J Austral Math Soc Ser A 53 pp1--8, 1992.

The AND/OR Theorem for Perceptrons

I. D. Bruce and D. Easdown

(Received 7 March 1990)

Abstract

Minsky and Papert claim that, for any positive integer n, there exists predicates of order 1 whose conjunction and disjunction have order greater than n. Their proof is amended and a stronger result obtained of which their claim is a special case.

1991 AMS Subject Classification: 68G99

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Authors

I. D. Bruce: Curtin University, GPO Box U1987, Perth WA 6001, Australia.
D. Easdown: University of Sydney, NSW 2006, Australia.

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Last Modified: Mon Feb 3 9:46:12 2003