Grammatical structure with the logical conclusion

Authors

  • Виктор Иванович Шинкаренко Dnepropetrovsk National University of Railway Transport named After Acad. B. Lazarian st. ak. Lazarian, 2, Dnepropetrovsk, Ukraine, 49010, Ukraine
  • Вадим Александрович Андрющенко Dnepropetrovsk National University of Railway Transport named After Acad. B. Lazarian st. ak. Lazarian, 2, Dnepropetrovsk, Ukraine, 49010, Ukraine
  • Валерий Михайлович Ильман Dnepropetrovsk National University of Railway Transport named After Acad. B. Lazarian st. ak. Lazarian, 2, Dnepropetrovsk, Ukraine, 49010, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.5334

Keywords:

grammatical structure, knowledge representation, hybrid structure, syllogism, grammatical conclusion, formal language

Abstract

The formal grammatical approach and the approach based on logical statements are general-purpose simulation means of information systems. These approaches are used in designing and representation of programming languages, algorithms, state machines, systems of pattern recognition, designing of compilers, bases of data and knowledge, and other applications of artificial intelligence.

The goal of this research is to construct a hybrid grammatical structure which allows to generalize and extend both grammatical structures with operations of substitution, matrix substitution, homomorphism and intelligent systems with the operations of substitution and logical syllogisms.

The formal hybrid system is constructed in two stages. At the first stage, the formal structure of knowledge is determined as an element of the grammatical structure carrier. And at the second stage, the formal grammatical system is determined with the logical conclusion. The formal structure of knowledge is based on the production approach of knowledge representation as a subjective formal constructive system. The system is constructed on the dictionary of notions using the proposed semiotics of formation formulas of knowledge. The set of formulas of knowledge forms an infinite knowledge base. The construction of the formal grammatical system with the conclusion is implemented on the formal structure of knowledge using the technique for the identification of the formal language based on a combination of logical syllogisms and operations of substitutions.

The formal grammatical system with logical conclusion can be used in the designing and synthesis of state machines and other objects of artificial intelligence

Author Biographies

Виктор Иванович Шинкаренко, Dnepropetrovsk National University of Railway Transport named After Acad. B. Lazarian st. ak. Lazarian, 2, Dnepropetrovsk, Ukraine, 49010

Doctor of science, Professor, Associate Professor

Department of "Computer Information Technology"

Вадим Александрович Андрющенко, Dnepropetrovsk National University of Railway Transport named After Acad. B. Lazarian st. ak. Lazarian, 2, Dnepropetrovsk, Ukraine, 49010

Ph. D., Associate Professor

Department of "Computer Information Technology"

Валерий Михайлович Ильман, Dnepropetrovsk National University of Railway Transport named After Acad. B. Lazarian st. ak. Lazarian, 2, Dnepropetrovsk, Ukraine, 49010

Ph. D., Associate Professor, Associate Professor

Department of "Computer Information Technology"

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Published

2012-12-07

How to Cite

Шинкаренко, В. И., Андрющенко, В. А., & Ильман, В. М. (2012). Grammatical structure with the logical conclusion. Eastern-European Journal of Enterprise Technologies, 6(2(60), 25–31. https://doi.org/10.15587/1729-4061.2012.5334

Issue

Vol. 6 No. 2(60) (2012): Information technology

Section

Information technology

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Copyright (c) 2014 Виктор Иванович Шинкаренко, Вадим Александрович Андрющенко, Валерий Михайлович Ильман

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