Syntax analysis of programs by the method of integral representations

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.