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Neural Networks and Computational Learning Theory

 

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NeuroCOLT Technical Report NC-TR-98-015

Equality Is a Jump

Paolo Boldi & Sebastiano Vigna
Dipartimento di Scienze dell'Informazione
Università degli Studi di Milano

Keywords: perceptron, decision tree, maximal margin

Received: 08-JUN-98


Abstract
We define a notion of degree of unsolvability for subsets of $R^n$, (where $R$ is a real closed Archimedean field) and prove that, in contrast to Type 2 computability, the presence of exact equality in the BSS model forces exactly one jump of the unsolvability degree of decidable sets.

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