Recently, several diierent sound and complete tableau cal-culi were introduced, all sharing the idea to use a selection function and so-called restart clauses: A-ordered tableaux, tableaux with selection function, and strict restart model elimination. We present two new sound and complete abstract tableau calculi which generalize these on the ground level. This makes diierences and similarities...

We present a tableau system for the model checking problem of the linear time /*-calculus. It improves the system of Stifling and Walker by simplifying the success condition for a tableau. In our system success for a leaf is determined by the path leading to it, whereas Stifling and Walker's method requires the examination of a potentially infinite number of paths extending over the whole tableau.

The tilt of Saturn’s spin axis to its orbit plane is 26N7, while that of Jupiter is only 3N1. We offer an explanation for this puzzling difference owing to gravitational perturbations of Saturn by the planet Neptune. A similarity between the precession period of Saturn’s spin axis and the 1:87 ; 10 yr precession period of Neptune’s slightly inclined orbit plane implicates a resonant interaction...

The Gaussian factor copula model is the market standard model for multi-name credit derivatives. Its main drawback is that factor copula models exhibit correlation smiles when calibrating against market tranche quotes. To overcome the calibration deficiency, we introduce a multi-period factor copula model by chaining one-period factor copula models. The correlation coefficients in our model are...

We construct an analytic model for the mass distributions of superclusters and clusters in each supercluster. Our model is a modification of the Press-Schechter theory, and defines superclusters as the regions that have some overdensity smaller than those for usual virialized objects. We compare the mass functions with a catalog of superclusters in the Sloan Digital Sky Survey Early Data Releas...