Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space Complexity of Implementing Large Shared Registers   We prove two new space lower bounds for the problem of implementing a large
shared register using smaller physical shared registers. We focus on the case
where both the implemented and physical registers are single-writer, which
means they can be accessed concurrently by multiple readers but only by a
single writer. To strengthen our lower bounds, we let the physical registers be
atomic and we only require the implemented register to be regular. Furthermore,
the lower bounds hold for obstruction-free implementations, which means they
also hold for lock-free and wait-free implementations.
  If $m$ is the number values representable by the large register and $b$ is
the number of values representable by each physical register, our first lower
bound says that any obstruction-free implementation that has an invisible
reader requires at least $\lceil \frac{m-1}{b-1} \rceil$ physical registers. A
reader is considered invisible if it never writes to shared registers. This
lower bound is tight for the invisible reader case. We also prove a $\lceil
\min(\frac{m-1}{b-1}, r+\frac{\log{m}}{\log{b}}) \rceil$ space lower bound for
the general case, which covers both visible and invisible readers. In this
bound, $r$ represents the number of readers.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph