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Conversion of Parallel Regular Expressions to Non-deterministic Finite Automata using Partial Derivatives


Paper Type 
Contributed Paper
Title 
Conversion of Parallel Regular Expressions to Non-deterministic Finite Automata using Partial Derivatives
Author 
Ajay Kumar and Anil Kumar Verma
Email 
ajayloura@gmail.com
Abstract:
         Several techniques like Thompson’s construction, partial derivatives, follow automata and positional automata have been proposed for the conversion of regular expressions to non-deterministic finite automata. Researchers have proposed different methodologies for the conversion of parallel regular expressions to non-deterministic finite automata having the number of states O(2|r|). The aim of the paper is to propose a new approach for the conversion of parallel regular expressions to non-deterministic finite automata. This innovative approach is the generalization of the Antimirov partial derivatives for the conversion of regular expressions to e-free non-deterministic finite automata. The number of states of the non-deterministic finite automaton is reduced from exponential O(2|r|) to polynomial (O(mk+1)), using this novel approach.

Start & End Page 
1409 - 1418
Received Date 
2012-10-18
Revised Date 
Accepted Date 
2013-05-31
Full Text 
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Keyword 
Non-deterministic finite automata, Parallel regular expression, Regular expression, Shuffle operator.
Volume 
Vol.41 No.5/2 (OCTOBER 2014)
DOI 
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Chiang Mai Journal of Science

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