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CADE
1992
Springer
13 years 8 months ago
Little Theories
In the "little theories" version of the axiomatic method, different portions of mathematics are developed in various different formal axiomatic theories. Axiomatic theor...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 4 months ago
A polytime proof of correctness of the Rabin-Miller algorithm from Fermat's little theorem
Although a deterministic polytime algorithm for primality testing is now known ([4]), the Rabin-Miller randomized test of primality continues being the most efficient and widely u...
Grzegorz Herman, Michael Soltys
AAAI
1998
13 years 6 months ago
Iterated Phantom Induction: A Little Knowledge Can Go a Long Way
Weadvance a knowledge-based learning method that augments conventional generalization to permit concept acquisition in failure domains. These are domains in whichlearning must pro...
Mark Brodie, Gerald DeJong
CADE
2000
Springer
13 years 9 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
MSCS
2007
94views more  MSCS 2007»
13 years 4 months ago
On the status of perturbation theory
Perturbation theory has always been an important part of natural sciences. From celestial mechanics to quantum theory of fields it has always played a central role that this litt...
Thierry Paul