ON A SOLVING OF ALGEBRAIC EQUATIONS SYSTEMS ASSOCIATED WITH CONTEXT-FREE LANGUAGES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 2(2).

Systems of algebraic equations (polynomial and linear) which appear in context-free languages theory are considered. The solution of the system is a set of formal power series expressing one group of variables trough the other group of variables considered as parameters. It is impossible to directly use the classical elimination processes for a non-commutative ring. The conditions of solubility of a polynomial equations system as well as possibility to make lower the order of a linear equations system are given in the article