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 Prikl. Diskr. Mat. Suppl., 2018, Issue 11, Pages 128–130 (Mi pdma379)

Mathematical Foundations of Informatics and Programming

Syntax analysis of programs by the method of integral representations

O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov

M. F. Reshetnev Siberian State University of Science and Technologies, Krasnoyarsk

Abstract: A new method for syntactical analysis of the monomials of a context-free language, as a model of programming languages, based on the integral representation of the syntactical polynomial of a program is proposed in the paper. It is shown that the integral of a fixed multiplicity over a cycle allows finding the syntactical polynomial of monomials (programs) with unlimited number of symbols that gives a new approach to the problem of syntactical analysis.

Keywords: formal power series, commutative image, syntactical analysis, integral representation.

 Funding Agency Grant Number Russian Foundation for Basic Research 17-47-240318

DOI: https://doi.org/10.17223/2226308X/11/39

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UDC: 519.682

Citation: O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov, “Syntax analysis of programs by the method of integral representations”, Prikl. Diskr. Mat. Suppl., 2018, no. 11, 128–130

Citation in format AMSBIB
\Bibitem{EgoKolSaf18} \by O.~I.~Egorushkin, I.~V.~Kolbasina, K.~V.~Safonov \paper Syntax analysis of programs by the method of integral representations \jour Prikl. Diskr. Mat. Suppl. \yr 2018 \issue 11 \pages 128--130 \mathnet{http://mi.mathnet.ru/pdma379} \crossref{https://doi.org/10.17223/2226308X/11/39}