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ALGEBRAIC, RATIONAL AND CONTEXT-FREE POWER-SERIES IN NON-COMMUTING VARIABLES.
HEBREW UNIV JERUSALEM (ISRAEL)
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The classes of algebraic and rational power-series on non-commuting variables are introduced as the solutions of certain polynomials systems. These systems can be viewed as context-free grammars with weighted productions - the weights being taken from a ring. This observation is used to derive basic properties of those classes of power-series.
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