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» Monotonicity in Calculational Proofs
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ECCC
2006
116views more  ECCC 2006»
13 years 7 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
STOC
2005
ACM
96views Algorithms» more  STOC 2005»
14 years 7 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
ECCC
2008
93views more  ECCC 2008»
13 years 6 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 1 months ago
Increasing the Gap between Descriptional Complexity and Algorithmic Probability
The coding theorem is a fundamental result of algorithmic information theory. A well known theorem of G´acs shows that the analog of the coding theorem fails for continuous sample...
Adam R. Day
TPHOL
2006
IEEE
14 years 1 months ago
Minlog
We extract on the computer a number of moduli of uniform continuity for the first few elements of a sequence of closed terms t of G¨odel’s T of type (N→N)→(N→N). The gen...
Helmut Schwichtenberg