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» Lower Bounds of Computational Power of a Synaptic Calculus
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PODS
2006
ACM
95views Database» more  PODS 2006»
14 years 7 months ago
Randomized computations on large data sets: tight lower bounds
We study the randomized version of a computation model (introduced in [9, 10]) that restricts random access to external memory and internal memory space. Essentially, this model c...
André Hernich, Martin Grohe, Nicole Schweik...
DAGSTUHL
2007
13 years 9 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
STACS
2007
Springer
14 years 1 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
LICS
2012
IEEE
11 years 9 months ago
The Ordinal-Recursive Complexity of Timed-arc Petri Nets, Data Nets, and Other Enriched Nets
—We show how to reliably compute fast-growing functions with timed-arc Petri nets and data nets. This construction provides ordinal-recursive lower bounds on the complexity of th...
Serge Haddad, Sylvain Schmitz, Philippe Schnoebele...
RTSS
2009
IEEE
14 years 2 months ago
Multiprocessor Extensions to Real-Time Calculus
Abstract—Many embedded platforms consist of a heterogeneous collection of processing elements, memory modules, and communication subsystems. These components often implement diff...
Hennadiy Leontyev, Samarjit Chakraborty, James H. ...