This paper describes a modification of the power set construction for the transformation of self-verifying nondeterministic finite automata to deterministic ones. Using a set counting argument, the upper bound for this transformation can be lowered from to
Mots clés : self-verifying nondeterministic automata, descriptional complexity, power set construction
@article{ITA_2007__41_3_261_0, author = {Assent, Ira and Seibert, Sebastian}, title = {An upper bound for transforming self-verifying automata into deterministic ones}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {261--265}, publisher = {EDP-Sciences}, volume = {41}, number = {3}, year = {2007}, doi = {10.1051/ita:2007017}, mrnumber = {2354357}, zbl = {1130.68067}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ita:2007017/} }
TY - JOUR AU - Assent, Ira AU - Seibert, Sebastian TI - An upper bound for transforming self-verifying automata into deterministic ones JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2007 SP - 261 EP - 265 VL - 41 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ita:2007017/ DO - 10.1051/ita:2007017 LA - en ID - ITA_2007__41_3_261_0 ER -
%0 Journal Article %A Assent, Ira %A Seibert, Sebastian %T An upper bound for transforming self-verifying automata into deterministic ones %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2007 %P 261-265 %V 41 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ita:2007017/ %R 10.1051/ita:2007017 %G en %F ITA_2007__41_3_261_0
Assent, Ira; Seibert, Sebastian. An upper bound for transforming self-verifying automata into deterministic ones. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 3, pp. 261-265. doi : 10.1051/ita:2007017. http://archive.numdam.org/articles/10.1051/ita:2007017/
[1] Introduction to Automata Theory, Languages and Computation. Addison-Wesley, Reading, MA (1979). | MR | Zbl
and ,[2] On the Power of Las Vegas for One-way Communication Complexity, OBDDS, Finite Automata. Inform. Comput. 169 (2001) 284-296. | Zbl
and ,[3] A comparision of two types of finite automata. Problemy Kibernetiki 9 (1963) 321-326 (Russian).
,[4] Economy of Description by Automata, Grammars, and Formal Systems, in Proc. IEEE 12th Ann. Symp. on Switching and Automata Theory 1971, 188-191.
and ,[5] On the bounds for state-set size in the proofs of equivalence between deterministic, nondeterministic and two-way finite automata. IEEE Trans. Comput. 20 (1971) 1211-1214. | Zbl
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