E. Cardoso, Maycon Amaro, Samuel da Silva Feitosa, L. Reis, A. R. D. Bois, R. Ribeiro
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The Design of a Verified Derivative-Based Parsing Tool for Regular Expressions
We describe the formalization of Brzozowski and Antimirov derivative based algorithms for regular expression parsing, in the dependently typed language Agda. The formalization produces a proof that either an input string matches a given regular expression or that no matching exists. A tool for regular expression based search in the style of the well known GNU grep has been developed with the certified algorithms. Practical experiments conducted with this tool are reported.