Titlebook: Mathematical Foundations of Computer Science 2015; 40th International S Giuseppe F. Italiano,Giovanni Pighizzini,Donald T. Conference proce

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Dual VP Classes,ich no loss of computational power results if fan-in of gates is severely restricted, as well as presenting a natural class of arithmetic circuits in which no expressive power is lost by severely restricting the algebraic degree of the circuits. These results tend to support a conjecture regarding t

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An Algebraic Proof of the Real Number PCP Theorem,ely follows the proof of the original PCP theorem by Dinur [.]. In this paper we show that the theorem also can be derived using algebraic techniques similar to those employed by Arora et al. [., .] in the first proof of the PCP theorem. This needs considerable additional efforts. Due to severe prob

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On the Complexity of Hub Labeling (Extended Abstract),l point of view. However, theoretical questions such as NP-hardness and approximation guarantees for . algorithms have been left aside. We study the computational complexity of . and .. We prove that both . and . are NP-hard, and present upper and lower bounds on the approximation ratios of greedy .

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Almost All Functions Require Exponential Energy,er gate by designing the supply voltages to be closer to the threshold voltage of transistors. However, this energy savings comes at a cost of a greater probability of gate failure, which necessitates that the circuits must be more fault-tolerant, and thus contain more gates. Thus achieving energy s

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