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CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 6 months ago
Strong direct product theorems for quantum communication and query complexity
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
Alexander A. Sherstov
CORR
2007
Springer
151views Education» more  CORR 2007»
13 years 7 months ago
The Complexity of Games on Higher Order Pushdown Automata
Abstract. We prove an n-exptime lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches th...
Thierry Cachat, Igor Walukiewicz
FCT
2007
Springer
14 years 1 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
13 years 7 months ago
The Power of Priority Algorithms for Facility Location and Set Cover
We apply and extend the priority algorithm framework introduced by Borodin, Nielsen, and Rackoff to define "greedy-like" algorithms for the (uncapacitated) facility locat...
Spyros Angelopoulos, Allan Borodin
CSR
2008
Springer
13 years 9 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender