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ECCC
2002
86views more  ECCC 2002»
13 years 7 months ago
Classical Physics and the Church-Turing Thesis
Would physical laws permit the construction of computing machines that are capable of solving some problems much faster than the standard computational model? Recent evidence sugge...
Andrew Chi-Chih Yao
ECCC
2000
77views more  ECCC 2000»
13 years 7 months ago
Polynomial-Time Recognition of Minimal Unsatisfiable Formulas with Fixed Clause-Variable Difference
A formula (in conjunctive normal form) is said to be minimal unsatisfiable if it is unsatisfiable and deleting any clause makes it satisfiable. The deficiency of a formula is the ...
Herbert Fleischner, Stefan Szeider
ECCC
2010
111views more  ECCC 2010»
13 years 7 months ago
Tight Bounds on the Approximability of Almost-satisfiable Horn SAT and Exact Hitting Set}
We study the approximability of two natural Boolean constraint satisfaction problems: Horn satisfiability and exact hitting set. Under the Unique Games conjecture, we prove the fo...
Venkatesan Guruswami, Yuan Zhou
ECCC
2010
82views more  ECCC 2010»
13 years 7 months ago
On optimal proof systems and logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show t...
Yijia Chen, Jörg Flum
ECCC
2010
90views more  ECCC 2010»
13 years 7 months ago
A note on circuit lower bounds from derandomization
We present an alternate proof of the result by Kabanets and Impagliazzo that derandomizing polynomial identity testing implies circuit lower bounds. Our proof is simpler, scales b...
Scott Aaronson, Dieter van Melkebeek