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DLT
2006
13 years 6 months ago
Finding Lower Bounds for Nondeterministic State Complexity Is Hard
We investigate the following lower bound methods for regular languages: The fooling set technique, the extended fooling set technique, and the biclique edge cover technique. It is ...
Hermann Gruber, Markus Holzer
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
13 years 10 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
CC
2007
Springer
121views System Software» more  CC 2007»
13 years 4 months ago
If NP Languages are Hard on the Worst-Case, Then it is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
DLT
2007
13 years 6 months ago
Inapproximability of Nondeterministic State and Transition Complexity Assuming P=!NP
Abstract. Inapproximability results concerning minimization of nondeterministic finite automata relative to given deterministic finite automata were obtained only recently, modul...
Hermann Gruber, Markus Holzer
ITA
2000
13 years 4 months ago
Construction of very hard functions for multiparty communication complexity
We consider the multiparty communication model de ned in 4] using the formalism from 8]. First, we correct an inaccuracy in the proof of the fundamental result of 6] providing a lo...
Ján Manuch