DIVERSITY-BASED INFERENCE OF FINITE AUTOMATA.

Ronald L. Rivest; Robert E. Schapire

doi:10.1109/sfcs.1987.21

DIVERSITY-BASED INFERENCE OF FINITE AUTOMATA.

Ronald L. Rivest, Robert E. Schapire

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

25 Scopus citations

Abstract

A novel procedure is presented for inferring the structure of a finite-state automaton (FSA) from its input/output behavior, using access to the automaton to perform experiments. The procedure uses a novel representation for FSAs that is based on the notion of equivalence between tests. The number of such equivalence classes is called the diversity of the automaton; the diversity may be as small as the logarithm of the number of states of the automaton. The size of the representation of the FSA, and the running time of the procedure is polynomial in the diversity and ln(1/ epsilon ), where epsilon is a given upper bound on the probability that the procedure returns an incorrect result. Some evidence for the practical efficiency of the approach is presented.

Original language	English (US)
Title of host publication	Annual Symposium on Foundations of Computer Science (Proceedings)
Publisher	IEEE
Pages	78-87
Number of pages	10
ISBN (Print)	0818608072, 9780818608070
DOIs	https://doi.org/10.1109/sfcs.1987.21
State	Published - 1987

Publication series

Name	Annual Symposium on Foundations of Computer Science (Proceedings)
ISSN (Print)	0272-5428

All Science Journal Classification (ASJC) codes

Hardware and Architecture

Access to Document

10.1109/sfcs.1987.21

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abstract = "A novel procedure is presented for inferring the structure of a finite-state automaton (FSA) from its input/output behavior, using access to the automaton to perform experiments. The procedure uses a novel representation for FSAs that is based on the notion of equivalence between tests. The number of such equivalence classes is called the diversity of the automaton; the diversity may be as small as the logarithm of the number of states of the automaton. The size of the representation of the FSA, and the running time of the procedure is polynomial in the diversity and ln(1/ epsilon ), where epsilon is a given upper bound on the probability that the procedure returns an incorrect result. Some evidence for the practical efficiency of the approach is presented.",

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