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» On a Generalization of the Stone-Weierstrass Theorem
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ICTAC
2010
Springer
15 years 4 months ago
Formal Modelling of Separation Kernel Components
Abstract. Separation kernels are key components in embedded applications. Their small size and widespread use in high-integrity environments make them good targets for formal model...
Andrius Velykis, Leo Freitas
JMIV
2010
87views more  JMIV 2010»
15 years 4 months ago
Infinite Photography: New Mathematical Model for High-Resolution Images
A new mathematical image model is introduced using the photographic process as the starting point. Images are represented as infinite sequences of photons allowing analysis at arb...
Tapio Helin, Matti Lassas, Samuli Siltanen
JCT
2011
83views more  JCT 2011»
15 years 1 months ago
Sandpile groups and spanning trees of directed line graphs
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
Lionel Levine
JSYML
2011
89views more  JSYML 2011»
15 years 1 months ago
Iterative differential Galois theory in positive characteristic: A model theoretic approach
Abstract. This paper introduces a natural extension of Kolchin’s differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-li...
Javier Moreno
SIGSOFT
2010
ACM
15 years 1 months ago
Language-based verification will change the world
We argue that lightweight, language-based verification is poised to enter mainstream industrial use, where it will have a major impact on software quality and reliability. We expl...
Tim Sheard, Aaron Stump, Stephanie Weirich