Vector logic structures and functions of computing

Abstract

Vector logic computing is a cost-effective mechanism for intelligent in-memory computing, utilizing read-write transactions to address practical problems in the analysis and management of physical, social, and business processes based on monitoring. The concept of a mechanism is introduced as a harmonious relationship between the model and the algorithm for computing. The investigation aims to significantly reduce time and energy costs associated with simulation processes in the physical, social, and digital worlds. The means to achieve this goal is using vector-logical in-memory computing mechanisms, which significantly simplify algorithms due to the exponential redundancy of data structures. The mechanisms for reducing the algorithm's computational complexity, which is typically exponential due to the use of data structures based on vector logic, are considered. An analysis of functions and structures is conducted from the perspective of algorithmic simplicity for modeling and simulation purposes. Several mechanisms based on Cartesian logic are proposed for modeling a logical vector from the structure of a digital circuit. A Boolean vector is used to create a test map in three matrix operations. A cloud-based MOSI service is offered that simulates the behavior and faults of digital circuits and their functionalities using truth table addresses.