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» Proofs as Polynomials
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DCG
1998
66views more  DCG 1998»
13 years 7 months ago
The Volume as a Metric Invariant of Polyhedra
It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron....
Idzhad Kh. Sabitov
RSA
2006
74views more  RSA 2006»
13 years 7 months ago
Robust locally testable codes and products of codes
We continue the investigation of locally testable codes, i.e., error-correcting codes for whom membership of a given word in the code can be tested probabilistically by examining ...
Eli Ben-Sasson, Madhu Sudan
FOCS
1998
IEEE
13 years 11 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio
ICML
1996
IEEE
14 years 8 months ago
On the Learnability of the Uncomputable
Within Valiant'smodel of learning as formalized by Kearns, we show that computable total predicates for two formallyuncomputable problems the classical Halting Problem, and t...
Richard H. Lathrop
IPL
2007
99views more  IPL 2007»
13 years 7 months ago
Substitutions into propositional tautologies
We prove that there is a polynomial time substitution (y1, . . . , yn) := g(x1, . . . , xk) with k << n such that whenever the substitution instance A(g(x1, . . . , xk)) of ...
Jan Krajícek