Journal of Symbolic Logic

Anomalous Vacillatory Learning

Achilles A. Beros

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Abstract

In 1986, Osherson, Stob and Weinstein asked whether two variants of anomalous vacillatory learning, TxtFex$^*_*$ and TxtFext$^*_*$, could be distinguished [3]. In both, a machine is permitted to vacillate between a finite number of hypotheses and to make a finite number of errors. TxtFext$^*_*$-learning requires that hypotheses output infinitely often must describe the same finite variant of the correct set, while TxtFex$^*_*$-learning permits the learner to vacillate between finitely many different finite variants of the correct set. In this paper we show that TxtFex$^*_*$ $\neq$ TxtFext$^*_*$, thereby answering the question posed by Osherson, et al. We prove this in a strong way by exhibiting a family in TxtFex$^*_2 \setminus \mbox{TxtFext}^*_*$.

Article information

Source
J. Symbolic Logic Volume 78, Issue 4 (2013), 1183-1188.

Dates
First available in Project Euclid: 5 January 2014

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1388954000

Digital Object Identifier
doi:10.2178/jsl.7804090

Mathematical Reviews number (MathSciNet)
MR3156518

Zentralblatt MATH identifier
1290.68061

Keywords
Inductive Inference Learning Theory Vacillatory Learning

Citation

Beros, Achilles A. Anomalous Vacillatory Learning. J. Symbolic Logic 78 (2013), no. 4, 1183--1188. doi:10.2178/jsl.7804090. https://projecteuclid.org/euclid.jsl/1388954000


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