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CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 9 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
JUCS
2008
134views more  JUCS 2008»
13 years 9 months ago
A Tool for Reasoning about Qualitative Temporal Information: the Theory of S-languages with a Lisp Implementation
: Reasoning about incomplete qualitative temporal information is an essential topic in many artificial intelligence and natural language processing applications. In the domain of n...
Irène Durand, Sylviane R. Schwer
IANDC
2007
133views more  IANDC 2007»
13 years 8 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
Alexander Rabinovich
PR
2006
122views more  PR 2006»
13 years 8 months ago
Fast multiscale clustering and manifold identification
We present a novel multiscale clustering algorithm inspired by algebraic multigrid techniques. Our method begins with assembling data points according to local similarities. It us...
Dan Kushnir, Meirav Galun, Achi Brandt
SIAMSC
2008
113views more  SIAMSC 2008»
13 years 8 months ago
Limited Data X-Ray Tomography Using Nonlinear Evolution Equations
A novel approach to the X-ray tomography problem with sparse projection data is proposed. Non-negativity of the X-ray attenuation coefficient is enforced by modelling it as max{(x)...
Ville Kolehmainen, Matti Lassas, Samuli Siltanen