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» Alpha-Structural Recursion and Induction
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ICFP
1996
ACM
13 years 9 months ago
Inductive, Coinductive, and Pointed Types
An extension of the simply-typed lambda calculus is presented which contains both well-structured inductive and coinductive types, and which also identifies a class of types for w...
Brian T. Howard
JMLR
2006
78views more  JMLR 2006»
13 years 5 months ago
Inductive Synthesis of Functional Programs: An Explanation Based Generalization Approach
We describe an approach to the inductive synthesis of recursive equations from input/outputexamples which is based on the classical two-step approach to induction of functional Li...
Emanuel Kitzelmann, Ute Schmid
ICANN
2010
Springer
13 years 6 months ago
Neuro-symbolic Representation of Logic Programs Defining Infinite Sets
It has been one of the great challenges of neuro-symbolic integration to represent recursive logic programs using neural networks of finite size. In this paper, we propose to imple...
Ekaterina Komendantskaya, Krysia Broda, Artur S. d...
CORR
2006
Springer
135views Education» more  CORR 2006»
13 years 5 months ago
The Calculus of Algebraic Constructions
: This paper is concerned with the foundations of the Calculus of Algebraic Constructions (CAC), an extension of the Calculus of Constructions by inductive data types. CAC generali...
Frédéric Blanqui, Jean-Pierre Jouann...
ILP
2000
Springer
13 years 9 months ago
Induction of Recursive Theories in the Normal ILP Setting: Issues and Solutions
Induction of recursive theories in the normal ILP setting is a complex task because of the non-monotonicity of the consistency property. In this paper we propose computational solu...
Floriana Esposito, Donato Malerba, Francesca A. Li...