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CIE
2007
Springer
15 years 4 months ago
Feasible Depth
This paper introduces two complexity-theoretic formulations of Bennett’s computational depth: finite-state depth and polynomial-time depth. It is shown that for both formulation...
David Doty, Philippe Moser
CIE
2007
Springer
15 years 1 months ago
Definability in the Homomorphic Quasiorder of Finite Labeled Forests
Abstract. We prove that for any k 3 each element of the homomorphic quasiorder of finite k-labeled forests is definable, provided that the minimal non-smallest elements are allowe...
Oleg V. Kudinov, Victor L. Selivanov
CIE
2007
Springer
15 years 4 months ago
Input-Dependence in Function-Learning
In the standard model of inductive inference, a learner gets as input the graph of a function, and has to discover (in the limit) a program for the function. In this paper, we cons...
Sanjay Jain, Eric Martin, Frank Stephan
CIE
2007
Springer
15 years 4 months ago
Refocusing Generalised Normalisation
Abstract. When defined with general elimination/application rules, natural deduction and λ-calculus become closer to sequent calculus. In order to get real isomorphism, normalisa...
José Espírito Santo
CIE
2007
Springer
15 years 4 months ago
RZ: A Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice
Realizability theory is not just a fundamental tool in logic and computability. It also has direct application to the design and implementation of programs, since it can produce co...
Andrej Bauer, Christopher A. Stone