### Abstract

We propose a new computing model called chemical reaction automata (CRAs) as a simplified variant of reaction automata (RAs) studied in recent literature ([7–9]).

We show that CRAs in maximally parallel manner are computationally equivalent to Turing machines, while the computational power of CRAs in sequential manner coincides with that of the class of Petri nets, which is in marked contrast to the result that RAs (in both maximally parallel and sequential manners) have the computing power of Turing universality ([7, 8]). Intuitively, CRAs are defined as RAs without inhibitor functioning in each reaction, providing an offline model of computing by chemical reaction networks (CRNs).

Thus, the main results in this paper not only strengthen the previous result on Turing computability of RAs but also clarify the computing powers of inhibitors in RA computation.

Original language | English |
---|---|

Pages (from-to) | 53-66 |

Number of pages | 14 |

Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Volume | 8727 |

Publication status | Published - 2014 Jan 1 |

### Keywords

- Chemical reaction automata
- Chemical reaction networks
- Reaction automata
- Turing computability

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)