Article ID Journal Published Year Pages File Type
431249 The Journal of Logic and Algebraic Programming 2013 12 Pages PDF
Abstract

We consider rational power series over an alphabet Σ with coefficients in a ordered commutative semiring K and characterize them as the free ordered semialgebras in various classes defined by the least pre-fixed point rule and its dual. The results are generalizations of Kozen’s axiomatization of regular languages.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics