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arXiv · 1506.03428

Formalization of closure properties for context-free grammars

Marcus V. M. Ramos·Ruy J. G. B. de Queiroz
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Abstract

Context-free language theory is a well-established area of mathematics, relevant to computer science foundations and technology. This paper presents the preliminary results of an ongoing formalization project using context-free grammars and the Coq proof assistant. The results obtained so far include the representation of context-free grammars, the description of algorithms for some operations on them (union, concatenation and closure) and the proof of related theorems (e.g. the correctness of these algorithms). A brief survey of related works is presented, as well as plans for further development.

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Marcus V. M. Ramos, Ruy J. G. B. de Queiroz. 2015-06-10. Formalization of closure properties for context-free grammars. https://arxiv.org/abs/1506.03428

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