Geodesic
Syntax analysis of programs by the method of integral representations
Prikladnaya Diskretnaya Matematika. Supplement, no. 11 (2018), pp. 128-130

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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. 
@article{PDMA_2018_11_a38,
     author = {O. I. Egorushkin and I. V. Kolbasina and K. V. Safonov},
     title = {Syntax analysis of programs by the method of integral representations},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {128--130},
     publisher = {mathdoc},
     number = {11},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2018_11_a38/}
}
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O. I. Egorushkin; I. V. Kolbasina; K. V. Safonov. Syntax analysis of programs by the method of integral representations. Prikladnaya Diskretnaya Matematika. Supplement, no. 11 (2018), pp. 128-130. http://geodesic.mathdoc.fr/item/PDMA_2018_11_a38/