RAIRO-Theor. Inf. Appl.
Volume 48, Number 1, January-March 2014Non-Classical Models of Automata and Applications (NCMA 2012)
|Page(s)||23 - 38|
|Published online||21 January 2014|
Reaction automata working in sequential manner∗,∗∗
Graduate School of Education, Waseda University, 1-6-1
Nishiwaseda, Shinjuku-ku, Tokyo
Accepted: 11 December 2013
Based on the formal framework of reaction systems by Ehrenfeucht and Rozenberg [Fund. Inform. 75 (2007) 263–280], reaction automata (RAs) have been introduced by Okubo et al. [Theoret. Comput. Sci. 429 (2012) 247–257], as language acceptors with multiset rewriting mechanism. In this paper, we continue the investigation of RAs with a focus on the two manners of rule application: maximally parallel and sequential. Considering restrictions on the workspace and the λ-input mode, we introduce the corresponding variants of RAs and investigate their computation powers. In order to explore Turing machines (TMs) that correspond to RAs, we also introduce a new variant of TMs with restricted workspace, called s(n)-restricted TMs. The main results include the following: (i) for a language L and a function s(n), L is accepted by an s(n)-bounded RA with λ-input mode in sequential manner if and only if L is accepted by a log s(n)-bounded one-way TM; (ii) if a language L is accepted by a linear-bounded RA in sequential manner, then L is also accepted by a P automaton [Csuhaj−Varju and Vaszil, vol. 2597 of Lect. Notes Comput. Sci. Springer (2003) 219–233.] in sequential manner; (iii) the class of languages accepted by linear-bounded RAs in maximally parallel manner is incomparable to the class of languages accepted by RAs in sequential manner.
Mathematics Subject Classification: 68Q05 / 68Q45
Key words: Models of biochemical reactions / sequential reaction automata / space complexity / Turing machines
© EDP Sciences 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.