Abstract
We survey results about the proof theoretic approach to formal grammars, concentrating on those that can be obtained from the normalization theorem. In particular, we survey results that relate proof theoretic grammars to context-free grammars and results on the strong generative capacity of proof theoretic grammars. The paper concludes with a list of open problems concerning different issues of complexity of proof theoretical grammars.
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© 2003 Springer Science+Business Media Dordrecht
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Tiede, HJ. (2003). Proof Theory and Formal Grammars: Applications of Normalization. In: Löwe, B., Malzkom, W., Räsch, T. (eds) Foundations of the Formal Sciences II. Trends in Logic, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0395-6_17
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DOI: https://doi.org/10.1007/978-94-017-0395-6_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6233-8
Online ISBN: 978-94-017-0395-6
eBook Packages: Springer Book Archive