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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»
15 years 9 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
14 years 11 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
15 years 3 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
13 years 15 hour 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
15 years 4 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. ...