Computation Tree Logic Formula Model Checking Using DNA Computing

Computation tree logic model checking is a formal verification technology that can ensure the correctness of systems. The vast storage density of deoxyribonucleic acid (DNA) molecules and the massive parallelism of DNA computing offer new methods for computation tree logic model checking. In this study, we propose a computation tree logic model checking method based on DNA computing. First, a system to-be-checked and a computation tree logic formula are encoded by single-stranded DNA molecules. Second, these singlestranded DNA molecules are mixed to spontaneously hybridize and form partial or complete double-stranded molecules. Finally, a series of molecular manipulations are applied to detect the double-stranded molecules so that the result whether the system satisfies the computation tree logic formula is obtained. Biological simulations confirm the validity of the new method.

Methodology for Integrating Computational Tree Logic Model Checking in Unified Modelling Language Artefacts A Case Study of an Embedded Controller

A unified modelling language (UML) based formal verification methodology that can be easily integrated into an embedded system software development life cycle is suggested. The approach augments UML diagrams with formal models through an interfacing domain and adds semantics to these diagrams. The suggested methodology; commences from functional specification and use case modelling, selects the most critical behaviour where formal verification can add value to the development cycle, analyses the selected behaviour using UML state transition diagram, derives a state chart matrix from the same, and a high level language software translates the state chart matrix to a labelled transition system. Safety properties are derived from system specifications and are expressed as computation tree logic (CTL) formulae. CTL model-checking algorithm from the literature is used for model- checking. The applicability of the suggested approach is established using a safety critical embedded controller used for deployment and recovery of sensor structures from an airborne platform.

Model Checking Temporal Logic Formulas Using Sticker Automata

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.