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Book Chapter
Learning Unary Output Two-Tape Automata from Multiplicity and Equivalence Queries
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 1501/1998
Book
Algorithmic Learning Theory
DOI
10.1007/3-540-49730-7
Copyright
1998
ISBN
978-3-540-65013-3
DOI
10.1007/3-540-49730-7_7
Pages
87-102
Subject Collection
Computer Science
SpringerLink Date
Thursday, January 01, 1998
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Learning Unary Output Two-Tape Automata from Multiplicity and Equivalence Queries
Giovanna Melideo
5
and Stefano Varricchio
5
(5)
Dipartimento di Matematica Pura ed Applicata, Universita’ di L’Aquila, Via Vetoio, I-67100 L’Aquila, Italy
Abstract
We investigate the learning problem of unary output two-tape non deterministic finite automata (unary output 2-tape NFAs) from multiplicity and equivalence queries. Given an alphabet
A
and a unary alphabet
x
, a unary output 2-tape NFA accepts a subset of A
A
*
x
x
*
. In [
6
] Bergadano and Varricchio proved that the behavior of an unknown automaton with multiplicity in a field
K
(
K
-automaton) is exactly identifiable when multiplicity and equivalence queries are allowed. In this paper multiplicity automata are used to prove the learnability of unary output 2-tape NFA’s. We shall identify the behavior of a unary output 2-tape NFA using an automaton with multiplicity in
K
rat
〈〈
x
〉〉. We provide an algorithm which is polynomial in the size of this automaton.
Giovanna
Melideo
Email:
melideo@univaq.it
Stefano
Varricchio
Email:
varricch@univaq.it
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