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Electronic Colloquium on Computational Complexity

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TR03-018 | 28th March 2003
Matthias Galota, Heribert Vollmer

Functions Computable in Polynomial Space

We show that the class of integer-valued functions computable by
polynomial-space Turing machines is exactly the class of functions f
for which there is a nondeterministic polynomial-time Turing
machine with a certain order on its paths that on input x outputs a 3x3
matrix with entries from {-1,0,1} on each ... more >>>


TR03-017 | 27th March 2003
Peter Bro Miltersen, Jaikumar Radhakrishnan, Ingo Wegener

On Converting CNF to DNF

The best-known representations of boolean functions f are those of disjunctions of terms (DNFs) and as conjuctions of clauses (CNFs). It is convenient to define the DNF size of f as the minimal number of terms in a DNF representing f and the CNF size as the minimal number of ... more >>>


TR03-016 | 15th January 2003
Dimitrios Koukopoulos, Marios Mavronicolas, Paul Spirakis

FIFO is Unstable at Arbitrarily Low Rates

Revisions: 1

In this work, we study the stability of the {\sf FIFO} ({\sf
First-In-First-Out}) protocol in the context of Adversarial
Queueing Theory. As an important intermediate step, we consider
{\em dynamic capacities}, where each network link capacity may
arbitrarily take on values in the two-valued set of integers
$\{1,C\}$ for $C>1$ ... more >>>



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