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DC
2000
15 years 6 months ago
Verification of the randomized consensus algorithm of Aspnes and Herlihy: a case study
ms, to use abstraction mappings to prove probabilistic properties, and to apply random walk theory in a distributed computational setting. We apply all of these techniques to analy...
Anna Pogosyants, Roberto Segala, Nancy A. Lynch
APAL
1999
68views more  APAL 1999»
15 years 6 months ago
Toward Categoricity for Classes with no Maximal Models
We provide here the first steps toward a Classification Theory of Elementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categori...
Saharon Shelah, Andrés Villaveces
JSYML
2002
78views more  JSYML 2002»
15 years 6 months ago
An Axiomatic Presentation of The Nonstandard Methods in Mathematics
A nonstandard set theory ZFC is proposed that axiomatizes the nonstandard embedding . Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are...
Mauro Di Nasso
NA
2007
70views more  NA 2007»
15 years 6 months ago
Multivariate polynomial interpolation: conjectures concerning GC-sets
GC-sets are subsets T of Rd of cardinality dim Πn for which, for each τ ∈ T, there are n hyperplanes whose union contains all of T except for τ, thus making interpolation to a...
Carl de Boor
CONCUR
2009
Springer
15 years 4 months ago
On Convergence of Concurrent Systems under Regular Interactions
Convergence is often the key liveness property for distributed systems that interact with physical processes. Techniques for proving convergence (asymptotic stability) have been ex...
Pavithra Prabhakar, Sayan Mitra, Mahesh Viswanatha...