Resilient dictionaries

Optimal Resilient Dynamic Dictionaries

We investigate the problem of computing in the presence of faults that may arbitrarily (i.e., adversarially) corrupt memory locations. In the faulty memory model, any memory cell can get corrupted at any time, and corrupted cells cannot be distinguished from uncorrupted ones. An upper bound δ on the number of corruptions and O(1) reliable memory cells are provided. In this model, we focus on th...

Lossy Dictionaries

Dictionaries Revisited

Dictionaries are probably the most well studied class of data structures. A dictionary supports insertions, deletions, membership queries, and usually successor, predecessor, and extract-min. Given their centrality to both the theory and practice of data structures, surprisingly basic questions about them remain unsolved and sometimes even unposed. This talk focuses on questions that arise from...

Lossy Dictionaries

Bloom ltering is an important technique for space e cient storage of a conservative approximation of a set S. The set stored may have up to some speci ed number of false positive members, but all elements of S are included. In this paper we consider lossy dictionaries that are also allowed to have false negatives , i.e., leave out elements of S. The aim is to maximize the weight of included key...

Deterministic Dictionaries

It is shown that a static dictionary that offers constant-time access to n elements with w-bit keys and occupies O(n) words of memory can be constructed deterministically in O(n log n) time on a unit-cost RAM with word length w and a standard instruction set including multiplication. Whereas a randomized construction working in linear expected time was known, the running time of the best previo...