Abstract Theory of Adaptive Agents

The syntactic and semantic aspects of the formal language of General System Logical Theory (GSLT), also known as Abstract Theory of Adaptive Agents is presented in order to improve the formal description of the action of the adaptive agents. Following an introduction to the language of GSLT, we show the possibility of the action of the Adaptive Agents in a number of areas. The category theory will be the abstract structure to model the adaptive agent at different orders. Every semantic unity which describes an action of the adaptive agent is expressed by an elementary unity denoted Elementary Logical Systems (ELS) which are the basic components of GSLT. GSLT uses the input-output paradigm to represent any action. The static classical form of categorical structures is transformed as a dynamic transformation of objects. The input-output paradigm of system theory is well known and is extensively developed in the literature.