arXiv
Open Access
2023
Closure Properties of General Grammars -- Formally Verified
Martin Dvorak
Jasmin Blanchette
Abstrak
We formalized general (i.e., type-0) grammars using the Lean 3 proof assistant. We defined basic notions of rewrite rules and of words derived by a grammar, and used grammars to show closure of the class of type-0 languages under four operations: union, reversal, concatenation, and the Kleene star. The literature mostly focuses on Turing machine arguments, which are possibly more difficult to formalize. For the Kleene star, we could not follow the literature and came up with our own grammar-based construction.
Topik & Kata Kunci
Penulis (2)
M
Martin Dvorak
J
Jasmin Blanchette
Akses Cepat
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- Tahun Terbit
- 2023
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