Dialectical Logic K-Model: the Discrete Time Dynamical Sampling System, Multidimensional Logic Variable and Associate Database(ADB)

Abstract

Following the earlier works about dialectical logic K-model by the author, in this succeed paper author described the three problems : the first is that discrete time dynamical sampling system to solve which the true-value function is unknown and need discrete time dynamical sampling system to obtain a series of sampled discrete time true-value function points to predict the continuous true-value function or we need some properties of true value function in the frequency domain, a several formulas for true-value function of single-dimensional logic variable via discrete Fourier transformation are explained; the second is the graph expression and matrices expression for the multidimensional logic variables in dialectical logic K-model. Multidimensional logic variable is important that can be used in multidimensional contradictions and in multiple-person games. In fact, author also described the graph $G_K^p$ and corresponding matrices of the multidimensional logic variables; the third is the machine oriented database, associated database i.e. ADB, this is a new database for artificial intelligence, in present paper author describes theoretical properties and some features of ADB.