### Abstract

As an important complex problem, the temporal logic model checking problem is still far from being fully resolved under the circumstance of DNA computing, especially Computation Tree Logic (CTL), Interval Temporal Logic (ITL), and Projection Temporal Logic (PTL), because there is still a lack of approaches for DNA model checking. To address this challenge, a model checking method is proposed for checking the basic formulas in the above three temporal logic types with DNA molecules. First, one-type single-stranded DNA molecules are employed to encode the Finite State Automaton (FSA) model of the given basic formula so that a sticker automaton is obtained. On the other hand, other single-stranded DNA molecules are employed to encode the given system model so that the input strings of the sticker automaton are obtained. Next, a series of biochemical reactions are conducted between the above two types of single-stranded DNA molecules. It can then be decided whether the system satisfies the formula or not. As a result, we have developed a DNA-based approach for checking all the basic formulas of CTL, ITL, and PTL. The simulated results demonstrate the effectiveness of the new method.

Original language | English (US) |
---|---|

Article number | 7941845 |

Journal | BioMed Research International |

Volume | 2017 |

DOIs | |

State | Published - 2017 |

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### ASJC Scopus subject areas

- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)

### Cite this

*BioMed Research International*,

*2017*, [7941845]. https://doi.org/10.1155/2017/7941845

**Model Checking Temporal Logic Formulas Using Sticker Automata.** / Zhu, Weijun; Feng, Changwei; Wu, Huanmei.

Research output: Contribution to journal › Article

*BioMed Research International*, vol. 2017, 7941845. https://doi.org/10.1155/2017/7941845

}

TY - JOUR

T1 - Model Checking Temporal Logic Formulas Using Sticker Automata

AU - Zhu, Weijun

AU - Feng, Changwei

AU - Wu, Huanmei

PY - 2017

Y1 - 2017

N2 - As an important complex problem, the temporal logic model checking problem is still far from being fully resolved under the circumstance of DNA computing, especially Computation Tree Logic (CTL), Interval Temporal Logic (ITL), and Projection Temporal Logic (PTL), because there is still a lack of approaches for DNA model checking. To address this challenge, a model checking method is proposed for checking the basic formulas in the above three temporal logic types with DNA molecules. First, one-type single-stranded DNA molecules are employed to encode the Finite State Automaton (FSA) model of the given basic formula so that a sticker automaton is obtained. On the other hand, other single-stranded DNA molecules are employed to encode the given system model so that the input strings of the sticker automaton are obtained. Next, a series of biochemical reactions are conducted between the above two types of single-stranded DNA molecules. It can then be decided whether the system satisfies the formula or not. As a result, we have developed a DNA-based approach for checking all the basic formulas of CTL, ITL, and PTL. The simulated results demonstrate the effectiveness of the new method.

AB - As an important complex problem, the temporal logic model checking problem is still far from being fully resolved under the circumstance of DNA computing, especially Computation Tree Logic (CTL), Interval Temporal Logic (ITL), and Projection Temporal Logic (PTL), because there is still a lack of approaches for DNA model checking. To address this challenge, a model checking method is proposed for checking the basic formulas in the above three temporal logic types with DNA molecules. First, one-type single-stranded DNA molecules are employed to encode the Finite State Automaton (FSA) model of the given basic formula so that a sticker automaton is obtained. On the other hand, other single-stranded DNA molecules are employed to encode the given system model so that the input strings of the sticker automaton are obtained. Next, a series of biochemical reactions are conducted between the above two types of single-stranded DNA molecules. It can then be decided whether the system satisfies the formula or not. As a result, we have developed a DNA-based approach for checking all the basic formulas of CTL, ITL, and PTL. The simulated results demonstrate the effectiveness of the new method.

UR - http://www.scopus.com/inward/record.url?scp=85031902298&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031902298&partnerID=8YFLogxK

U2 - 10.1155/2017/7941845

DO - 10.1155/2017/7941845

M3 - Article

C2 - 29119114

AN - SCOPUS:85031902298

VL - 2017

JO - BioMed Research International

JF - BioMed Research International

SN - 2314-6133

M1 - 7941845

ER -