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arXiv · 1608.00749

Derived-Term Automata of Multitape Rational Expressions (Long version)

Akim Demaille
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Abstract

We introduce (weighted) rational expressions to denote series over Cartesian products of monoids. To this end, we propose the operator $|$ to build multitape expressions such as $(a^+|x + b^+|y)^*$. We define expansions, which generalize the concept of derivative of a rational expression, but relieved from the need of a free monoid. We propose an algorithm based on expansions to build multitape automata from multitape expressions.

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Akim Demaille. 2016-08-02. Derived-Term Automata of Multitape Rational Expressions (Long version). https://arxiv.org/abs/1608.00749

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