Abstract
The notion of expression derivative due to Brzozowski leads to the construction of a deterministic automaton from an extended regular expression, whereas the notion of partial derivative due to Antimirov leads to the construction of a non-deterministic automaton from a simple regular expression. In this paper, we generalize Antimirov partial derivatives to regular expressions extended to complementation and intersection. For a simple regular expression with n symbols, Antimirov automaton has at most n + 1 states. As far as an extended regular expression is concerned, we show that the number of states can be exponential.
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Caron, P., Champarnaud, JM., Mignot, L. (2011). Partial Derivatives of an Extended Regular Expression. In: Dediu, AH., Inenaga, S., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2011. Lecture Notes in Computer Science, vol 6638. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21254-3_13
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DOI: https://doi.org/10.1007/978-3-642-21254-3_13
Publisher Name: Springer, Berlin, Heidelberg
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