Theory of S-symbols: Conceptual foundations

The proposed theory of S-symbols is an extended generalization of the theory of S-modeling. It is considered as a part of the methodological support for the development of artificial intelligence systems in the S-environment (including knowledge systems, systems of S-modeling of tasks and program design, etc.). The S-environment based on interconnected S-systems (symbols, codes, and signals) serves as the infrastructural basis for the implementation of information technologies for various purposes. The article presents the first part (out of four) of the description of the theory. The rationale for expediency and basic concepts (S-symbol, S-code, S-signal, etc.) are given. The kinds and types of S-(symbols, codes, and signals) are defined. Equivalence, order, and membership relations are introduced, defined on S-systems (symbols, codes, and signals). Definitions are accompanied by examples.