Abstract
We present a simple approach to define Boolean algebras on languages. We proceed by inverse deterministic and length-preserving morphisms on automata whose vertices are words. We give applications for context-free languages and context-sensitive languages.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Alur, R., Madhusudan, P.: Visibly pushdown languages. In: Babai, L. (ed.) 36th STOC ACM Proceedings, pp. 202ā211 (2004)
Burkart, O., Caucal, D., Moller, F., Steffen, B.: Verification on infinite structures. In: Handbook of Process Algebra, pp. 545ā623 (2001)
Caucal, D.: On infinite transition graphs having a decidable monadic theory. In: Meyer, F., Monien, B. (eds.) ICALP 1996. LNCS, vol. 1099, pp. 194ā205. Springer, Heidelberg (1996). https://doi.org/10.1007/3-540-61440-0_128
Caucal, D.: Boolean algebras of unambiguous context-free languages. In: Hariharan, R., Mukund, M., Vinay, V. (eds.) 28th FSTTCS, Dagstuhl Research Server (2008)
Caucal, D., Rispal, C.: Recognizability for automata. In: Hoshi, M., Seki, S. (eds.) DLT 2018. LNCS, vol. 11088, pp. 206ā218. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-98654-8_17
Eilenberg, S.: AlgĆØbre catĆ©gorique et thĆ©orie des automates, Institut H. PoincarĆ© (1967). and Automata, languages and machines, Vol. A, Academic Press (1974)
Mehlhorn, K.: Pebbling mountain ranges and its application to DCFL-recognition. In: de Bakker, J., van Leeuwen, J. (eds.) ICALP 1980. LNCS, vol. 85, pp. 422ā435. Springer, Heidelberg (1980). https://doi.org/10.1007/3-540-10003-2_89
Nowotka, D., Srba, J.: Height-Deterministic Pushdown Automata. In: KuÄera, L., KuÄera, A. (eds.) MFCS 2007. LNCS, vol. 4708, pp. 125ā134. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74456-6_13
Rispal, C.: The synchronized graphs trace the context-sensitive languages. Electr. Notes Theor. Comput. Sci. 68(6), 55ā70 (2002)
Thomas, W.: Uniform and nonuniform recognizability. Theoretical Computer Science 292, 299ā316 (2003)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Caucal, D., Rispal, C. (2019). Boolean Algebras by Length Recognizability. In: Margaria, T., Graf, S., Larsen, K. (eds) Models, Mindsets, Meta: The What, the How, and the Why Not?. Lecture Notes in Computer Science(), vol 11200. Springer, Cham. https://doi.org/10.1007/978-3-030-22348-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-22348-9_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-22347-2
Online ISBN: 978-3-030-22348-9
eBook Packages: Computer ScienceComputer Science (R0)