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CAV
2004
Springer
159views Hardware» more  CAV 2004»
15 years 12 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 10 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 6 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 6 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 6 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