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» Mathematical Induction in Otter-Lambda
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CIE
2007
Springer
14 years 1 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
MPC
2010
Springer
159views Mathematics» more  MPC 2010»
13 years 11 months ago
Subtyping, Declaratively
Abstract. It is natural to present subtyping for recursive types coinductively. However, Gapeyev, Levin and Pierce have noted that there is a problem with coinductive definitions ...
Nils Anders Danielsson, Thorsten Altenkirch
APAL
2002
79views more  APAL 2002»
13 years 6 months ago
Extending the system T0 of explicit mathematics: the limit and Mahlo axioms
In this paper we discuss extensions of Feferman's theory T0 for explicit mathematics by the so-called limit and Mahlo axioms and present a novel approach to constructing natu...
Gerhard Jäger, Thomas Studer
IJCNN
2008
IEEE
14 years 1 months ago
A quantum calculus formulation of dynamic programming and ordered derivatives
— Much recent research activity has focused on the theory and application of quantum calculus. This branch of mathematics continues to find new and useful applications and there ...
John Seiffertt, Donald C. Wunsch
PPDP
2009
Springer
14 years 1 months ago
Reasoning with hypothetical judgments and open terms in hybrid
Hybrid is a system developed to specify and reason about logics, programming languages, and other formal systems expressed in rder abstract syntax (HOAS). An important goal of Hyb...
Amy P. Felty, Alberto Momigliano