Multiresolutional semiotic systems

It turns out that intelligent systems cannot be completely and consistently described without reference to semiotics. Semiotics is a discipline that focuses upon maintenance of the systems of signs and symbols so that they could convey the intended meaning. Semiotics differs from mathematics and mathematical logic by its close attention to the operation of symbol grounding. Semiotics conducts this operation not only in the beginning and in the end of the problem solving process but at all stages of it. An important property of semiotic closure holds in the intelligent system as the paradigm for verification of consistency of its functioning. If a symbol demonstrates any changes in interpretation, this is recorded, and the required transformations continue under shifted interpretation. This paper outlines the set of theoretical premises required for constructing a pragmatically complete, logically consistent, and mathematically formalized semiotic system for interpretation and control.