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CORR
2008
Springer
116views Education» more  CORR 2008»
15 years 6 months ago
A statistical mechanical interpretation of algorithmic information theory
Abstract. We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, s...
Kohtaro Tadaki
WEA
2010
Springer
280views Algorithms» more  WEA 2010»
16 years 1 months ago
Practical Nearest Neighbor Search in the Plane
This paper shows that using some very simple practical assumptions, one can design an algorithm that finds the nearest neighbor of a given query point in O(log n) time in theory ...
Michael Connor, Piyush Kumar
LICS
2008
IEEE
16 years 26 days ago
On the Computational Complexity of Cut-Reduction
Using appropriate notation systems for proofs, cutreduction can often be rendered feasible on these notations. Explicit bounds can be given. Developing a suitable notation system ...
Klaus Aehlig, Arnold Beckmann
COMPGEOM
2004
ACM
15 years 12 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
CCL
1994
Springer
15 years 10 months ago
How to Win a Game with Features
We employ the model-theoretic method of Ehrenfeucht-Fra sse Games to prove the completeness of the theory CFT, which has been introduced in 22] for describing rational trees in a ...
Rolf Backofen, Ralf Treinen