کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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436998 | 690059 | 2012 | 16 صفحه PDF | دانلود رایگان |
Reaction automata are a formal model that has been introduced to investigate the computing powers of interactive behaviors of biochemical reactions (Okubo et al. (2012) [19], ). Reaction automata are language acceptors with multiset rewriting mechanism whose basic frameworks are based on reaction systems introduced in Ehrenfeucht and Rozenberg (2007) [8].In this paper we continue the investigation of reaction automata with a focus on the formal language theoretic properties of subclasses of reaction automata, called linear-bounded reaction automata (LRAs) and exponentially-bounded reaction automata (ERAs). Besides LRAs, we newly introduce an extended model (denoted by λ-LRAs) by allowing λ-moves in the accepting process of reaction, and investigate the closure properties of language classes accepted by both LRAs and λ-LRAs. Further, we establish new relationships of language classes accepted by LRAs and by ERAs with the Chomsky hierarchy. The main results include the following: (i)the class of languages accepted by λ-LRAs forms an AFL with additional closure properties,(ii)any recursively enumerable language can be expressed as a homomorphic image of a language accepted by an LRA,(iii)the class of languages accepted by ERAs coincides with the class of context-sensitive languages.
Journal: Theoretical Computer Science - Volume 454, 5 October 2012, Pages 206-221