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» Simple structures axiomatized by almost sure theories
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RSA
1998
59views more  RSA 1998»
13 years 4 months ago
Random unary predicates: Almost sure theories and countable models
Let Un,p be the random unary predicate and Tk the almost sure first-order theory of Un,p under the linear ordering, where k is a positive integer and n−1/k p(n) n−1/(k+1) . F...
Joel Spencer, Katherine St. John
AISC
2008
Springer
13 years 7 months ago
High-Level Theories
We introduce high-level theories in analogy with high-level programming languages. The basic point is that even though one can define many theories via simple, low-level axiomatiza...
Jacques Carette, William M. Farmer
AMAI
2002
Springer
13 years 4 months ago
A Complete Axiomatization for Blocks World
Blocks World (BW) has been one of the most popular model domains in AI history. However, there has not been serious work on axiomatizing the state constraints of BW and giving jus...
Stephen A. Cook, Yongmei Liu
STOC
2003
ACM
188views Algorithms» more  STOC 2003»
14 years 5 months ago
Almost random graphs with simple hash functions
We describe a simple randomized construction for generating pairs of hash functions h1, h2 from a universe U to ranges V = [m] = {0, 1, . . . , m - 1} and W = [m] so that for ever...
Martin Dietzfelbinger, Philipp Woelfel
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 5 months ago
Incremental Sampling-based Algorithms for Optimal Motion Planning
During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs), have been shown to work well in practice and to po...
Sertac Karaman, Emilio Frazzoli