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arXiv · 2404.09862

A Uniform Framework for Language Inclusion Problems

Kyveli Doveri·Pierre Ganty·Chana Weil-Kennedy
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Abstract

We present a uniform approach for solving language inclusion problems. Our approach relies on a least fixpoint characterization and a quasiorder to compare words of the "smaller" language, reducing the inclusion check to a finite number of membership queries in the "larger" language. We present our approach in detail on the case of inclusion of a context-free language given by a grammar into a regular language. We then explore other inclusion problems and discuss how to apply our approach.

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Kyveli Doveri, Pierre Ganty, Chana Weil-Kennedy. 2024-04-15. A Uniform Framework for Language Inclusion Problems. https://doi.org/10.1007/978-3-031-56222-8_9

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