Title
The Query Complexity of Learning DFA
Abstract
It is known that the class of deterministic finite automata is polynomial time learnable by using membership and equivalence queries. We investigate the query complexity of learning deterministic finite automata, i.e., the number of membership and equivalence queries made during the process of learning. We extend a known lower bound on membership queries to the case of randomized learning algorithms, and prove lower bounds on the number of alternations between membership and equivalence queries. We also show that a trade-off exists, allowing us to reduce the number of equivalence queries at the price of increasing the number of membership queries.
Year
DOI
Venue
1994
10.1007/BF03037351
New Generation Comput.
Keywords
Field
DocType
query learning,trade-off,equivalence query,membership query,deterministic finite automata,lower bound,polynomial time
Query learning,Deterministic automaton,Computer science,Upper and lower bounds,Deterministic finite automaton,Theoretical computer science,Finite-state machine,Equivalence (measure theory),Time complexity
Journal
Volume
Issue
ISSN
12
4
1882-7055
Citations 
PageRank 
References 
6
0.58
9
Authors
4
Name
Order
Citations
PageRank
José L. Balcázar170162.06
Josep Díaz2201.80
Ricard Gavaldà3126581.30
Osamu Watanabe4960104.55