Optimal Resilient Dynamic Dictionaries⋆

DAIMI Report Series

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Title Optimal Resilient Dynamic Dictionaries⋆
Creator Brodal, Gerth Stølting
Fagerberg, Rolf
Jørgensen, Allan Grønlund
Moruz, Gabriel
Mølhave, Thomas
Description Abstract. In the resilient memory model any memory cell can get cor- rupted at any time, and corrupted cells cannot be distinguished from uncorrupted cells. An upper bound, , on the number of corruptions and O(1) reliable memory cells are provided. In this model, a data structure is denoted resilient if it gives the correct output on the set of uncor- rupted elements. We propose two optimal resilient static dictionaries, a randomized one and a deterministic one. The randomized dictionary supports searches in O(log n + ) expected time using O(log ) random bits in the worst case, under the assumption that corruptions are not performed by an adaptive adversary. The deterministic static dictionary supports searches in O(log n + ) time in the worst case. We also in- troduce a deterministic dynamic resilient dictionary supporting searches in O(log n + ) time in the worst case, which is optimal, and updates in O(log n + ) amortized time. Our dynamic dictionary supports range queries in O(log n + + k) worst case time, where k is the size of the output.
Publisher Aarhus University
Date 2007-01-01
Type info:eu-repo/semantics/article
Peer-reviewed Article
Format application/pdf
Identifier http://ojs.statsbiblioteket.dk/index.php/daimipb/article/view/7222
Source DAIMI Report Series; No 585 (2007): PB-585 Optimal Resilient Dynamic Dictionaries
DAIMI Report Series; No 585 (2007): PB-585 Optimal Resilient Dynamic Dictionaries
Language eng
Relation http://ojs.statsbiblioteket.dk/index.php/daimipb/article/view/7222/6162

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