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The authors develop a non-wellfounded proof system, µHKA, that is sound and complete for the equational theory of context-free languages. They then use this result to obtain an alternative proof of completeness for an infinitary axiomatization of the same theory. Finally, they extend the system to handle ω-context-free languages.


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a-proof-theory-of-ω-context-free-languages-via-non-wellfounded-proofs


A Proof Theory of (ω-)Context-Free Languages via Non-Wellfounded Proofs


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Proof Theory of (ω-)Context-Free Languages