Partial Derivatives for Context-Free Languages: From μμ-Regular Expressions to Pushdown Automata

preprint2017arXivOpen access

Abstract

We extend Antimirov's partial derivatives from regular expressions to μμ-regular expressions that describe context-free languages. We prove the correctness of partial derivatives as well as the finiteness of the set of iterated partial derivatives. The latter are used as pushdown symbols in our construction of a nondeterministic pushdown automaton, which generalizes Antimirov's NFA construction.

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