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EUSFLAT
2009
144views Fuzzy Logic» more  EUSFLAT 2009»
13 years 6 months ago
Number-free Mathematics Based on T-norm Fuzzy Logic
Abstract--The paper presents a form of rendering classical mathematical notions by formal theories over suitable t-norm fuzzy logics in such a way that references to real numbers a...
Libor Behounek
TPHOL
2007
IEEE
14 years 2 months ago
Verifying Nonlinear Real Formulas Via Sums of Squares
Techniques based on sums of squares appear promising as a general approach to the universal theory of reals with addition and multiplication, i.e. verifying Boolean combinations of...
John Harrison
MLG
2007
Springer
14 years 2 months ago
A Universal Kernel for Learning Regular Languages
We give a universal kernel that renders all the regular languages linearly separable. We are not able to compute this kernel efficiently and conjecture that it is intractable, but...
Leonid Kontorovich
SIAMCOMP
2010
100views more  SIAMCOMP 2010»
13 years 7 months ago
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the ...
Markus Kirschmer, John Voight
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 6 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...