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CCA
2005
Springer
13 years 10 months ago
Effectively Open Real Functions
A function f is continuous iff the pre-image f −1[V ] of any open setV is open again. Dual to this topological7 property, f is called open iff the image f [U] of any open set U ...
Martin Ziegler
COCO
1992
Springer
82views Algorithms» more  COCO 1992»
13 years 9 months ago
Functional Characterizations of Uniform Log-depth and Polylog-depth Circuit Families
We characterize the classes of functions computable by uniform log-depth (NC1) and polylog-depth circuit families as closures of a set of base functions. (The former is equivalent...
Stephen A. Bloch
TLCA
2007
Springer
13 years 11 months ago
Predicative Analysis of Feasibility and Diagonalization
Abstract. Predicative analysis of recursion schema is a method to characterize complexity classes like the class of polynomial time functions. This analysis comes from the works of...
Jean-Yves Marion
ISAAC
2010
Springer
240views Algorithms» more  ISAAC 2010»
13 years 3 months ago
Interpretation of Stream Programs: Characterizing Type 2 Polynomial Time Complexity
We study polynomial time complexity of type 2 functionals. For that purpose, we introduce a first order functional stream language. We give criteria, named well-founded, on such pr...
Hugo Férée, Emmanuel Hainry, Mathieu...
ALT
2001
Springer
14 years 2 months ago
Learning Recursive Functions Refutably
Abstract. Learning of recursive functions refutably means that for every recursive function, the learning machine has either to learn this function or to refute it, i.e., to signal...
Sanjay Jain, Efim B. Kinber, Rolf Wiehagen, Thomas...