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DMTCS
2003
93views Mathematics» more  DMTCS 2003»
13 years 10 months ago
Two Philosophical Applications of Algorithmic Information Theory
Two philosophical applications of the concept of program-size complexity are discussed. First, we consider the light program-size complexity sheds on whether mathematics is invent...
Gregory J. Chaitin
CORR
1998
Springer
82views Education» more  CORR 1998»
13 years 8 months ago
Tractability of Theory Patching
In this paper we consider the problem of theory patching, in which we are given a domain theory, some of whose components are indicated to be possibly awed, and a set of labeled t...
Shlomo Argamon-Engelson, Moshe Koppel
JSYML
2008
63views more  JSYML 2008»
13 years 8 months ago
Classifying model-theoretic properties
In 2004 Csima, Hirschfeldt, Knight, and Soare [1] showed that a set A T 0 is nonlow2 if and only if A is prime bounding, i.e. for every complete atomic decidable theory T , there i...
Chris J. Conidis
ECCC
2011
171views ECommerce» more  ECCC 2011»
13 years 3 days ago
Testing Linear Properties: Some general themes
The last two decades have seen enormous progress in the development of sublinear-time algorithms — i.e., algorithms that examine/reveal properties of “data” in less time tha...
Madhu Sudan
SIGMOD
2005
ACM
99views Database» more  SIGMOD 2005»
14 years 8 months ago
Query answering exploiting structural properties
We review the notion of hypertree width, a measure of the degree of cyclicity of hypergraphs that is useful for identifying and solving efficiently easy instances of hard problems...
Francesco Scarcello