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3Finite Systems Handling LanguageStudia Humana 4 (4): 3-12. 2015.The concept a finite multi-carrier algebraic system as well as a language for handling systems such as YAFOLL are introduced. The applicability of such systems to building a mathematical model of a part of reality, i.e. a mathematical structure that can be asked questions about the properties of subject domain objects and processes, is demonstrated.