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» On the Complexity of Theory Curbing
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IJAC
2010
231views more  IJAC 2010»
15 years 3 months ago
Descriptive Complexity of Finite Abelian Groups
Title of dissertation: MODEL THEORY AND COMPLEXITY THEORY Walid Gomaa Doctor of Philosophy, 2007 Dissertation directed by: Professor William Gasarch Department of Computer Science...
Walid Gomaa
CADE
2000
Springer
15 years 10 months ago
An Infrastructure for Intertheory Reasoning
Abstract. The little theories method, in which mathematical reasoning is distributed across a network of theories, is a powerful technique for describing and analyzing complex syst...
William M. Farmer
DMTCS
2003
93views Mathematics» more  DMTCS 2003»
15 years 7 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
PODC
2012
ACM
13 years 8 months ago
The cost of fault tolerance in multi-party communication complexity
Multi-party communication complexity involves distributed computation of a function over inputs held by multiple distributed players. A key focus of distributed computing research...
Binbin Chen, Haifeng Yu, Yuda Zhao, Phillip B. Gib...
CORR
2007
Springer
124views Education» more  CORR 2007»
15 years 6 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel