Abstract
We propose linear systems of hedge language equations as a formalism to represent regular hedge languages. This formalism is suitable for several algebraic computations, such as intersections, quotients, left and right factors of regular hedge languages. We indicate algorithms for the translation between hedge automata and linear systems of hedge language equations, and for the computations mentioned before.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Antimirov, V.M.: Partial derivatives of regular expressions and finite automaton constructions. Theoretical Computer Science 155, 291–319 (1996)
Conway, J.H.: Regular Algebra and Finite Machines. Mathematics series. Chapman and Hall, Boca Raton (1971)
Hosoya, H., Vouillon, J., Pierce, B.C.: Regular expression types for XML. ACM Transactions on Programming Languages and Systems 27(1), 46–90 (2005)
Kozen, D.C.: Automata and Computability. Undergraduate Texts in Computer Science. Springer, New York (1997)
Marin, M., Kutsia, T.: Computational methods in an algebra of regular hedge expressions. RISC Report Series 09-03, RISC-Linz (March 2009)
Murata, M.: Hedge automata: a formal model for XML schemata (1999), http://www.xml.gr.jp/relax/hedge_nice.html
Murata, M.: Extended path expressions for XML. In: Proceedings of the 20th symposium on Principles of Database Systems (PODS 2001), Santa Barbara, California, USA, pp. 126–137. ACM, New York (2001)
Murata, M., Lee, D., Mani, M., Kawaguchi, K.: Taxonomy of XML schema languages using formal language theory. ACM Transactions on Internet Technology 5(4), 660–704 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Marin, M., Kutsia, T. (2010). Linear Systems for Regular Hedge Languages. In: Grundspenkis, J., Kirikova, M., Manolopoulos, Y., Novickis, L. (eds) Advances in Databases and Information Systems. ADBIS 2009. Lecture Notes in Computer Science, vol 5968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12082-4_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-12082-4_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12081-7
Online ISBN: 978-3-642-12082-4
eBook Packages: Computer ScienceComputer Science (R0)