Abstract
The notions of iso-arrays, iso-pictures, local iso-picture languages and recognizable iso-picture languages have been introduced and studied in [6]. In [6] we have provided an algorithm to learn local iso-picture languages through identification in the limit using positive data. In this paper, we construct a two-dimensional on-line tessellation automaton to recognize iso-picture languages and present an algorithm to learn recognizable iso-picture languages from positive data and restricted subset queries.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Angluin, D.: Inductive inference of formal languages from positive data. Information and Control 45, 117–135 (1980)
Angluin, D.: Learning regular sets from queries and counter examples. Inform. Comput 75, 87–106 (1987)
Blum, M., Hewitt, C.: Automata on a 2-dimensional tape. In: IEEE Symposium on switching and automata theory, pp. 155–160 (1967)
Giammarresi, D., Restivo, A.: Two-dimensional finite state recognizability. Fundamenta Informatica 25(3,4), 399–422 (1996)
Gold, E.M.: Language identification in the limit. Information and Control 10, 447–474 (1967)
Kalyani, T., Dare, V.R., Thomas, D.G.: Local and Recognizable iso Picture languages. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds.) ICONIP 2004. LNCS, vol. 3316, pp. 738–743. Springer, Heidelberg (2004)
Sakakibara, Y.: Recent advances of grammatical inference. Theoretical Computer Science 185, 15–45 (1997)
Siromoney, R., Mathew, L., Subramanian, K.G., Dare, V.R.: Learning of Recognizable Picture Languages. International Journal of Pattern Recognition and Artificial Intelligence 8, 627–639 (1994)
Yokomori, T.: Learning local languages from positive data. In: Proceedings of Fujitsu IIAS - SIS Workshop on Computational Learning Theory 1989, Numazu, pp. 1–16 (1989)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kalyani, T., Dare, V.R., Thomas, D.G., Robinson, T. (2006). Iso-array Acceptors and Learning. In: Sakakibara, Y., Kobayashi, S., Sato, K., Nishino, T., Tomita, E. (eds) Grammatical Inference: Algorithms and Applications. ICGI 2006. Lecture Notes in Computer Science(), vol 4201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11872436_27
Download citation
DOI: https://doi.org/10.1007/11872436_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45264-5
Online ISBN: 978-3-540-45265-2
eBook Packages: Computer ScienceComputer Science (R0)