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CAV
2004
Springer
159views Hardware» more  CAV 2004»
15 years 9 months ago
Static Program Analysis via 3-Valued Logic
This paper reviews the principles behind the paradigm of “abstract interpretation via § -valued logic,” discusses recent work to extend the approach, and summarizes ongoing re...
Thomas W. Reps, Shmuel Sagiv, Reinhard Wilhelm
CIE
2006
Springer
15 years 7 months ago
Inverting Monotone Continuous Functions in Constructive Analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
BMCBI
2007
166views more  BMCBI 2007»
15 years 4 months ago
How to decide which are the most pertinent overly-represented features during gene set enrichment analysis
Background: The search for enriched features has become widely used to characterize a set of genes or proteins. A key aspect of this technique is its ability to identify correlati...
Roland Barriot, David J. Sherman, Isabelle Dutour
MST
2008
101views more  MST 2008»
15 years 4 months ago
Realizability interpretation of proofs in constructive analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
SIAMAM
2008
109views more  SIAMAM 2008»
15 years 4 months ago
Bifurcation Analysis of a General Class of Nonlinear Integrate-and-Fire Neurons
In this paper we define a class of formal neuron models being computationally efficient and biologically plausible, i.e., able to reproduce a wide range of behaviors observed in in...
Jonathan Touboul