Two Complete Axiom Systems for the Extended Language of Regular Expressions

IEEE Transactions on Computers · 1968

—Two consistent and complete formal systems for the algebraic transformation of regular expressions involving intersections and complements are given. Both systems are extensions of the system F1presented in Salomaa [5]. As a result, a method of eliminating intersections and complements from regular expressions is obtained. This solves a problem proposed by Eggan.

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