Abstract
We study the size-cost of boolean operations on constant height deterministic pushdown automata. We prove an asymptotically optimal exponential blow-up for union and intersection, as well as polynomial blow-up for complement.
This work was partially supported by CRUI/DAAD under the project “Programma Vigoni: Descriptional Complexity of Non-Classical Computational Models”, and by research grants VEGA 1/0035/09 and APVV-0035-10.
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References
Ehrenfeucht, A., Zieger, P.: Complexity measures for regular expressions. J. Computer and System Sciences 12, 134–146 (1976)
Geffert, V., Mereghetti, C., Palano, B.: More concise representation of regular languages by automata and regular expressions. Inf. and Comp. 208, 385–394 (2010)
Gruber, H., Holzer, M.: Language operations with regular expressions of polynomial size. Theor. Comput. Sci. 410, 3281–3289 (2009)
Holzer, M., Kutrib, M.: Nondeterministic descriptional complexity of regular languages. Int. J. Found. Comput. Sci. 14, 1087–1102 (2003)
Hopcroft, J.E., Motwani, R., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (2001)
Kutrib, M., Malcher, A., Wotschke, D.: The Boolean closure of linear context-free languages. Acta Inf. 45, 177–191 (2008)
Meyer, A.R., Fischer, M.J.: Economy of description by automata, grammars, and formal systems. In: IEEE 12th Symp. Switching and Automata Theory, pp. 188–191 (1971)
Yu, S., Zhuang, Q., Salomaa, K.: The state complexities of some basic operations on regular languages. Theoret. Comp. Sci. 125, 315–328 (1994)
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Bednárová, Z., Geffert, V., Mereghetti, C., Palano, B. (2011). The Size-Cost of Boolean Operations on Constant Height Deterministic Pushdown Automata. In: Holzer, M., Kutrib, M., Pighizzini, G. (eds) Descriptional Complexity of Formal Systems. DCFS 2011. Lecture Notes in Computer Science, vol 6808. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22600-7_7
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DOI: https://doi.org/10.1007/978-3-642-22600-7_7
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