Vernaeve, Hans
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Logic and Analysis Vol 1 (2007-8) - Articles
Full algebra of generalized functions and non-standard asymptotic analysis
Details 205-234
Journal of Logic and Analysis ISSN: 1759-9008
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Keywords
Analytic sets
Automatic continuity
Computable presentations
Continuous logic
Effective completeness
Lusin's Theorem
Metric structures
Polish group, Non-singular transformation
approximation algorithms, polynomial-time approximation scheme, traveling salesperson problem, analyst traveling salesman problem
co-analytic sets
collapsing hierarchy
computability
computable analysis
infinite measure-preserving transformation
intuitionistic separation theorems
model theory, von Neumann algebra, free entropy, random matrix, strongly 1-bounded, ultraproduct
nonstandard analysis
o-minimal structures, log-analytic functions, exponential number, preparation theorems
proof mining
pseudo-arc
solenoid