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FROCOS
2000
Springer
13 years 11 months ago
Non-Trivial Symbolic Computations in Proof Planning
Abstract. We discuss a pragmatic approach to integrate computer algebra into proof planning. It is based on the idea to separate computation and veri cation and can thereby exploit...
Volker Sorge
COMGEO
2010
ACM
13 years 8 months ago
Approximate centerpoints with proofs
We present the IteratedTverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S Rd with running time subexponential in d. The alg...
Gary L. Miller, Donald Sheehy
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
14 years 8 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
STOC
2009
ACM
146views Algorithms» more  STOC 2009»
14 years 8 months ago
Conditional hardness for satisfiable 3-CSPs
In this paper we study a fundamental open problem in the area of probabilistic checkable proofs: What is the smallest s such that NP naPCP1,s[O(log n), 3]? In the language of har...
Ryan O'Donnell, Yi Wu
SIAMCOMP
1998
125views more  SIAMCOMP 1998»
13 years 7 months ago
Free Bits, PCPs, and Nonapproximability-Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs (PCPs) and the approximability of NP-optimization problems. The emphasis is on p...
Mihir Bellare, Oded Goldreich, Madhu Sudan