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Erschienen in:
2013 | OriginalPaper | Buchkapitel
Certified Parsing of Regular Languages
verfasst von : Denis Firsov, Tarmo Uustalu
Erschienen in: Certified Programs and Proofs
Verlag: Springer International Publishing
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We report on a certified parser generator for regular languages using the Agda programming language. Specifically, we programmed a transformation of regular expressions into a Boolean-matrix based representation of nondeterministic finite automata (NFAs). And we proved (in Agda) that a string matches a regular expression if and only if the NFA accepts it. The proof of the if-part is effectively a function turning acceptance of a string into a parse tree while the only-if part gives a function turning rejection into a proof of impossibility of a parse tree.