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COCO
2007
Springer
94views Algorithms» more  COCO 2007»
15 years 10 months ago
Bounded Queries and the NP Machine Hypothesis
The NP machine hypothesis posits the existence of an ǫ > 0 and a nondeterministic polynomial-time Turing machine M which accepts the language 0∗ but for which no determinist...
Richard Chang, Suresh Purini
COCO
2007
Springer
109views Algorithms» more  COCO 2007»
15 years 10 months ago
Perfect Parallel Repetition Theorem for Quantum XOR Proof Systems
We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier’s verdict is a function of the XOR of the tw...
Richard Cleve, William Slofstra, Falk Unger, Sarva...
COCO
2007
Springer
114views Algorithms» more  COCO 2007»
15 years 10 months ago
Directed Planar Reachability is in Unambiguous Log-Space
We make progress in understanding the complexity of the graph reachability problem in the context of unambiguous logarithmic space computation; a restricted form of nondeterminism....
Chris Bourke, Raghunath Tewari, N. V. Vinodchandra...
COCO
2007
Springer
75views Algorithms» more  COCO 2007»
15 years 10 months ago
On the Theory of Matchgate Computations
Valiant has proposed a new theory of algorithmic computation based on perfect matchings and Pfaffians. We study the properties of matchgates—the basic building blocks in this n...
Jin-yi Cai, Vinay Choudhary, Pinyan Lu
133
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COCO
2007
Springer
111views Algorithms» more  COCO 2007»
15 years 7 months ago
Efficient Arguments without Short PCPs
Current constructions of efficient argument systems combine a short (polynomial size) PCP with a cryptographic hashing technique. We suggest an alternative approach for this probl...
Yuval Ishai, Eyal Kushilevitz, Rafail Ostrovsky