Abstract
This paper deals with the satisfiability of requirements put on the identifiability of unions of language families. We consider identification in the limit from a text with bounds on mindchanges and anomalies. We show that, though these identification types are not closed under the set union, some of them still have features that resemble closedness. To formalize this, we generalize the notion of closedness. Then by establishing “how closed” these identification types are we solve the satisfiability problem.
The research of the last three authors was supported by Latvian Science Council Grant No. 93.599. The research of the last two authors was supported by the “SWH izglītībai, zinātnei un kultūrai” scholarship.
Preview
Unable to display preview. Download preview PDF.
References
K. Apsītis, R. Freivalds, M. Kriķis, R. Simanovskis, J. Smotrovs. Unions of identifiable classes of total recursive functions. Lecture Notes in Artificial Intelligence, vol. 642, pp. 99–107. Springer-Verlag, 1992.
J. Case and C. Lynes. Machine inductive inference and language identification. Lecture Notes in Computer Science, vol. 140, pp. 107–115, Springer-Verlag, 1982.
E. M. Gold. Language identification in the limit. Information and Control, vol. 10, pp. 447–474, 1967.
S. Jain and A. Sharma. On identification by teams and probabilistic machines. Lecture Notes in Artificial Intelligence, vol. 961, pp. 108–145, Springer-Verlag, 1995.
D. N. Osherson, M. Stob, S. Weinstein. Systems That Learn. The MIT Press, 1986.
D. Osherson and S. Weinstein. Criteria of language learning. Information and Control, vol. 52, pp. 123–138, 1982.
H. Rogers, Jr. Theory of Recursive Functions and Effective Computability. McGraw-Hill, New York, 1967.
J. Smotrovs, EX-identification of unions. In preparation, 1996.
R. Smullyan. Theory of Formal Systems. Annals of Mathematical Studies, vol. 47, Princeton, 1961.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Apsītis, K., Freivalds, R., Simanovskis, R., Smotrovs, J. (1996). Unions of identifiable families of languages. In: Miclet, L., de la Higuera, C. (eds) Grammatical Interference: Learning Syntax from Sentences. ICGI 1996. Lecture Notes in Computer Science, vol 1147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033341
Download citation
DOI: https://doi.org/10.1007/BFb0033341
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61778-5
Online ISBN: 978-3-540-70678-6
eBook Packages: Springer Book Archive