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On the Completeness of Lambek Calculus with Respect to Cofinite Language Models

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Logical Aspects of Computational Linguistics (LACL 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7351))

Abstract

We give an alternative proof of the fact that the product-free Lambek calculus is complete with respect to cofinite language models. It was first proved by Buszkowski in 1982 by the method of barriers. We use another method, which is also based on the technique of canonical models, to obtain a new proof of this result.

This research was partially supported by the Russian Foundation for Basic Research (grant 11-01-00958).

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References

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© 2012 Springer-Verlag Berlin Heidelberg

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Sorokin, A. (2012). On the Completeness of Lambek Calculus with Respect to Cofinite Language Models. In: Béchet, D., Dikovsky, A. (eds) Logical Aspects of Computational Linguistics. LACL 2012. Lecture Notes in Computer Science, vol 7351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31262-5_16

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  • DOI: https://doi.org/10.1007/978-3-642-31262-5_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31261-8

  • Online ISBN: 978-3-642-31262-5

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