work-conserving switch..We show that the inherent queuing delay and delay jitter of a symmetric and fault-tolerant . PPS, where every demultiplexing algorithm dispatches cells to all the middle-stage switches is ., if there are no buf

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