We investigate partial order reduction techniques for the verification of multi-agent systems. We investigate the case of interleaved interpreted systems. These are a particular class of interpreted systems, a mainstream MAS formalism, in which only one action at the time is performed in the system. We present a notion of stuttering-equivalence and prove the semantical equivalence of stuttering-equivalent traces with respect to linear and branching time temporal logics for knowledge without the next operator. We give algorithms to reduce the size of the models before the model checking step and show preservation properties. We evaluate the technique by discussing implementations and the experimental results obtained against well-known examples in the MAS literature.
To solve the problem of low precision of numerical simulation of the exposed reinforced anti-corrosion layer damage of the cross-sea bridge, we use the stress ratio between the double slash and the reinforced anti-corrosion layer to analyze the parameters and the damage rate in different qualities of reinforced anti-corrosion layers, use Ansys software to build reinforced finite element model, and analyze the damage degree when the inclination angle was 15 °, 45 ° and 60 °, respectively. The experimental results showed that the proposed method can improve the numerical simulation efficiency, the numerical simulation results, the experimental results, and the theoretical analysis results have good consistency and stability.
Calcium (Ca²⁺) plays crucial roles in regulation of pollen tube growth. The influx of Ca²⁺ into the pollen tube is mediated by ion channels, and the density and activity of Ca²⁺ channels in pollen plasma membranes critically determines their electrical properties. In this report, using whole-cell and single-channel patch-clamping techniques, we investigated developmental changes of hyperpolarization-activated Ca²⁺ channel activity in pear (Pyrus pyrifolia) pollen and its relationship with pollen viability. For both pollen and pollen tubes, hyperpolarization-activated Ca²⁺ channels had the same conductance and cAMP sensitivity, indicating that they were the same channels. However, the Ca²⁺ current density in pollen tube protoplasts was greater than that in pollen protoplasts. Compared with day-3 flowers’ pollen, hyperpolarizationactivated Ca²⁺ current density was significantly lower in day 0 and day 3 flowers’ pollen, which was consistent with the pollen germination and pollen tube growth, indicating that pollen protoplasts’ increased Ca²⁺ current density may have enhanced the pollen viability. During pollen tube elongation, pollen tube plasma membrane Ca²⁺ current density increased with increased length pollen tubes up to 300 µm. All of these results indicated that hyperpolarization-activated Ca²⁺ channel activity was associated with in pear pollen development and may have a causal link between Ca²⁺ channel activity and pollen viability.
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