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تسجيل مستخدم جديدCertified Context-Free Parsing: A formalisation of Valiants Algorithm in Agda
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نشر من قبل
J\\\"urgen Koslowski
تاريخ النشر
2016
مجال البحث
الهندسة المعلوماتية
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English
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Valiant (1975) has developed an algorithm for recognition of context free languages. As of today, it remains the algorithm with the best asymptotic complexity for this purpose. In this paper, we present an algebraic specification, implementation, and proof of correctness of a generalisation of Valiants algorithm. The generalisation can be used for recognition, parsing or generic calculation of the transitive closure of upper triangular matrices. The proof is certified by the Agda proof assistant. The certification is representative of state-of-the-art methods for specification and proofs in proof assistants based on type-theory. As such, this paper can be read as a tutorial for the Agda system.
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