2015•Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)Open access

Formalization of the pumping lemma for context-free languages

Marcus VinÃcius Midena Ramos, Almeida, José Carlos Bacelar, Nelma Moreira, De Queiroz, Ruy José Guerra Barretto

Abstract

Context-free languages are highly important in computer language processing technology as well as in formal language theory. The Pumping Lemma is a property that is valid for all context-free languages, and is used to show the existence of non context-free languages. This paper presents a formalization, using the Coq proof assistant, of the Pumping Lemma for context-free languages.

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Key concepts: Pumping lemma for regular languages, Lemma (botany), Context (archaeology), Computer science, Context-free language, Programming language, Abstract family of languages, Property (philosophy)